NAME DATE PERIOD 6(7 5) 3v t 5s t. rv 3 s

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1 - NAME DATE PERID Skills Practice Epressions and Formulas Find the value of each epression (3 8) 2 (4) (2 2 2) 6(7 5) 5. [ 9 0(3)] (68 7) [3(5) ]5 Evaluate each epression if r, s 3, t 2, v 0, and w r 2s 0. 2st 4rs. w(s r) 2. s 2r 6v 3. (4s) 2 4. s 2 r wt 5. 2(3r w) w[t (t r)] 8. 3v t 5s t 9. 9r 2 (s 2 )t 20. 7s 2v 2. TEMPERATURE The formula K C 273 gives the temperature in kelvins (K) for a given temperature in degrees Celsius. What is the temperature in kelvins when the temperature is 55 degrees Celsius? rv 3 s 2 2w r Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc TEMPERATURE The formula C (F 32) gives the temperature in degrees Celsius 9 for a given temperature in degrees Fahrenheit. What is the temperature in degrees Celsius when the temperature is 68 degrees Fahrenheit? Chapter 8 Glencoe Algebra 2

2 -2 NAME DATE PERID Skills Practice Properties of Real Numbers Name the sets of numbers to which each number belongs Name the propert illustrated b each equation a 0 3a 9. 2(r w) 2r 2w 0. 2r (3r 4r) (2r 3r) 4r () 5 Lesson -2 Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc [25(0.5)] [0.6(25)] (0b 2b) 7b (2b 0b) 7b Name the additive inverse and multiplicative inverse for each number Simplif each epression z z 2. (3g 3h) 5g 0h 22. a 2 a 4a 3a (m z) 5(2m z) (5 3 2z) 25. 6(2 v) 4(2v ) 26. (5d 3) (8 0d) 3 2 Chapter 5 Glencoe Algebra 2

3 -3 NAME DATE PERID Skills Practice Solving Equations Write an algebraic epression to represent each verbal epression.. 4 times a number, increased b less than 5 times a number 3. 6 times the sum of a number and 5 4. the product of 3 and a number, divided b times the difference of 4 and a number 6. the product of and the square of a number Write a verbal epression to represent each equation. 7. n b 2 3 b Name the propert illustrated b each statement.. If a 0.5b, and 0.5b 0, then a If d f, then d f. 3. If 7 4, then If (8 7)r 30, then 5r 30. Solve each equation. Check our solution. 5. 4m t 2t b 7 5 2b v a 2. a n 0.8n 5 4n Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Solve each equation or formula for the specified variable. 23. I prt, for p 24. 2, for A, for 26. A 2 r rh, for h Chapter 22 Glencoe Algebra 2

4 -4 NAME DATE PERID Skills Practice Solving Absolute Value Equations Evaluate each epression if w 0.4, 2, 3, and z 0.. 5w z 4. 7z 5. 0z z w w w Solve each equation. Check our solutions a k g c p w Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc n d 4d a k 0 9 Chapter 30 Glencoe Algebra 2

5 -5 NAME DATE PERID Skills Practice Solving Inequalities Solve each inequalit. Describe the solution set using set-builder or interval notation. Then, graph the solution set on a number line. z a q s 7s b z 9 5z 8. 7f 9 3f s 8 5s 0. 7t (t 4) m 0.3m 2m (5 7) Define a variable and write an inequalit for each problem. Then solve. 5. Nineteen more than a number is less than The difference of three times a number and 6 is at least 8. Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 7. ne half of a number is more than 6 less than the same number. 8. Five less than the product of 6 and a number is no more than twice that same number. Chapter 38 Glencoe Algebra 2

6 -6 NAME DATE PERID Skills Practice Solving Compound and Absolute Value Inequalities Write an absolute value inequalit for each of the following. Then graph the solution set on a number line.. all numbers greater than or equal to 2 2. all numbers less than 5 and greater or less than or equal to 2 than Lesson all numbers less than or greater 4. all numbers between 6 and 6 than Write an absolute value inequalit for each graph Solve each inequalit. Graph the solution set on a number line. Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 9. 2c 5 or c a 8 or a w 4 0 or 2w t r 4 8. p n h Chapter 45 Glencoe Algebra 2

7 NAME DATE PERID 2- Skills Practice Relations and Functions Determine whether each relation is a function. Write es or no.. Domain Range 2. Domain Range Graph each relation or equation and find the domain and range. Net determine if the relation is discrete or continuous. Then determine whether the relation or equation is a function. 5. {(2, 3), (2, 4), (2, )} 6. {(2, 6), (6, 2)} 7. {( 3, 4), ( 2, 4), (, ), (3, )} 8. 2 Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Find each value if f() 2 and g() f(0) 0. f(2). g(4) 2. f( 2) 3. g( ) 4. f(d) Chapter 2 8 Glencoe Algebra 2

8 2-2 NAME DATE PERID Skills Practice Linear Equations State whether each equation or function is linear. Write es or no. If no, eplain our reasoning f() g() 8 8. h() 3 Write each equation in standard form. Identif A, B, and C Lesson 2-2 Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc Find the -intercept and the -intercept of the graph of each equation. Then graph the equation Chapter 2 5 Glencoe Algebra 2

9 NAME DATE PERID 2-3 Skills Practice Slope Find the slope of the line that passes through each pair of points.. (, 5), (, 3) 2. (0, 2), (3, 0) 3. (, 9), (0, 6) 4. (8, 5), (4, 2) 5. ( 3, 5), ( 3, ) 6. ( 2, 2), (0, 2) 7. (4, 5), (2, 7) 8. ( 2, 4), (3, 2) 9. (5, 2), ( 3, 2) Graph the line passing through the given point with the given slope. 0. (0, 4), m. (2, 4), m 2. ( 3, 5), m 2 3. ( 2, ), m 2 Graph the line that satisfies each set of conditions. 4. passes through (0, ), perpendicular to 5. passes through (0, 5), parallel to the a line whose slope is 3 graph of Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 6. HIKING Naomi left from an elevation of 7400 feet at 7:00 A.M. and hiked to an elevation of 9800 feet b :00 A.M. What was her rate of change in altitude? Chapter 2 22 Glencoe Algebra 2

10 NAME DATE PERID 2-4 Skills Practice Writing Linear Equations State the slope and -intercept of the graph of each equation Write an equation in slope-intercept form for each graph (, 2) (0, 3) ( 3, ) (4, ) Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. (, 4) Write an equation in slope-intercept form for the line that satisfies each set of conditions. 2. slope 3, passes through (, 3) 3. slope, passes through (0, 0) 4. slope 2, passes through (0, 5) 5. slope 3, passes through (2, 0) 6. passes through (, 2) and ( 3, ) 7. passes through ( 2, 4) and (, 8) (3, 3) Lesson intercept 2, -intercept intercept, -intercept passes through (3, ), perpendicular to the graph of 4. 3 Chapter 2 29 Glencoe Algebra 2

11 2-5 NAME DATE PERID Skills Practice Modeling Real-World Data: Using Scatter Plots For Eercises 3, complete parts a c for each set of data. a. Draw a scatter plot. b. Use two ordered pairs to write a prediction equation. c. Use our prediction equation to predict the missing value ? Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc ? ? Lesson 2-5 Chapter 2 37 Glencoe Algebra 2

12 NAME DATE PERID 2-6 Skills Practice Special Functions Identif each function as S for step, C for constant, A for absolute value, or P for piecewise Graph each function. Identif the domain and range. 4. f() 5. f() 3 f() f() 6. g() 2 7. f() g() f() 8. f() if 0 9. h() 3 if 2 if 0 if > f() h() Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 2 44 Glencoe Algebra 2

13 NAME DATE PERID 2-7 Skills Practice Graphing Inequalities Graph each inequalit Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 2 52 Glencoe Algebra 2

14 NAME DATE PERID 3- Skills Practice Solving Sstems of Equations B Graphing Solve each sstem of equations b graphing Graph each sstem of equations and describe it as consistent and independent, consistent and dependent, or inconsistent Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 2 2 Chapter 3 8 Glencoe Algebra 2

15 3-2 NAME DATE PERID Skills Practice Solving Sstems of Equations Algebraicall Solve each sstem of equations b using substitution.. m n w z m n w 3z r s b 3c r s 5 b c Solve each sstem of equations b using elimination. 7. 2p q j k c 2d 2 3p q 8 3j k 2 3c 4d f 3g f g Solve each sstem of equations b using either substitution or elimination. 3. r t r t p 3q w 8z 6 8. c d 6 2p 3q 6 3w 4z 8 c d u 4v a b u 2v 3 3a b z c 2d r 2s 3 z 6 2c 5d 3 2r 3s The sum of two numbers is 2. The difference of the same two numbers is 4. Find the numbers. Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 26. Twice a number minus a second number is. Twice the second number added to three times the first number is 9. Find the two numbers. Chapter 3 6 Glencoe Algebra 2

16 NAME DATE PERID 3-3 Skills Practice Solving Sstems of Inequalities b Graphing Solve each sstem of inequalities b graphing Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc Find the coordinates of the vertices of the figure formed b each sstem of inequalities. Lesson Chapter 3 23 Glencoe Algebra 2

17 3-4 Graph each sstem of inequalities. Name the coordinates of the vertices of the feasible region. Find the maimum and minimum values of the given function for this region f(, ) f(, ) 3 f(, ) NAME DATE PERID Skills Practice Linear Programming f(, ) f(, ) 4 3 f(, ) MANUFACTURING A backpack manufacturer produces an internal frame pack and an eternal frame pack. Let represent the number of internal frame packs produced in one hour and let represent the number of eternal frame packs produced in one hour. Then the inequalities 3 8, 2 6, 0, and 0 describe the constraints for manufacturing both packs. Use the profit function f() and the constraints given to determine the maimum profit for manufacturing both backpacks for the given constraints. Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 3 30 Glencoe Algebra 2

18 3-5 NAME DATE PERID Skills Practice Solving Sstems of Equations in Three Variables Solve each sstem of equations.. 2a c 0 2. z 3 b c 5 3 2z 2 a 2b c 5 5z z z z 0 z 4 z z z z 2 6 2z 2 2 3z z r 2t 3 0 4r s 2t 6 3 2z 2 r s 4t z m 3n p z 6 3m 2n 0 5z 3 2m n 3p z z z 4 3 2z 3 z 3 z z z 2 z 2 4 2z z z z z 0 z 3 2 5z z z z z 3 3 z 0 2 z 6 z z 3 Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 9. The sum of three numbers is 8. The sum of the first and second numbers is 5, and the first number is 3 times the third number. Find the numbers. Chapter 3 38 Glencoe Algebra 2

19 NAME DATE PERID 4- Skills Practice Introduction to Matrices State the dimensions of each matri [0 5] Solve each equation. 7. [5 3] [5 2] 8. [3 2] [7] [2 8 z] [0 6 ] z z 9 8z 4z Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc Chapter 4 8 Glencoe Algebra 2

20 4-2 NAME DATE PERID Skills Practice perations with Matrices Perform the indicated matri operations. If the matri does not eist, write impossible.. [5 4] [4 5] [3 6] [9 4 3] 6. [6 3] 4[4 7] Lesson 4-2 Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Use A 3 4 2, B 2 3 2, and C to find the following.. A B 2. B C 3. B A 4. A B C 5. 3B 6. 5C 7. A 4C 8. 2B 3A Chapter 4 5 Glencoe Algebra 2

21 4-3 NAME DATE PERID Skills Practice Multipling Matrices Determine whether each matri product is defined. If so, state the dimensions of the product.. A 2 5 B 5 2. M 3 N B 3 2 A R 4 4 S 4 5. X 3 3 Y A 6 4 B 4 5 Find each product, if possible [3 2] [ 3 4] [2 3 2] Use A 2, B 3 2, C , and scalar c 2 to determine whether the following equations are true for the given matrices. 3 0 Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 7. (AC)c A(Cc) 8. AB BA 9. B(A C) AB BC 20. (A B)c Ac Bc Chapter 4 22 Glencoe Algebra 2

22 4-4 NAME DATE PERID Skills Practice Transformations with Matrices For Eercises 3, use the following information. Triangle ABC with vertices A(2, 3), B(0, 4), and C( 3, 3) is translated 3 units right and unit down.. Write the translation matri. 2. Find the coordinates of A B C. 3. Graph the preimage and the image. For Eercises 4 6, use the following information. The vertices of RST are R( 3, ), S(2, ), and T(, 3). The triangle is dilated so that its perimeter is twice the original perimeter. 4. Write the coordinates of RST in a verte matri. 5. Find the coordinates of the image R S T. 6. Graph RST and R S T. For Eercises 7 0, use the following information. Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. The vertices of DEF are D(4, 0), E(0, ), and F(2, 3). The triangle is reflected over the -ais. 7. Write the coordinates of DEF in a verte matri. 8. Write the reflection matri for this situation. 9. Find the coordinates of D E F. 0. Graph DEF and D E F. For Eercises 4, use the following information. Triangle XYZ with vertices X(, 3), Y( 4, ), and Z( 2, 5) is rotated 80º counterclockwise about the origin.. Write the coordinates of the triangle in a verte matri. Lesson Write the rotation matri for this situation. 3. Find the coordinates of X Y Z. 4. Graph the preimage and the image. Chapter 4 29 Glencoe Algebra 2

23 NAME DATE PERID 4-5 Skills Practice Determinants Find the value of each determinant Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc Evaluate each determinant using epansion b minors Evaluate each determinant using diagonals Lesson 4-5 Chapter 4 37 Glencoe Algebra 2

24 4-6 NAME DATE PERID Skills Practice Cramer s Rule Use Cramer s Rule to solve each sstem of equations.. 2a 3b a b m 3n m 3n Lesson r s r 2s g 5h g 3h p 6q p 3q Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 3. 5c 3d t 2v 2 2c 9d 2 2t 3v a 2b w 8z 83 3a 4b 9w 4z 0 7. GEMETRY The two sides of an angle are contained in the lines whose equations are and 3 5. Find the coordinates of the verte of the angle. Use Cramer s Rule to solve each sstem of equations. 8. a b 5c z 5 3a b 2c z 2 4a 2b c 3 2 3z c 5d 2e 4 2. r 4s t 6 2c 3d 4c 3 2r s 3t 0 4c 2d 3e 0 3r 2s t 4 Chapter 4 45 Glencoe Algebra 2

25 NAME DATE PERID 4-7 Skills Practice Identit and Inverse Matrices Determine whether each pair of matrices are inverses X, Y 2. P, Q M 0 3, N A 2, B V 7 0, W 6. X 2, Y G, H 8. D 4 4, E Find the inverse of each matri, if it eists Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc Chapter 4 52 Glencoe Algebra 2

26 4-8 NAME DATE PERID Skills Practice Using Matrices to Solve Sstems of Equations Write a matri equation for each sstem of equations a 8b 6 2 4a 3b 3 3. m 3n c 3d 6 4m 3n 6 3c 4d 7 5. r s r 3s z 4 8. a b c z 0 3a 2b c 0 z 3 2a 3b 8 Lesson 4-8 Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Solve each matri equation or sstem of equations b using inverse matrices. 3 w z a 7 3 m 5. 3 b n c m d n 2 5. p 3q p 3q m 2n a b 9 6m 4n 8 5a 2b 4 Chapter 4 59 Glencoe Algebra 2

27 NAME DATE PERID 5- Skills Practice Graphing Quadratic Functions For each quadratic function, find the -intercept, the equation of the ais of smmetr, and the -coordinate of the verte.. f() f() 2 3. f() f() f() f() Complete parts a c for each quadratic function. a. Find the -intercept, the equation of the ais of smmetr, and the -coordinate of the verte. b. Make a table of values that includes the verte. c. Use this information to graph the function. 7. f() f() f() f() Determine whether each function has a maimum or a minimum value, and find the maimum or minimum value. Then state the domain and range of the function. 0. f() 6 2. f() f() f() 3. f() f() f() f() Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 6. f() f() f() Chapter 5 8 Glencoe Algebra 2

28 NAME DATE PERID 5-2 Skills Practice Solving Quadratic Equations B Graphing Use the related graph of each equation to determine its solutions f() f() f() f() f() f() Solve each equation b graphing. If eact roots cannot be found, state the consecutive integers between which the roots are located f() f() f() Lesson 5-2 Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Use a quadratic equation to find two real numbers that satisf each situation, or show that no such numbers eist. 7. Their sum is 4, and their product is Their sum is 0, and their product is 36. f() f() Chapter 5 5 Glencoe Algebra 2

29 5-3 NAME DATE PERID Skills Practice Solving Quadratic Equations b Factoring Write a quadratic equation with the given roots. Write the equation in standard form.., , , , , 3 6., Factor each polnomial. 7. m 2 7m z 2 4z p 2 4p c 2 00 Solve each equation b factoring Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc NUMBER THERY Find two consecutive integers whose product is 272. Chapter 5 22 Glencoe Algebra 2

30 NAME DATE PERID 5-4 Skills Practice Comple Numbers Simplif (3i)( 2i)(5i) 8. i 9. i (7 8i) ( 2 4i). ( 3 5i) (8 7i) 2. (0 4i) (7 3i) 3. (7 6i)(2 3i) 4. (3 4i)(3 4i) 8 6i 3i i 4 2i Solve each equation Find the values of m and n that make each equation true. Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc i 5m 4ni 24. m 6i 3 2ni 25. (4 m) 2ni 9 4i 26. (3 n) (7m 4)i 7i Chapter 5 30 Glencoe Algebra 2

31 NAME DATE PERID 5-5 Skills Practice Completing the Square Solve each equation b using the Square Root Propert Find the value of c that makes each trinomial a perfect square. Then write the trinomial as a perfect square c c Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc c c c 4. 2 c Solve each equation b completing the square Lesson 5-5 Chapter 5 37 Glencoe Algebra 2

32 5-6 NAME DATE PERID Skills Practice The Quadratic Formula and the Discriminant Complete parts a c for each quadratic equation. a. Find the value of the discriminant. b. Describe the number and tpe of roots. c. Find the eact solutions b using the Quadratic Formula Solve each equation b using the method of our choice. Find eact solutions Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc PARACHUTING Ignoring wind resistance, the distance d(t) in feet that a parachutist falls in t seconds can be estimated using the formula d(t) 6t 2. If a parachutist jumps from an airplane and falls for 00 feet before opening her parachute, how man seconds pass before she opens the parachute? Chapter 5 44 Glencoe Algebra 2

33 5-7 NAME DATE PERID Skills Practice Analzing Graphs of Quadratic Functions Write each quadratic function in verte form, if not alread in that form. Then identif the verte, ais of smmetr, and direction of opening.. ( 2) ( 5) ( 2) Graph each function. 0. ( 3) 2. ( ) ( 4) ( 2) Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Write an equation for the parabola with the given verte that passes through the given point. 6. verte: (4, 36) 7. verte: (3, ) 8. verte: ( 2, 2) point: (0, 20) point: (2, 0) point: (, 3) Chapter 5 52 Glencoe Algebra 2

34 NAME DATE PERID 5-8 Skills Practice Graphing and Solving Quadratic Inequalities Graph each inequalit Use the graph of its related function to write the solutions of each inequalit Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 6 2 Solve each inequalit algebraicall Lesson Chapter 5 59 Glencoe Algebra 2

35 6- NAME DATE PERID Skills Practice Properties of Eponents Simplif. Assume that no variable equals 0.. b 4 b 3 2. c 5 c 2 c 2 3. a 4 a (g 4 ) 2 6. (3u) 3 7. ( ) (2z) 3 9. ( 3d) 4 0. ( 2t 2 ) 3. ( r 7 ) 3 2. s 5 s 2 k ( 3f 3 g) 3 k 0 5. (2) 2 (4) gh( g 3 h 5 ) (0 8 ) 8. Epress each number in scientific notation. 24wz 7 3w 3 z 5 6a 0pq 9. 4 bc r 8 36a 7 b 2 c 5p 3 q 2 r 2. 53, ,00, Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Evaluate. Epress the result in scientific notation. 25. (4 0 3 )( ) Chapter 6 8 Glencoe Algebra 2

36 6-2 NAME DATE PERID Skills Practice perations with Polnomials Determine whether each epression is a polnomial. If it is a polnomial, state the degree of the polnomial.. 2 b c 3. 8z d 4 2 Simplif. 4. (g 5) (2g 7) 5. (5d 5) (d ) 6. ( 2 3 3) ( ) 7. ( 2f 2 3f 5) ( 2f 2 3f 8) 8. (4r 2 6r 2) ( r 2 3r 5) 9. (2 2 3) ( ) 0. (5t 7) (2t 2 3t 2). (u 4) (6 3u 2 4u) Lesson 6-2 Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 2. 5(2c 2 d 2 ) 3. 2 (2 9) 4. 2q(3pq 4q 4 ) 5. 8w(hk 2 0h 3 m 4 6k 5 w 3 ) 6. m 2 n 3 ( 4m 2 n 2 2mnp 7) 7. 3s 2 ( 2s 4 2 3s 3 4) 8. (c 2)(c 8) 9. (z 7)(z 4) 20. (a 5) 2 2. (2 3)(3 5) 22. (r 2s)(r 2s) 23. (3 4)(2 3) 24. (3 2b)(3 2b) 25. (3w ) 2 Chapter 6 5 Glencoe Algebra 2

37 6-3 NAME DATE PERID Skills Practice Dividing Polnomials Simplif. 0c (5q 6 5q 2 )(5q 4 ) 6. (4f 5 6f 4 2f 3 8f 2 )(4f 2 ) 7. (6j 2 k 9jk 2 ) 3jk 8. (4a 2 h 2 8a 3 h 3a 4 ) (2a 2 ) 9. (n 2 7n 0) (n 5) 0. (d 2 4d 3) (d ). (2s 2 3s 5) (s 5) 2. (6 2 2)(2 ) 3. (4g 2 9) (2g 3) 4. ( ) ( 3) u u u (3v 2 7v 0)(v 4) 8. (3t 4 4t 3 32t 2 5t 20)(t 4) Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 2. (4p 3 3p 2 2p) ( p ) 22. (3c 4 6c 3 2c 4)(c 2) 23. GEMETRY The area of a rectangle is square units. The width of the rectangle is 4 units. What is the length of the rectangle? Chapter 6 22 Glencoe Algebra 2

38 6-4 NAME DATE PERID Skills Practice Polnomial Functions State the degree and leading coefficient of each polnomial in one variable. If it is not a polnomial in one variable, eplain wh.. a 8 2. (2 )(4 2 3) u 3 4u 2 v 2 v r r 2 r 2 Find p( ) and p(2) for each function. 7. p() p() p() p() p() p() Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. If p() and r() 3, find each value. 3. p(a) 4. r(2a) 5. 3r(a) 6. 4p(a) 7. p(a 2 ) 8. r( 2) For each graph, a. describe the end behavior, b. determine whether it represents an odd-degree or an even-degree polnomial function, and c. state the number of real zeroes f() f() f() Lesson 6-4 Chapter 6 29 Glencoe Algebra 2

39 6-5 NAME DATE PERID Skills Practice Analze Graphs of Polnomial Functions Complete each of the following. a. Graph each function b making a table of values. b. Determine consecutive values of between which each real zero is located. c. Estimate the -coordinates at which the relative maima and minima occur.. f() f() 3 3 f() f() f() f() f() f() f() f() f() f() f() f() f() f() f() f() Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc Chapter 6 36 Glencoe Algebra 2

40 NAME DATE PERID 6-6 Skills Practice Solving Polnomial Equations Factor completel. If the polnomial is not factorable, write prime j 3 k 4jk 3 7 Lesson a 2 7a ak 6a k 3 7. b 2 8b 7 8. z 2 8z f d 2 2d Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 3. n m 4 Write each epression in quadratic form, if possible a 6 a b 5 3b 3 Solve each equation. 2. a 3 9a 2 4a t 4 3t 3 40t b 3 8b 2 6b 0 Chapter 6 43 Glencoe Algebra 2

41 NAME DATE PERID 6-7 Skills Practice The Remainder and Factor Theorems Use snthetic substitution to find f(2) and f( ) for each function.. f() f() 2 3. f() f() f() f() f() f() f() f() f() f() Given a polnomial and one of its factors, find the remaining factors of the polnomial. Some factors ma not be binomials ; ; ; ; ; ; ; ; ; ; 2 Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc ; ; 3 2 Chapter 6 50 Glencoe Algebra 2

42 NAME DATE PERID 6-8 Skills Practice Roots and Zeros Solve each equation. State the number and tpe of roots State the possible number of positive real zeros, negative real zeros, and imaginar zeros of each function. 7. g() h() f() p() q() f() Lesson 6-8 Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Find all the zeros of each function. 3. h() g() h() q() g() f() Write a polnomial function of least degree with integral coefficients that has the given zeros. 9. 3, 5, 20. 3i 2. 5 i 22., 3, i, 5i 24.,, i 6 Chapter 6 57 Glencoe Algebra 2

43 NAME DATE PERID 6-9 Skills Practice Rational Zero Theorem List all of the possible rational zeros of each function.. n() h() w() f() q() g() Find all of the rational zeros of each function. 7. f() g() p() z() h() g() g() h() p() q() q() f() p() n() Find all of the zeros of each function. Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 2. f() q() m() g() Chapter 6 64 Glencoe Algebra 2

44 NAME DATE PERID 7- Skills Practice perations on Functions Find (f g)(), (f g)(), (f g)(), and () for each f() and g(). f g. f() 5 2. f() 3 g() 4 g() f() 2 4. f() 3 2 g() 4 g() 5 For each set of ordered pairs, find f g and g f if the eist. 5. f {(0, 0), (4, 2)} 6. f {(0, 3), (, 2), (2, 2)} g {(0, 4), ( 2, 0), (5, 0)} g {( 3, ), (2, 0)} 7. f {( 4, 3), (, ), (2, 2)} 8. f {(6, 6), ( 3, 3), (, 3)} g {(, 4), (2, ), (3, )} g {( 3, 6), (3, 6), (6, 3)} Find [g h]() and [h g](). 9. g() 2 0. g() 3 h() 2 h() 4. g() 6 2. g() 3 h() 6 h() 2 3. g() 5 4. g() 2 h() 2 h() If f() 3, g() 4, and h() 2, find each value. Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 5. f[ g()] 6. g[h(0)] 7. g[f( )] 8. h[f(5)] 9. g[h( 3)] 20. h[f(0)] 2. f[h(8)] 22. [f (h g)]() 23. [f ( g h)]( 2) Chapter 7 8 Glencoe Algebra 2

45 NAME DATE PERID 7-2 Skills Practice Inverse Functions and Relations Find the inverse of each relation.. {(3, ), (4, 3), (8, 3)} 2. {( 7, ), (0, 5), (5, )} 3. {( 0, 2), ( 7, 6), ( 4, 2), ( 4, 0)} 4. {(0, 9), (5, 3), (6, 6), (8, 3)} 5. {( 4, 2), (0, 7), (9, ), (0, 5)} 6. {( 4, ), ( 4, 3), (0, 8), (8, 9)} Find the inverse of each function. Then graph the function and its inverse f() 3 9. f() 2 f() f() 0. g() 2. h() g() Determine whether each pair of functions are inverse functions. h() Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 3. f() 4. f() f() 5 5 g() g() 2 ( 3) g() 5 6. f() 2 7. h() f() 8 0 g() 2 g() 6 3 g() Chapter 7 6 Glencoe Algebra 2

46 NAME DATE PERID 7-3 Skills Practice Square Root Functions and Inequalities Graph each function. State the domain and range of each function Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Graph each inequalit Lesson 7-3 Chapter 7 23 Glencoe Algebra 2

47 NAME DATE PERID 7-4 Skills Practice nth Roots Use a calculator to approimate each value to three decimal places Simplif ( 5) s a m 8 n 4 Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc p q w 4 v ( 3c) (a ) b 2 Chapter 7 30 Glencoe Algebra 2

48 NAME DATE PERID 7-5 Skills Practice perations with Radical Epressions Simplif a 4 b d 2 f 5 8. s 2 t Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc g 5z 2. (3 3 )(5 3 ) 3. (4 2 )(3 20 ) (2 3 )(6 2 ) 9. ( 5 )( 5 ) 20. (3 7 )(5 2 ) 2. ( 2 6 ) Lesson 7-5 Chapter 7 37 Glencoe Algebra 2

49 NAME DATE PERID 7-6 Skills Practice Rational Eponents Write each epression in radical form (s 3 ) 3 5 Write each radical using rational eponents Evaluate each epression ( 243) Simplif each epression. 7. c 2 5 c m 2 9 m q p Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc n 3 n 6 n a 8 b 2 Chapter 7 44 Glencoe Algebra 2

50 NAME DATE PERID 7-7 Skills Practice Solving Radical Equations and Inequalities Solve each equation or inequalit j 4. v w 4 7. b n r p 7 6. k (2d 3) (t 3) ( 7u) z 2 z 4 6. g 2g s a r Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc r 3 5 Chapter 7 52 Glencoe Algebra 2

51 8- NAME DATE PERID Skills Practice Multipling and Dividing Rational Epressions Simplif each epression. 2 5ab a 2 b 2 ( ) 4. 2 ( 6 ) 3 3 ( 3 ) ( 2)( ) 3a a 3m n a 2 2a 2n 6 24e 0(ef) s s f 2 8e 5 f s 2 4 0s 5 7g. 2g z 5 v 7 4z 2 v q q q q 3q 2 w w 24 w 2t 2 2 6w 7 t t 84 w w 3 4t 4 t 2 9t (3 2 6a 4a 5 3) a a 2 0a 8 a 2 8a 6 Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 2 c 2 d2 c6 5 d a2 4a a b 2 a b 2 Chapter 8 8 Glencoe Algebra 2

52 NAME DATE PERID 8-2 Skills Practice Adding and Subtracting Rational Epressions Find the LCM of each set of polnomials.. 2c, 6c 2 d 2. 8a 3 bc 2,24b 2 c , a, a 5. t 2 25, t , Simplif each epression p 2 q 4p 2 q 2c m 2 n n z 4gh 4h 2 Lesson 8-2 Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc a 2 2a 3b d 3bd 3 2 3t w 3 w m m 4z z m n n m z 4 z n 2n n 3 n 2 2n Chapter 8 5 Glencoe Algebra 2

53 8-3 NAME DATE PERID Skills Practice Graphing Rational Functions Determine the equations of an vertical asmptotes and the values of for an holes in the graph of each rational function f() 2. f() f() 4. f() f() f() Graph each rational function f() 8. f() 9. f() 2 0. f(). f() 2. f() f() f() 2 f() 2 f() f() f() Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 8 22 Glencoe Algebra 2

54 8-4 NAME DATE PERID Skills Practice Direct, Joint, and Inverse Variation State whether each equation represents a direct, joint, or inverse variation. Then name the constant of variation. 4. c 2m 2. p 3. A bh q 2 4. rw rst 6. f 5280m s 8. vz t 6rh 8 a 0. R. 2. C 2 r w b 3 Find each value. 3. If varies directl as and 35 when 7, find when. 4. If varies directl as and 360 when 80, find when If varies directl as and 540 when 0, find when If varies directl as and 2 when 72, find when If varies jointl as and z and 8 when 2 and z 3, find when 5 and z If varies jointl as and z and 6 when 4 and z 2, find when and z If varies jointl as and z and 20 when 4 and z 6, find when 3 and z If varies inversel as and 2 when 2, find when. 2. If varies inversel as and 6 when 5, find when If varies inversel as and 3 when 4, find when 6. Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 23. If varies inversel as and 27 when 2, find when If varies directl as and 5 when 5, find when 36. Chapter 8 30 Glencoe Algebra 2

55 NAME DATE PERID 8-5 Skills Practice Classes of Functions Identif the tpe of function represented b each graph Match each graph with an equation below. A. B. C. D Identif the tpe of function represented b each equation. Then graph the equation Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 8 38 Glencoe Algebra 2

56 8-6 NAME DATE PERID Skills Practice Solving Rational Equations and Inequalities Solve each equation or inequalit. Check our solutions n z 3 2 z Lesson s d d 2 5 s k 3k n v v n n Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc m m b 2 b b b 5 2q 4 8z q q z z n 3 n 2 9 n 3 w 2 w 2 w s s 2 7s 2 s 3 s 4 2e e 2 4 e 2 e 2 t 2 9 t 3 t 3 Chapter 8 45 Glencoe Algebra 2

57 NAME DATE PERID 9- Skills Practice Eponential Functions Sketch the graph of each function. Then state the function s domain and range.. 3(2) Determine whether each function represents eponential growth or deca. 3. 3(6) (2.5) 0 Write an eponential function whose graph passes through the given points. 7. (0, ) and (, 3) 8. (0, 4) and (, 2) 9. (0, 3) and (, 6) 0. (0, 5) and (, 5). (0, 0.) and (, 0.5) 2. (0, 0.2) and (,.6) Simplif each epression. 3. (3 3 ) 3 4. ( 2 ) Solve each equation or inequalit. Check our solution Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc Chapter 9 8 Glencoe Algebra 2

58 NAME DATE PERID 9-2 Skills Practice Logarithms and Logarithmic Functions Write each equation in logarithmic form Write each equation in eponential form. 5. log log log log Evaluate each epression. 9. log log 9 3. log log log 4 4. log log log 27 Solve each equation or inequalit. Check our solutions. 7. log log log log log 2 n log b Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 23. log 6 (4 2) log 2 (4 4) log 3 ( 2) log 3 (3) 26. log 6 (3 5) log 6 (2 3) Chapter 9 6 Glencoe Algebra 2

59 9-3 NAME DATE PERID Skills Practice Properties of Logarithms Use log and log to approimate the value of each epression.. log log log 2 4. log log log log log log 2 0. log Solve each equation. Check our solutions.. log log log log 7 b Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 3. log 4 5 log 4 log log 6 2c log 6 8 log log 5 log 5 8 log 5 6. log 2 q log 2 3 log log log 9 5 log 9 w 8. 3 log 8 2 log 8 4 log 8 b 9. log 0 log 0 (3 5) log log 4 log 4 (2 3) log log 3 d log log 0 log 0 (2 ) 0 Lesson log 2 s 2 log log 2 ( 4) log 2 ( 3) log 4 (n ) log 4 (n 2) 26. log 5 0 log log 5 2 log 5 a Chapter 9 23 Glencoe Algebra 2

60 NAME DATE PERID 9-4 Skills Practice Common Logarithms Use a calculator to evaluate each epression to four decimal places.. log 6 2. log 5 3. log. 4. log 0.3 Use the formula ph log[h ] to find the ph of each substance given its concentration of hdrogen ions. 5. gastric juices: [H ].0 0 mole per liter 6. tomato juice: [H ] mole per liter 7. blood: [H ] mole per liter 8. toothpaste: [H ] mole per liter Solve each equation or inequalit. Round to four decimal places v 4. 8 p b k p m r d t Epress each logarithm in terms of common logarithms. Then approimate its value to four decimal places. Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 23. log log log log 6 0 Chapter 9 30 Glencoe Algebra 2

61 NAME DATE PERID 9-5 Skills Practice Base e and Natural Logarithms Use a calculator to evaluate each epression to four decimal places.. e 3 2. e 2 3. ln 2 4. ln 0.09 Write an equivalent eponential or logarithmic equation. 5. e 3 6. e ln 5 8. ln Evaluate each epression. 9. e ln 3 0. eln 2. ln e ln e Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Solve each equation or inequalit. 3. e 5 4. e e 6. 5e e e e e ln ln ln ( 2) ln ( 3) 25. ln ( 3) ln ln 2 2 Lesson 9-5 Chapter 9 37 Glencoe Algebra 2

62 NAME DATE PERID 9-6 Skills Practice Eponential Growth and Deca. FISHING In an over-fished area, the catch of a certain fish is decreasing at an average rate of 8% per ear. If this decline persists, how long will it take for the catch to reach half of the amount before the decline? 2. INVESTING Ale invests $2000 in an account that has a 6% annual rate of growth. To the nearest ear, when will the investment be worth $3600? 3. PPULATIN A current census shows that the population of a cit is 3.5 million. Using the formula P ae rt, find the epected population of the cit in 30 ears if the growth rate r of the population is.5% per ear, a represents the current population in millions, and t represents the time in ears. 4. PPULATIN The population P in thousands of a cit can be modeled b the equation P 80e 0.05t, where t is the time in ears. In how man ears will the population of the cit be 20,000? 5. BACTERIA How man das will it take a culture of bacteria to increase from 2000 to 50,000 if the growth rate per da is 93.2%? 6. NUCLEAR PWER The element plutonium-239 is highl radioactive. Nuclear reactors can produce and also use this element. The heat that plutonium-239 emits has helped to power equipment on the moon. If the half-life of plutonium-239 is 24,360 ears, what is the value of k for this element? 7. DEPRECIATIN A Global Positioning Satellite (GPS) sstem uses satellite information to locate ground position. Abu s surveing firm bought a GPS sstem for $2,500. The GPS depreciated b a fied rate of 6% and is now worth $8600. How long ago did Abu bu the GPS sstem? Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 8. BILGY In a laborator, an organism grows from 00 to 250 in 8 hours. What is the hourl growth rate in the growth formula a( r) t? Chapter 9 44 Glencoe Algebra 2

63 NAME DATE PERID 0- Skills Practice Midpoint and Distance Formulas Find the midpoint of each line segment with endpoints at the given coordinates.. (4, ), ( 4, ) 2. (, 4), (5, 2) 3. (3, 4), (5, 4) 4. (6, 2), (2, ) 5. (3, 9), ( 2, 3) 6. ( 3, 5), ( 3, 8) 7. (3, 2), ( 5, 0) 8. (3, 4), (5, 2) 9. ( 5, 9), (5, 4) 0. (, 4), (0, 4). (3, 6), ( 8, 3) 2. (0, 0), ( 2, 5) Find the distance between each pair of points with the given coordinates. 3. (4, 2), (, 0) 4. (7, 7), ( 5, 2) 5. (, 4), (, 4) 6. (, ), (8, 5) 7. (, 6), (7, 2) 8. (3, 5), (3, 4) 9. (2, 3), (3, 5) 20. ( 4, 3), (, 7) 2. ( 5, 5), (3, 0) 22. (3, 9), ( 2, 3) 23. (6, 2), (, 3) 24. ( 4, ), (2, 4) Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 25. (0, 3), (4, ) 26. ( 5, 6), (2, 0) Chapter 0 8 Glencoe Algebra 2

64 NAME DATE PERID 0-2 Skills Practice Parabolas Write each equation in standard form Identif the coordinates of the verte and focus, the equations of the ais of smmetr and directri, and the direction of opening of the parabola with the given equation. Then find the length of the latus rectum and graph the parabola. 4. ( 2) 2 5. ( 2) ( 3) 2 4 Lesson 0-2 Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Write an equation for each parabola described below. Then draw the graph. 7. verte (0, 0), 8. verte (5, ), 9. verte (, 3), focus 0, focus 5 7 5, directri Chapter 0 5 Glencoe Algebra 2

65 NAME DATE PERID 0-3 Skills Practice Circles Write an equation for the circle that satisfies each set of conditions.. center (0, 5), radius unit 2. center (5, 2), radius 8 units 3. center (4, 0), radius 2 units 4. center (2, 2), radius 3 units 5. center (4, 4), radius 4 units 6. center ( 6, 4), radius 5 units 7. endpoints of a diameter at ( 2, 0) and (2, 0) 8. endpoints of a diameter at ( 4, 0) and ( 4, 6) 9. center at (7, 3), passes through the origin 0. center at ( 4, 4), passes through ( 4, ). center at ( 6, 5), tangent to -ais 2. center at (5, ), tangent to -ais Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Find the center and radius of the circle with the given equation. Then graph the circle ( ) 2 ( 2) ( ) ( 3) ( 5) 2 ( 8) Lesson 0-3 Chapter 0 23 Glencoe Algebra 2

66 NAME DATE PERID 0-4 Skills Practice Ellipses Write an equation for each ellipse (0, 5) (0, 5) ( 3, 0) (0, 2) (0, 2) (3, 0) (0, 3) (0, 3) ( 4, 2) (4, 2) (0, ) (0, 5) Write an equation for the ellipse that satisfies each set of conditions. 4. endpoints of major ais 5. endpoints of major ais 6. endpoints of major ais at (0, 6) and (0, 6), at (2, 6) and (8, 6), at (7, 3) and (7, 9), endpoints of minor ais endpoints of minor ais endpoints of minor ais at ( 3, 0) and (3, 0) at (5, 4) and (5, 8) at (5, 6) and (9, 6) Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 7. major ais 2 units long 8. endpoints of major ais 9. endpoints of major ais at and parallel to -ais, at ( 6, 0) and (6, 0), foci (0, 2) and (0, 2), foci at minor ais 4 units long, at ( 32, 0) and ( 32, 0) (0, 23 ) and (0, 23 ) center at (0, 0) Find the coordinates of the center and foci and the lengths of the major and minor aes for the ellipse with the given equation. Then graph the ellipse Lesson Chapter 0 3 Glencoe Algebra 2

67 NAME DATE PERID 0-5 Skills Practice Hperbolas Write an equation for each hperbola ( 5, 0) 4 (0, 6) 4 (0, 6) (5, 0) ( 4, 0) ( 4, 0) (0, 6) (0, 6) ( 2, 0) 8 4 ( 29, 0) 4 8 (2, 0) 4 8 ( 29, 0) Write an equation for the hperbola that satisfies each set of conditions. 4. vertices ( 4, 0) and (4, 0), conjugate ais of length 8 5. vertices (0, 6) and (0, 6), conjugate ais of length 4 6. vertices (0, 3) and (0, 3), conjugate ais of length 0 7. vertices ( 2, 0) and (2, 0), conjugate ais of length 4 8. vertices ( 3, 0) and (3, 0), foci ( 5, 0) 9. vertices (0, 2) and (0, 2), foci (0, 3) 0. vertices (0, 2) and (6, 2), foci (3 3, 2) Find the coordinates of the vertices and foci and the equations of the asmptotes for the hperbola with the given equation. Then graph the hperbola Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc Chapter 0 38 Glencoe Algebra 2

68 0-6 NAME DATE PERID Skills Practice Conic Sections Write each equation in standard form. State whether the graph of the equation is a parabola, circle, ellipse, or hperbola. Then graph the equation Lesson Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc Without writing the equation in standard form, state whether the graph of each equation is a parabola, circle, ellipse, or hperbola ( 3) 2 ( ) ( 5) Chapter 0 45 Glencoe Algebra 2

69 0-7 NAME DATE PERID Skills Practice Solving Quadratic Sstems Find the eact solution(s) of each sstem of equations ( 2) 2 4( 3) Solve each sstem of inequalities b graphing GARDENING An elliptical garden bed has a path from point A to point B. If the bed can be modeled b the equation and the path can be modeled b the line, what are the 3 coordinates of points A and B? 8 4 A B Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 0 52 Glencoe Algebra 2

70 NAME DATE PERID - Skills Practice Arithmetic Sequences Find the net four terms of each arithmetic sequence.. 7,, 5, 2. 0, 5, 0, 3. 0, 202, 303, 4. 5, 7,, 5. 67, 60, 53, 6. 2, 5, 8, Find the first five terms of each arithmetic sequence described. 7. a 6, d 9 8. a 27, d 4 9. a 2, d 5 0. a 93, d 5. a 64, d 2. a 47, d 20 Find the indicated term of each arithmetic sequence. 3. a 2, d 6, n 2 4. a 8, d 2, n 8 5. a 23, d 5, n a 5, d, n a 3 for 34, 38, 42, 8. a 42 for 27, 30, 33, Complete the statement for each arithmetic sequence is the? th term of 4, 7, 0, is the? th term of 5, 2, 9,. Write an equation for the nth term of each arithmetic sequence. 2. 4, 7, 0, 3, 22.,, 3, 5, 23., 3, 7,, 24. 7, 2, 3, 8, Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Find the arithmetic means in each sequence ,?,?,?, ,?,?,?, 47 Chapter 8 Glencoe Algebra 2