Algebra 1 Final Exam 4 B. 1, 2.5, 1 2, 0.75, 4 4, x 30. Name Period Score / 51pts.

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1 Algebra 1 Final Exam Name Period Score / 51pts Multiple Choice: 1 pt each 1 List the numbers from least to greatest: 075, 4, 25, 1 2, 1 A 1 2, 075, 25, 1, 4 B 1, 25, 1 2, 075, 4 C 25, 1, 1 2, 075, 4 D 1 2, 075, 1, 4, 25 2 Write a function for the given table x f (x) A f ( x) 5x 7 B f ( x) 2x 29 C f ( x) x 12 D f ( x) 2x 3 3 You are driving to visit a friend in another state who lives 440 miles away You have already driven 275 miles and are currently driving 55 mph Write an equation you could use to find how much longer, h (in hours), you will need to reach your destination A 220h 440 B 275h C h D h Solve the proportion: 5 6 x 30 C D 1 of 12

A 7 ft B 9 ft C 71 ft D 105 ft 6 Jamie is a waiter He waits on a table of 4 whose bill comes to $6998 If Jamie receives a 20%

2 5 An architect built a scale model of a shopping mall On the model, a circular fountain is 20 inches tall and 225 inches in diameter If the actual fountain is to be 8 feet tall, what is its diameter? A 7 ft B 9 ft C 71 ft D 105 ft 6 Jamie is a waiter He waits on a table of 4 whose bill comes to $6998 If Jamie receives a 20% tip, approximately how much will he receive? A $ 1400 B $ 1355 C $8400 D $350 7 Solve the inequality 2f 8 and graph the solutions 8 Solve the inequality and graph the solutions 2 of 12

3 9 The graph shows a linear relationship Find the slope A 4 5 B 2 3 C 3 2 D Kristi rides her bike to school and has an odometer that measures the distance traveled She subtracts this distance from the distance to the school and records the distance that remains between her and the school She recorded this data in a chart Use this data to find the x- and y- intercepts What do these intercepts represent? Time traveled (min) Distance remaining (ft) 0 5, , , , A x-intercept = 5000; y-intercept = 8 The x-intercept represents the initial distance Kristi has to travel to school The y-intercept represents the time traveled when Kristi arrived at school B x-intercept = 8; y-intercept = 5000 The x-intercept represents the time traveled when Kristi arrived at school The y-intercept represents the initial distance Kristi has to travel to school C x-intercept = 5000; y-intercept = 8 The x-intercept represents the time traveled when Kristi began her bike ride The y-intercept represents the distance remaining when Kristi arrived at school D x-intercept = 8; y-intercept = 5000 The x-intercept represents the time traveled when Kristi began her bike ride The y-intercept represents the distance remaining when Kristi arrived at school 3 of 12

4 11 Write an equation of the line that has a slope of ½ and passes through (4,-5) 12 Which graph represents the solution to the following system of equations? y y 2 O x O x (267, 2) 4 6 (1, 533) y y x O x O ( 1, 533) 6 ( 3, 8) of 12

5 13 Solve the following system of equations y = 2x + 3 y = 3x + 1 A ( 2, 1) B ( 1, 2) C (2, 7) D ( 2, 5) 14 Solve the following system of equations 6x + 3y = 12 6x + 2y = 4 A (10, 16) B (2, 8) C ( 2, 8) D ( 10, 16) 15 Solve the following system of equations 3x + y = 11 4x y = 17 A ( 1, 4) B (4, 1) C (5, 4) D (4, 1) 16 Casey orders 4 pizzas and 2 orders of breadsticks for a total of $38 Rachel orders 2 pizzas and 3 orders of breadsticks for a total of $23 How much does a pizza cost? A $850 B $2 C $5 D $8 17 Simplify: Cannot simplify 5 of 12

6 18 Simplify: 19 Simplify C 6 D Simplify 21 Write the number in scientific notation: 8,670,000, Write the number in scientific notation: Simplify the expression:( )( ) Write the answer using scientific notation 6 of 12

7 24 Simplify: ( ) 25 Which number is written in scientific notation? 26 Solve for z: A z = 3 or z = 9 B z = 3 or z = 9 C z = 3 or z = 9 D z = 3 or z = 9 27 Solve for x: A x = 3 or x = -1 B x = 3 or x = 1 C x = -3 or x = 4 D x = -3 or x = Find the GCF of and 29 Factor the trinomial: 7 of 12

8 30 Factor 31 The water level of a river is 34 feet and dropping at a rate of 05 foot per day Write an equation that represents the water level, w, after d days Identify the slope and y-intercept and describe their meanings In how many days will the water level be 26 feet? A B C D The slope is 34, and this is the rate at which the water level is receding The y-intercept is 05, and this is the water level after 0 days In 16 days, the water level will be 26 feet The slope is, and this is the rate at which the water level is receding The y-intercept is, and this is the water level after 0 days In 120 days, the water level will be 26 feet The slope is, and this is the rate at which the water level is receding The y-intercept is 34, and this is the water level after 0 days In 16 days, the water level will be 26 feet The slope is 34, and this is the rate at which the water level is receding The y-intercept is, and this is the water level after 0 days In 120 days, the water level will be 26 feet 32 Simplify: ( )( ) C + D 33 Simplify: 4g 3 h Find the degree of the monomial: 6 5 7m n A 5 B 11 C 6 D 7 8 of 12

9 35 Factor out the Greatest Common Factor: 14x 4 + 7x 3-21x 2 A 7x(2x 3 +x 2-3x) B x 2 (14x 2 +7x-21) C 2x 2 (7x 2 +7x 3-21x 2 ) D 7x 2 (2x 2 +x 3) Extended Response: Answer each question in the space provided and show work to support your solutions 36 The Math Club is holding a fundraising bake sale Each pastry is sold for $350 Their goal is to raise at least $14000 Write, solve and graph an inequality for this situation, using the space given below (4 pts) 9 of 12

10 37 Solve the following quadratic equation: Show all work (2 pts) 38 In the space provided below, graph and solve the following system of inequalities (4 pts) y 3x 4 y 1 2 x 2 10 of 12

system of equations to find the two numbers Show all work (2

11 39 The sum of two numbers is 82 Their difference is 24 Write a system of equations that describes this situation Solve this system of equations to find the two numbers Show all work (2 pts) 40 Use the figure below to find the value of x (4 pts) 11 of 12

Algebra I Semester Practice Final

Name: Algebra I Semester Practice Final 2016-17 Per: Please note: Absolutely no cell phones out during the test. You may borrow a calculator from the teacher, but you may not use a calculator another student