hapter 01 Test Name: ate: 1 Write an algebraic expression for the phrase the sum of g and 3. 3g 3g + 3 g 3 g + 3 2 Write a word phrase for. negative 5 minus 4 plus a number n negative 5 minus 4 times a number n 4 times a number n minus 5 5 minus 4 times a number n 3 Evaluate the expression 9(a + 2b) + c for a = 3, b = 2, and c = 1. 62 91 46 64 opyright 2005-2006 by Pearson Education Page 1 of 9
hapter 01 Test 4 rates of old vinyl records are stacked on top of each other on a desk. The table below shows how the height above the floor of the topmost crate depends on the number of crates. What is a rule for the height? Give the rule in words and as an algebraic expression. The height above the floor, in inches, of the stack of crates is the sum of 43 and 10 times the number of crates, n. n algebraic expression for this rule is 43(10 + n). The height above the floor, in inches, of the stack of crates is the product of 43 and 10 plus the number of crates, n. n algebraic expression for this rule is 43(10 + n). The height above the floor, in inches, of the stack of crates is the sum of 43 and 10 times the number of crates, n. n algebraic expression for this rule is 10n + 43. The height above the floor, in inches, of the stack of crates is the product of 43 and 10 plus the number of crates, n. n algebraic expression for this rule is 10n + 43. 5 Simplify the expression. (10 5) 3 1.5 5 6 15 6 Simplify the expression. opyright 2005-2006 by Pearson Education Page 2 of 9
hapter 01 Test 7 Simplify the expression., 8 Simplify the expression. 6 5.7 9 Simplify the expression. 10 Is the statement true or false? If false, give a counterexample. For all real numbers a, b and c,. true false; a(b + c) = ab ac false; if a = b = c = 1, then 1(1 + 1) 1(1) + 1(1) false; if a = 1, b = 2, and c = 3, then 1(2 + 3) 1(2) + 2(3) opyright 2005-2006 by Pearson Education Page 3 of 9
hapter 01 Test 11 Is the ordered pair (6, 5) a solution to the equation? Explain. yes; yes; no; no; 12 Which group of numbers is ordered from least to greatest?, 0.9, 3 3, 0.9, 0.9,, 3, 3, 0.9 opyright 2005-2006 by Pearson Education Page 4 of 9
hapter 01 Test 13 Ms. Hader split her class up into n debate teams. Each team has 4 students. hoose the graph that describes the total number of students, s, in Ms. Hader s class. If there are 9 teams, how many students are in the class? There are 40 students in the class. There are 22 students in the class. There are 36 students in the class. There are 18 students in the class. opyright 2005-2006 by Pearson Education Page 5 of 9
hapter 01 Test 14 Simplify the expression. ( x) 3 x 3 4x 3 2x 3 2x 3 0 15 Simplify the expression. 16 Simplify the expression. ( 5 + 4m) 5 4m 5 + 4m 5 4m 5 + 4m 17 Simplify the expression. 9(4 3j) 36 27j 36 + 27j 36 + 27j 36 + j opyright 2005-2006 by Pearson Education Page 6 of 9
hapter 01 Test 18 Name the subset(s) of real numbers to which the number belongs. 1.57 integer only rational only irrational and rational rational and integer 19 Name the subset(s) of real numbers to which the number belongs. rational only rational and irrational irrational only rational and integer 20 Which property does 3(17) = 3(20) 3(3) illustrate? ssociative Property of Multiplication ommutative Property of Multiplication istributive Property Identity Property of Multiplication 21 The formula changes a temperature reading from the elsius scale to the Fahrenheit scale. What is the temperature measured in degrees Fahrenheit when the elsius temperature is? opyright 2005-2006 by Pearson Education Page 7 of 9
hapter 01 Test 22 Find and correct the error in the work shown below. The student multiplied 3 by 8 before adding 7. The correct answer should be 23. The student subtracted 8 and 4 before dividing by 2. The correct answer should be 27. The student added 8 and 4 before dividing by 2. The correct answer should be 27. The student added 7 and 3 before multiplying by 8. The correct answer should be 23. 23 Which of the following expressions simplifies to, where a, b, c and d are real numbers? 24 Is the statement The absolute value of a number is always greater than its opposite true? Yes; absolute value is always positive. Yes; all positive numbers are greater than their opposites. No; the absolute value of a negative number is equal to its opposite. No; all negative numbers are greater than their opposites. opyright 2005-2006 by Pearson Education Page 8 of 9
hapter 01 Test 25 Sarah has a set of tiles that follow the pattern of the figures shown below. She says that she has a set of tiles that has nine red triangles. Is nine a reasonable number of red triangles? What is a valid explanation for your answer? Yes; since Figure 3 has six red triangles, the next figure in the pattern will have nine red triangles. Yes; since Figure 3 has six red triangles, and six and nine are both divisible by some whole-number factor n, the estimate is reasonable. No; each tile has four triangles, so the number of red triangles for n tiles is 2n, which is divisible by four. Since nine is not divisible by four, it is not reasonable. No; each tile has two red triangles, so the number of red triangles for n tiles is 2n, which is always even. Since nine is odd, it is not reasonable. opyright 2005-2006 by Pearson Education Page 9 of 9