Pre-Algebra Chapter 2 Solving One-Step Equations and Inequalities
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1 Pre-Algebra Chapter 2 Solving One-Step Equations and Inequalities SOME NUMBERED QUESTIONS HAVE BEEN DELETED OR REMOVED. YOU WILL NOT BE USING A CALCULATOR FOR PART I MULTIPLE-CHOICE QUESTIONS, AND THEREFORE YOU SHOULD NOT USE ONE FOR THE REVIEW PACKETS. 1. Use the Associative Property of Addition to find the total of 1, 10, and 18 in two different ways. A = = 29; = = 29 B = = 29; = = 29 C. (1 + 10) + 18 = = 29; 1 + ( ) = = 29 D. (1 + 10) + 18 = = 29; (10 + 1) + 18 = = 29 Name the property shown. 2. 5! 7 = 7! 5 A. Identity Property of Multiplication B. Associative Property of Multiplication C. Commutative Property of Multiplication D. Identity Property of Addition 3. (8! 5)! 11 = 8! (5! 11) A. Commutative Property of Multiplication B. Commutative Property of Addition C. Identity Property of Multiplication D. Associative Property of Multiplication 4. Suppose you average 52 mi/h traveling on the highway. If you drive for 5 hours, how far will you travel? A. 260 miles B. 250 miles C. 350 miles D. 240 miles 5. Which choice shows the next step to simplify 6(12) 6(5) using the Distributive Property? A. 6(12-5) B. 12(6-5) C. 12(12-5) D. 5(12-6) Simplify the expression. 6. 6(6) + 6(4) A. 60 B. 10 C. 16 D (10)9 (10)11 A. 2 B. 20 C. 200 D x + 3x A. 6x B. 9x C. 6x D d d 3 A. 19d 7 B. 3d + 9 C. 3d + 9 D. 12d 10. 2c c A. 9c B. 9c C. 7c + 2 D. 4c + 5
2 ( 7x + 5) A. 35x + 34 B. 28x + 20 C. 35x + 14 D. 35x 16 Use the Distributive Property to multiply (b + 8) A. 5b + 40 B. 5b + 8 C. 5b + 13 D. 8b (4m + 1) A. 36m + 1 B. 36m + 9 C. 13m + 9 D. 45m 14. 5(2t 5) A. 10t 5 B. 7t 25 C. 10t 25 D. 15t 15. Name the coefficients in the expression 4x + 9 y. A. 4, 9, 0 B. 4, 1 C. 4 D Name the like terms in the expression 5a + 8 3a A. 5a, 8 B. 8, 11 C. 5a, 3a D. 5a, 3a 17. Name the constant(s) in the expression 7x + 9y + 3. A. x and y B. 7 C. 9 D. 3 State whether the equation is true, false, or an open sentence = 5+4 A. open sentence B. true C. false 19. 4( 3 + 5) = 4( 2 4) A. false B. true C. open sentence 20. 5[5 ( 9)] = 7( 2 + 5) A. false B. true C. open sentence Is the given number a solution of the equation? d = 8; 5 A. no B. yes 22. c = 2c 4; 8 A. yes B. no 23. Identify the equation and the given value as a solution for the problem statement? A farmer sees 56 of his cows out of the barn. He knows that he has 83 cows altogether. Let c represent the number of cows still in the barn. Are there 33 cows still in the barn? A = c; no C c = 56; no B c = 83; no D. c + 33 = 56; yes
3 Solve the equation. 24. a + 3 = 10 A. 7 B. 13 C. 7 D a 4 = 12 A. 8 B. 16 C. 8 D y 5 = 8 A. 13 B. 3 C. 40 D y + ( 6) = 9 A. 15 B. 3 C. 54 D n = 35 A. 31 B. 101 C. 21 D b = 27 A. 3 B. 18 C. 243 D ,000g = 48,000 A. 40,000 B. 60 C. 6 D b = 21 A. 14 B. 3 C. 28 D A. 3 B. 2 3 C. 54 D A. B. 12 C. D Suppose you have 30 CDs. You know that you have 11 more CDs than your friend. Write and solve an equation to find the number of CDs your friend has. A. n 11 = 30; 41 C = n; 41 B n = 11; 19 D. n + 11 = 30; 19
4 35. The odometer in your mother s car reads 2,000 miles less than the odometer in your uncle s car. Your mother s odometer reads 19,000 miles. Write and solve an equation to find the number of miles m on your uncle s car. A. m + 2,000 = 19,000; 17,000 mi C. m 2,000 = 19,000; 21,000 mi B. m 2,000 = 19,000; 17,000 mi D. 19,000 2,000 = 17,000 mi 36. Tom saves $5 each month. At this rate, how many months will he need to save $20? A. 4 months B. 15 months C. 3 months D. 5 months 37. Write an equation for the sentence below. Then solve the equation. Thirteen multiplied by h is one hundred and four. A. 13h = 104; 91 C. 13 * 104 = h; 1,352 B. 1 D. 13h = 104; 8 104h = 13; 8 Graph the solutions of the inequality on a number line. 38. c < 5 A. C. B. D > q A. C. B. D.
5 40. Write an inequality for the graph. A. x 3 B. x 3 C. x 3 D. x A road has a speed limit of 30 mi/h. Write an inequality that describes the legal speeds r for motor vehicles. A. r > 30 B. r " 30 C. r # 30 D. r < Write an inequality for the sentence. Graph the solution on a number line. c is not less than zero. A. c < 0 C. c " 0 B. c > 0 D. c # 0
6 Solve the inequality. Graph the solutions. 43. a + 4 # 8 A. a " 4 C. a # 4 B. a " 12 D. a # q 7 > 0 A. q > 7 C. q < 7 B. q < 7 D. q > 7
7 45. h 2 < 1 A. h < 1 C. h < 3 B. h > 1 D. h > Together, Louisa and Jill scored more than 30 points in the basketball game. If Jill scored 12 points, how many points P did Louisa score? A. P > 18 B. P > 42 C. P < 42 D. P < 18 Solve the inequality n > 25 A. n > 20 B. n > 5 C. n > 30 D. n < < 6d A. d < 7 B. d < 36 C. d > 7 D. d < A. r # 18 B. r " 18 C. R " 1 2 D. r " > 10 A. y < 16 B. y > 60 C. y > 4 D. y < A. c < 4 B. c < 32 C. c > 32 D. c > 12
8 52. Jose has 9 more comic books than Robin. Robin has 5 more comic books than Lee. a. If Jose has 23 comic books, how many comic books does Robin have? b. How many comic books does Lee have? A. 14 comic books; 9 comic books B. 14 comic books; 18 comic books C. 32 comic books; 37 comic books D. 9 comic books; 5 comic books 53. Which of the following conditions would make x + a < x a true statement? A. x equals a C. x is negative B. a is negative D. a is less than x 54. A piggy bank has only nickels and dimes in it. There are 14 coins worth $0.95. How many nickels and dimes are in the bank? 55. The seventh graders sold tickets to their play. The tickets cost $3 for students and $6 for adults. For one performance they sold 79 tickets and collected $375. How many student tickets and how many adult tickets were sold? 56. The Ramirez family has three children. The sum of their ages is 11. The product of their ages is 24. How old are the children?
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Pearson Education, Inc., publishing as Pearson Prentice Hall. All rights reserved. Answers for Lesson - Exercises. natural numbers, whole numbers, integers, rational numbers, real numbers. irrational numbers,
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