MIDTERM EXAM - Chapter 2 Study Guide

Transcription

1 MIDTERM EXAM - Chapter 2 Study Guide MA 100 Miles College T Dabit MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Simplify the expression by combining any like terms. 1) 7x x + 3 A) 5x + 5 B) 14x C) 14 D) 9x + 5 2) 8x + x - 2x + x A) 6x B) x 2 + 6x C) 8x D) -x 2 + 6x Simplify the expression. First use the distributive property to remove any parentheses. 3) 6(x - 8) A) 6x - 48 B) 6x + 48 C) 6x - 14 D) 6x - 8 4) -10(r + 2) A) -10r - 2 B) r - 20 C) -10r - 20 D) -10r ) -(8y - 6z + 7) A) -8y - 6z + 7 B) -8y + 6z + 7 C) -8y - 6z - 7 D) -8y + 6z - 7 Solve the equation. 6) x - 18 = 3 A) -15 B) 21 C) 15 D) -21 7) -7 = r + 18 A) 11 B) 25 C) -11 D) -25 8) 2 + 8y = 9y A) -2 B) -15 C) 2 D) 8 9) -9n = -81 A) 9 B) 72 C) -72 D) 2 10) 1 2 k = A) 8 B) 2 C) 9 D) -5 11) n 3 = 10 A) 13 B) 3 C) 12 D) 30 Solve the multi-step equations. 12) 2(2z - 3) = 3(z + 3) A) 3 B) 15 C) 5 D) -3 1

2 13) -6k k = A) -40 B) -16 C) 40 D) 16 14) -4w w = 1 A) -11 B) 13 C) 11 D) ) 10n - 3 = 87 A) 11 B) 9 C) 84 D) 80 16) 6x + x = 6-34 A) -4 B) -7 C) 4 D) 7 17) 1 5 (x + 6) = 1 (x + 8) 7 A) 1 B) -12 C) -1 D) {3} 18) 7x - (3x - 1) = 2 1 A) 10 B) 1 4 C) D) ) 2(2z - 3) = 3(z - 4) A) 6 B) 8 C) 18 D) -6 20) 1 3 x + 2 = 1 6 x A) 4 B) -12 C) 3 D) -4 21) 2(7 - x) 3 = -x A) 14 B) 2 C) -2 D) -14 Solve the equation. Remember that there are three types of solutions for equations. 22) 4(x + 5) = (4x + 20) A) 40 B) no solution C) all real numbers D) 0 23) 2x + 4-8x + 2 = 4x - 10x + 3 A) 0 B) no solution C) all real numbers D) ) 9x x + 1 = 4x + 14x - 10 A) all real numbers B) 288 C) 0 D) no solution Write the phrase as a variable expression. Use x for the unknown number. 25) The product of -19 and the sum of a number and 32 A) x B) -19x + 32 C) -19(x + 32) D) -608x 26) The quotient of -22 and the difference of a number and A) B) x + 22 x + 6 C) x D) -22 x - 6 2

3 Write the following as an algebraic expression. Simplify if possible. 27) Add 9x - 4 to 4x A) 13x - 8 B) 13x - 16 C) 5x - 16 D) 13x ) Subtract 9x + 14 from 4x - 8. A) 5x + 22 B) 13x + 6 C) -5x - 6 D) -5x ) Five times a number, increased by ten A) 5x + 50 B) 5x - 10 C) 5x + 10 D) x 30) During a walk-a-thon, Rosilyn walked 18 fewer laps than June walked. If June walked b laps, how many laps did Rosilyn walk? b A) laps B) (18 - b) laps C) (b + 18) laps D) (b - 18) laps 18 31) A 21-centimeter piece of rope is cut into two pieces. If one piece is z centimeters long, express the other length as an algebraic expression in z. A) (z + 21) cm B) (z - 21) cm C) (21-2z) cm D) (21 - z) cm Graph the inequality on a number line. Then write the solution in interval notation. 32) x 1 A) (-, 1) B) (-, 1] C) (1, ) D) [1, ) 3

4 33) x > 5 A) (-, 5) B) (5, ) C) [5, ) D) (-, 5] Solve the inequality. Graph the solution set and write it in interval notation. 34) x - 12 < -1 A) (-, 11) B) [11, ) C) (-, 11] D) (11, ) 4

5 35) -7x + 6 > -8x + 9 A) (-, 3) B) [15, ) C) (3, ) D) (-, 15] 36) -18x (2x + 2) A) [-2, ) B) (-, -2] C) (-2, ) D) (-, -2) 5

6 37) x < 2 A) [-10, ) B) (-, -10) C) (-10, ) D) (-, -10] Graph the compound inequality on a number line. Then write the solution in interval notation. 38) -5 x -1 A) [-5, -1] B) [-5, -1) C) (-5, -1) D) (-5, -1] 6

7 39) 6 < 2x 14 A) (-7, -3] B) (3, 7] C) [-7, -3) D) [3, 7) Solve the inequality. Graph the solution set and write it in interval notation. 40) 4 4x A) (-7, -2) B) (2, 7) C) [2, 7] D) [-7, -2] 7

8 Answer Key Testname: CHAPTER 2 EXAM 1) D Objective: (2) Combine like terms. 2) C Objective: (2) Combine like terms. 3) A Objective: (3) Use the distributive property to remove parentheses. 4) C Objective: (3) Use the distributive property to remove parentheses. 5) D Objective: (3) Use the distributive property to remove parentheses. 6) B 7) D 8) C 9) A Objective: (2) Use the multiplication property of equality to solve linear equations. 10) D Objective: (2) Use the multiplication property of equality to solve linear equations. 11) D Objective: (2) Use the multiplication property of equality to solve linear equations. 12) B 13) B 14) B 15) B Objective: (3) Use both properties of equality to solve linear equations. 16) A Objective: (3) Use both properties of equality to solve linear equations. 17) C Objective: (3) Use both properties of equality to solve linear equations. 18) B Objective: (1) Apply a general strategy for solving a linear equation. 19) D Objective: (1) Apply a general strategy for solving a linear equation. 20) D Objective: (2) Solve equations containing fractions. 21) D Objective: (2) Solve equations containing fractions. 22) C Objective: (4) Recognize identities and equations with no solution. 23) B Objective: (4) Recognize identities and equations with no solution. 8

9 Answer Key Testname: CHAPTER 2 EXAM 24) D Objective: (4) Recognize identities and equations with no solution. 25) C Objective: (5) Write word phrases as algebraic expressions. 26) D Objective: (5) Write word phrases as algebraic expressions. 27) B 28) D 29) C 30) D 31) D 32) B Objective: (1) Define linear inequalities in one variable, graph solution sets, and use interval notation. 33) B Objective: (1) Define linear inequalities in one variable, graph solution sets, and use interval notation. 34) A Objective: (2) Solve linear inequalities. 35) C Objective: (2) Solve linear inequalities. 36) A Objective: (2) Solve linear inequalities. 37) C Objective: (2) Solve linear inequalities. 38) A Objective: (3) Solve compound inequalities. 39) B Objective: (3) Solve compound inequalities. 40) C Objective: (3) Solve compound inequalities. 9