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Unit 6 Test A: Equations and Inequalities Standard: AF 4.1 Solving two-step equations and inequalities Name _________________________ Score Pre-Algebra, Period ________ /100 Date __________________________ Solve the equation. Check your solution. 1. 3y – 4 = 2 2. h 8 11 6 Solve the inequality. Then graph the solution. 4. –3x > 12 3. b + 6 < 11 5. Which of the following is an example of an inequality? A 3n – 6 B 4n > 9 5. _______ C 2=n–1 D 5+0=5 6. Which equation has a solution of 5? A 13 + x = 18 B 8=x–3 6. _______ C x – 5 = 10 D x + 5 = –10 7. Which inequality has 23 as a solution? A x – 3 > 20 B x – 3 > 20 7. _______ C x – 3 < 20 8. What value of x makes the equation on the right true? A 2 B 66 C 18 D 126 x 68 9 D x + 3 < 20 8. _______ 9. What is the solution set to the inequality 6z + 5 > 35? A {z : z < 5} B {z: z < 24} C {z : z > 24} 9. _______ D {z : z > 5} 10. What is the value of x if –3x + 2 = –7? A x=3 B x = –3 C x = –6 10. ______ D x=6 11. What value of x satisfies the equation 4x + 2 = 22? A 3.5 B 7.5 C 6.0 11. ______ D 5.0 12. Joan needs $60 for a class trip. She has $32. She can earn $4 an hour mowing lawns. If the equation shows this relationship, how many hours must Joan work to have the money she needs? 4h + 32 = 60 A 23 hours B 17 hours C 7 hours D 28 hours 13. Find the value of x that makes the equation true. 4x – 8 = 32 A –10 B 6 C 10 13. ______ D 11 14. What values of x make the inequality true? –3x – 6 > 18 A {x : x > –8} B {x : x < –8} C {x : x > 8} 14. ______ D {x : x < 8} 15. What is the solution set to the inequality 7z + 5 > 47? A {z : z < 5} B {z: z > 6} 12. ______ C {z : z < 6} 15. ______ D {z : z > 24}