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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
68
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}