Solving Equations and Inequalities #4
Middle School Math Course 3 / 8th Grade (Mr. Davis)
Student Name/ID:
1. Solve the inequality for y .
y
+ 17 ≥ 33
2
Simplify your answer as much as possible.
2. Solve the inequality for y .
5 y − 14 > 56
Simplify your answer as much as possible.
3. Graph the inequality below on the number line.
b > −4
-11-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 11
4. Solve the inequality for x .
−3 ≥
x
+2
6
Simplify your answer as much as possible.
Solving Equations and Inequalities #4
x
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5. Solve the inequality for x .
4 x − 7 < −19
Simplify your answer as much as possible.
6. Solve the inequality for v .
−13 ≤ −5 +
8
v
3
Simplify your answer as much as possible.
7. Solve for
v.
1 = 3v + 8 v + 7
Simplify your answer as much as possible.
8. Solve the inequality for y .
2<
y
− 11
3
Simplify your answer as much as possible.
9. Solve for
x.
−30 = 5 x − 2 + 5 x
Simplify your answer as much as possible.
Solving Equations and Inequalities #4
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10. Graph the inequality below on the number line.
y <8
-11-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 11
11. Solve the inequality for
w.
41 ≤ 2 w + 15
Simplify your answer as much as possible.
12. Solve the inequality for x .
1 ≤ −2 +
x
4
Simplify your answer as much as possible.
13. Solve the inequality for x .
−7 ≥ 4 x + 9
Simplify your answer as much as possible.
14. Solve the inequality for x .
−2 x + 8 > −4
Simplify your answer as much as possible.
Solving Equations and Inequalities #4
u
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15. Solve the inequality for
u.
−29 + 5 u ≤ −9
Simplify your answer as much as possible.
16. Solve for
u.
−5 u + 7 u + 4 = 16
Simplify your answer as much as possible.
17. Simplify.
5 2 v − 3 − 13 v
18. Graph the inequality below on the number line.
b ≥2
-11-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 11
19. Simplify.
−4 u + 2 + 5 3 u + 3
Solving Equations and Inequalities #4
y
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20. Solve the inequality for y .
1−
1
y < −3
3
Simplify your answer as much as possible.
21. Solve for
w.
6 w − 3 + 4 w = −38
Simplify your answer as much as possible.
22. Simplify.
− y +1 −2
23. Solve the inequality for
u.
13 < −2 − 3 u
Simplify your answer as much as possible.
24. Simplify.
−2 y + 4 + y
25. Solve the inequality for x .
−38 ≥ −6 x − 2
Simplify your answer as much as possible.
Solving Equations and Inequalities #4
v
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26. Solve the inequality for v .
−6 > −16 −
9v
5
Simplify your answer as much as possible.
27. Solve the inequality for x .
x
− 8 < −13
5
Simplify your answer as much as possible.
28. Solve the inequality for
−11 +
u.
6
u ≥ −3
7
Simplify your answer as much as possible.
29. Solve the inequality for y .
−
9y
+ 3 < −6
2
Simplify your answer as much as possible.
30. Graph the inequality below on the number line.
b ≤4
-11-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 11
Solving Equations and Inequalities #4
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31. Graph the inequality below on the number line.
x >1
-11-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 11
32. Solve the inequality for
w.
6 w − 2 ≤ 34
Simplify your answer as much as possible.
33. Solve for
y.
2 y + 4 − 4 y = 20
Simplify your answer as much as possible.
34. Solve the inequality for v .
v
+ 13 ≥ 20
4
Simplify your answer as much as possible.
35. Simplify.
5 2 w − 3 − 12 w
Solving Equations and Inequalities #4
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Solving Equations and Inequalities #4 Answers for class 8th
Grade
1. y ≥ 32
2. y > 14
3.
-11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 11
4.
−30 ≥ x
5. x < −3
6.
−3 ≤ v
7. v = −5
8. y > 39
9. x = −2
10.
-11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 11
11. w ≥ 13
12. 12 ≤ x
13.
−4 ≥ x
x <6
Solving Equations and Inequalities #4
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14. x < 6
15. u ≤ 4
16. u = −6
17.
−3 v − 15
18.
-11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 11
19. 11 u + 7
20. y > 12
21. w = −2
22.
−y − 3
23.
−5 > u
24.
−y − 8
25. 6 ≤ x
26.
−
50
<v
9
27. x < −25
28. u ≥
28
3
29. y > 2
Solving Equations and Inequalities #4
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30.
-11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 11
31.
-11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 11
32. w ≤ 6
33. y = −6
34. v ≥ 28
35.
−2 w − 15
Solving Equations and Inequalities #4
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