Math Practice Online > free > lessons > Florida > 9th grade > Single Variable Inequalities

These sample problems below for Single Variable Inequalities were generated by the MathScore.com engine.

## Sample Problems For Single Variable Inequalities

### Complexity=5, Mode=1

Solve.
 1.   z + 2 > - 1 Answer: 2.   j + 2 > - 1 Answer:

### Complexity=5, Mode=2

Solve.
 1.   5m + 1 <= 21 Answer: 2.   4j + 1 > 37 Answer:

### Complexity=10, Mode=2

Solve.
 1.   8t - 3 >= - 43 Answer: 2.   - 6s + 10 < - 8 Answer:

### Complexity=5, Mode=3

Solve.
 1.   4(5n + 4) < - 144 Answer: 2.   3(2q + 4) > 24 Answer:

### Complexity=6, Mode=3

Solve.
 1.   2(6k + 2) >= 100 Answer: 2.   2(5e - 2) >= - 34 Answer:

### Complexity=7, Mode=3

Solve.
 1.   6(2h + 5) <= 66 Answer: 2.   5(4y + 2) > - 170 Answer:

### Complexity=5, Mode=4

Solve.
 1.   -x + 1 >= x + 11 Answer: 2.   y - 5 <= - 2y + 7 Answer:

### Complexity=6, Mode=4

Solve.
 1.   - 9v + 2 >= - 3v + 44 Answer: 2.   - 1 >= - 2p - 3 Answer:

### Complexity=7, Mode=4

Solve.
 1.   - 2b - 5 < - 5b + 4 Answer: 2.   14b + 7 < 7b + 56 Answer:

### Complexity=9, Mode=4

Solve.
 1.   - 9e + 7 < - 6e + 25 Answer: 2.   - 3k + 3 < 2k + 38 Answer:

### Complexity=12, Mode=4

Solve.
 1.   - 20w + 3 >= - 11w + 21 Answer: 2.   8g + 2 > - 4g + 26 Answer:

### Complexity=15, Mode=4

Solve.
 1.   29q + 7 < 14q + 22 Answer: 2.   - 3z - 14 < - 14z - 80 Answer:

### Complexity=5, Mode=1

Solve.
1z + 2 > - 1
Solution
z + 2 - 2 > - 1 - 2
z > - 3

2j + 2 > - 1
Solution
j + 2 - 2 > - 1 - 2
j > - 3

### Complexity=5, Mode=2

Solve.
15m + 1 <= 21
Solution
5m + 1 - 1 <= 21 - 1
5m <= 20

Divide by 5

m <= 4

24j + 1 > 37
Solution
4j + 1 - 1 > 37 - 1
4j > 36

Divide by 4

j > 9

### Complexity=10, Mode=2

Solve.
18t - 3 >= - 43
Solution
8t - 3 + 3 >= - 43 + 3
8t >= - 40

Divide by 8

t >= - 5

2- 6s + 10 < - 8
Solution
- 6s + 10 - 10 < - 8 - 10
- 6s < - 18

Divide by - 6
Reverse the inequality because we are dividing by a negative value.

s > 3

### Complexity=5, Mode=3

Solve.
14(5n + 4) < - 144
Solution
20n + 16 - 16 < - 144 - 16
20n < - 160

Divide by 20

n < - 8

23(2q + 4) > 24
Solution
6q + 12 - 12 > 24 - 12
6q > 12

Divide by 6

q > 2

### Complexity=6, Mode=3

Solve.
12(6k + 2) >= 100
Solution
12k + 4 - 4 >= 100 - 4
12k >= 96

Divide by 12

k >= 8

22(5e - 2) >= - 34
Solution
10e - 4 + 4 >= - 34 + 4
10e >= - 30

Divide by 10

e >= - 3

### Complexity=7, Mode=3

Solve.
16(2h + 5) <= 66
Solution
12h + 30 - 30 <= 66 - 30
12h <= 36

Divide by 12

h <= 3

25(4y + 2) > - 170
Solution
20y + 10 - 10 > - 170 - 10
20y > - 180

Divide by 20

y > - 9

### Complexity=5, Mode=4

Solve.
1-x + 1 >= x + 11
Solution
-x + 1 - 1 >= x + 11 - 1
-x >= x + 10

-x - x >= x + 10 - x
- 2x >= 10

Divide by - 2
Reverse the inequality because we are dividing by a negative value.

x <= - 5

2y - 5 <= - 2y + 7
Solution
y - 5 + 5 <= - 2y + 7 + 5
y <= - 2y + 12

y + 2y <= - 2y + 12 + 2y
3y <= 12

Divide by 3

y <= 4

### Complexity=6, Mode=4

Solve.
1- 9v + 2 >= - 3v + 44
Solution
- 9v + 2 - 2 >= - 3v + 44 - 2
- 9v >= - 3v + 42

- 9v + 3v >= - 3v + 42 + 3v
- 6v >= 42

Divide by - 6
Reverse the inequality because we are dividing by a negative value.

v <= - 7

2- 1 >= - 2p - 3
Solution
- 1 + 3 >= - 2p - 3 + 3
2 >= - 2p

Divide by - 2
Reverse the inequality because we are dividing by a negative value.

- 1 <= p

p >= - 1

### Complexity=7, Mode=4

Solve.
1- 2b - 5 < - 5b + 4
Solution
- 2b - 5 + 5 < - 5b + 4 + 5
- 2b < - 5b + 9

- 2b + 5b < - 5b + 9 + 5b
3b < 9

Divide by 3

b < 3

214b + 7 < 7b + 56
Solution
14b + 7 - 7 < 7b + 56 - 7
14b < 7b + 49

14b - 7b < 7b + 49 - 7b
7b < 49

Divide by 7

b < 7

### Complexity=9, Mode=4

Solve.
1- 9e + 7 < - 6e + 25
Solution
- 9e + 7 - 7 < - 6e + 25 - 7
- 9e < - 6e + 18

- 9e + 6e < - 6e + 18 + 6e
- 3e < 18

Divide by - 3
Reverse the inequality because we are dividing by a negative value.

e > - 6

2- 3k + 3 < 2k + 38
Solution
- 3k + 3 - 3 < 2k + 38 - 3
- 3k < 2k + 35

- 3k - 2k < 2k + 35 - 2k
- 5k < 35

Divide by - 5
Reverse the inequality because we are dividing by a negative value.

k > - 7

### Complexity=12, Mode=4

Solve.
1- 20w + 3 >= - 11w + 21
Solution
- 20w + 3 - 3 >= - 11w + 21 - 3
- 20w >= - 11w + 18

- 20w + 11w >= - 11w + 18 + 11w
- 9w >= 18

Divide by - 9
Reverse the inequality because we are dividing by a negative value.

w <= - 2

28g + 2 > - 4g + 26
Solution
8g + 2 - 2 > - 4g + 26 - 2
8g > - 4g + 24

8g + 4g > - 4g + 24 + 4g
12g > 24

Divide by 12

g > 2

### Complexity=15, Mode=4

Solve.
129q + 7 < 14q + 22
Solution
29q + 7 - 7 < 14q + 22 - 7
29q < 14q + 15

29q - 14q < 14q + 15 - 14q
15q < 15

Divide by 15

q < 1

2- 3z - 14 < - 14z - 80
Solution
- 3z - 14 + 14 < - 14z - 80 + 14
- 3z < - 14z - 66

- 3z + 14z < - 14z - 66 + 14z
11z < - 66

Divide by 11

z < - 6

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