Free Printable Inequalities Review

1.

Solve the following inequality:

| x − 2 | > 3

a)

2 < x < 10

b)

x < 2 or x > 10

c)

−1 < x < 5

d)

x < −1 or x > 5

2.

Solve the following inequality:

| 2w − 1 | < 11

a)

No Solution

b)

All Real Numbers

c)

−5 < w < 6

d)

−6 < w < 5

3.

Solve the following inequality:

|x + 3| > − 8

a)

x > 5 or x < −11

b)

x > 5

c)

all real numbers

d)

no solution

4.

Solve the following inequality:

|x + 4| − 8 > 2

a)

x > 6 and x < 10

b)

x > 6 or x < −14

c)

all real numbers

d)

no solution

5.

Solve the following inequality:

−5|x − 4| > −20

a)

x < 8 and x > 0

b)

x > 8 or x < 0

c)

all real numbers

d)

no solution

6.

5|k - 6| + 10 < 25

a)

k < 9

b)

k > 3

c)

3 < k < 9

d)

k < 9 or k > 3

7.

Which compound inequality represents the graph?

a)

m < -1 or m > 2

b)

-1 < m < 2

c)

m > -1 or m < 2

d)

m < -1 and m > 2

8.

What is ALWAYS the first GOAL in solving an absolute value inequality?

a)

set up the positive case

b)

set up the negative case

c)

isolate the absolute value expression

d)

multiply or divide by the coefficient of the variable

9.

Solve.

\left|2t\ +\frac{2}{3}\right|\ <\ 4

a)

$-\frac{5}{3}\ <\ t\ \ <\ \frac{7}{3}$

b)

$t\ <-\frac{5}{3}\ \ or\ \ t\ >\frac{7}{3}$

c)

$-\frac{7}{3}\ <\ t\ \ <\ \frac{5}{3}$

d)

$t\ <-\frac{7}{3}\ \ or\ \ t\ >\frac{5}{3}$

10.

Solve:

3\left|2x+7\right|+7\ <\ 4

a)

$-\frac{5}{3}\ <\ x\ <-3$

b)

$-4\ <\ x\ <-3$

c)

all real numbers

d)

no solution

11.

Solve the inequality

6x – 14 < –14 or 3x + 10 > 13

a)

x < –4 or x > 7

b)

x < –6 or x > 0

c)

x < 0 or x > 1

d)

x < 0 or x > 7

12.

What is the solution to the inequality –19 < 3x – 4 < 5

a)

–26 < x < –2

b)

–5 < x < 3

c)

–18 < x < 6

d)

–9 < x < 3

13.

5z - 2z - 2 < 13

a)

z > 5

b)

z < 5

c)

z > 1

d)

z < 1

14.

a)

x>-1

b)

x<-1

c)

x≤-1

d)

x≥-1

15.

You flip an inequality symbol when you...

a)

subtract

b)

multiply and divide only

c)

multiple by a negative number

d)

multiple or divide by a negative number

16.

2(x - 1) + 4x < 10

a)

x > 2

b)

x < 2

c)

x > 11/6

d)

x < 11/6

17.

True or false: you flip the sign every time you multiply or divide when you're solving an inequality.

a)

True

b)

False

18.

Would your graph go to the left or right when you graph x ≥ 4?

a)

Left

b)

Right

19.

What does an open circle mean?

a)

The number is opened.

b)

The number is part of the solution.

c)

The number is NOT part of the solution.

d)

It's just a shape, all points are equidistant from the center of the circle.

20.

What does a closed circle mean?

a)

It means it is dark.

b)

The number is part of the solution.

c)

The number is NOT part of the solution.

d)

It's just a circle, all points are equidistant from the center of the circle.

Inequalities Review

Total questions: 20

Worksheet time: 2hrs 30mins

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