Free Printable Inequalities

1.

What is the inequality represented by the graph?

a)

$x>2$

b)

$x<2$

c)

$x\ge2$

d)

$x\le2$

2.

$-3\left(3x-5\right)>-30$

a)

$x>5$

b)

$x<5$

c)

$x>-5$

d)

$x<-5$

3.

$5\left(x-2\right)+3x\ge2\left(4x+1\right)-6$

a)

$x\ge4$

b)

$x\ge6$

c)

No Solution

d)

Infinite Many Solutions

4.

$3x-7x+12\ge2\left(3-2x\right)$

a)

$x\ge4$

b)

$x\ge6$

c)

No Solution

d)

Infinite Many Solutions

5.

Write a compound inequality for the graph shown.

a)

$x<1\ \ \ or\ \ \ x\ge2$

b)

$x<-1\ \ \ and\ \ \ \ x\ge2$

c)

$x\le-1\ \ \ or\ \ \ x>2$

d)

$x<-1\ \ \ or\ \ \ x\ge2$

6.

Write a compound inequality for the graph shown.

a)

$-3<x<2$

b)

$-3\le x<2$

c)

$-3\le x\le2$

d)

$-3<x\le2$

7.

Write a compound inequality for the graph shown.

a)

$x\le5\ and\ x\ge11$

b)

$x\ge5\ and\ x\le11$

c)

$x\ge5\ or\ x\le11$

d)

$x\le5\ or\ x\ge11$

8.

$10<2k-4\le22$

a)

$3<x\le9$

b)

$9<x\le15$

c)

$7<x\le13$

d)

$x\le8$

9.

$22<8+\left|x\right|$

a)

$x>14\ or\ x<-30$

b)

$x<14\ and\ x>-14$

c)

$x>14\ or\ x<-14$

d)

$x<14\ and\ x>-30$

10.

What are the minimum and maximum values for $\left|y-4\right|\le16$

a)

minimum y = - 12, maximum y = 20

b)

minimum y = -20, maximum y = 12

c)

no minimum, maximum y = 20

d)

no minimum or maximum

11.

Solve and graph the solutions to $-\left|x-2.5\right|\ge-2.5$

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

12.

a)

no solution

b)

all real numbers

c)

-2 ≤ n ≤ 16

d)

n ≤ -2 or n ≥ 16

13.

What is the first step?

a)

Get the absolute value alone by dividing both sides by 5

b)

Drop the absolute value bars and add 7 and 5 together

c)

Get the absolute value alone by subtracting 5 from both sides

14.

a)

x > 2 or x < 9

b)

x > 9 or x < 2

c)

- 2 < x < 9

d)

x > 9 or x < 20/7

15.

What value of x is NOT a solution to the compound inequality graphed?

a)

x = - 4

b)

x = - 3

c)

x = 2

d)

x = 3

16.

Match:
You must be at least 48 inches tall to ride the bumper cars.

a)

h < 48

b)

h > 48

c)

h ≤ 48

d)

h ≥ 48

17.

Write an inequality for this situation:
You are driving, and the maximum speed limit is 55.

a)

s < 55

b)

s > 55

c)

s ≤ 55

d)

s ≥ 55

18.

Write an inequality for Graph 4.

a)

-2 < x < 5

b)

x < -2 or x > 5

c)

x ≥ -2 OR x < 5

d)

-2 ≤ x ≤ 5

19.

2x - 3 ≥ 4x - 1

a)

x ≤ -1

b)

x ≥ -1

c)

x ≤ 1

d)

x ≥ 1

20.

Solve: -3 ≤ 2x - 1 ≤ 5

a)

-1 ≤ x ≤ 3

b)

-1 < x < 3

c)

1 < x < 3

d)

1 ≤ x ≤ 3

21.

a)

no solution

b)

a> -1/6 or a< -5/6

c)

a>1/2 or a< -3/2

d)

all real numbers

22.

What is the reason that absolute value is always written as a positive?

a)

Absolute value is talking about numbers so it must be positive.

b)

Absolute value does not always have to be positive.

c)

Absolute value is like a clock it has only positive numbers.

d)

Absolute value is talking about distance, distance is always measured by positive numbers.

Inequalities

Total questions: 22

Worksheet time: 5hrs 5mins

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