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LDME Unit 3 Lesson 2 Solving Two Step Inequalities

Total questions: 15

Worksheet time: 3hrs 40mins

Name
Class
Date
1.

Solve:


-9a - 1 < 26

a)

a < -3

b)

a < 3

c)

a > -3

2.

Solve:


7x – 2 ≥ -9

a)

x ≥ -1

b)

x ≤ -1

c)

x ≥ 1

3.

Solve for x.


6x + 4 ≤ -2

a)

x ≤ -1

b)

x ≤ 1

c)

x ≥ 1

4.

Solve:


7n - 1 > 76

a)

n > -2

b)

n > -50

c)

n > 11

5.

Solve:


-3x - 2 < -17

a)

x < 7.67

b)

x > 5

c)

x < 5

6.

Solve:


-3x + 2 ≤ 20

a)

x ≥ -6

b)

x ≤ -6

c)

x ≤ -7

7.

When graphing an inequality, you use an open circle when you use which symbol?

a)

<, >

b)

≤, ≥

8.

Solve:


x + 10 > 12

a)

x > 2

b)

x < 2

c)

x > 22

9.

Solve:


-2x - 1 ≤ 9

a)

x ≤ 5

b)

x ≤ -5

c)

x ≥ -5

10.

When you graph an inequality, you used a closed circle when you use which symbols?

a)

≤, ≥

b)

<, >

11.

Solve:


-5x + 3 > -7

a)

x < 2

b)

x > 2

c)

x < -2

12.

When solving the inequality below, what is the SECOND step to solving?

-3x - 2 < -17

a)

Dividing both sides by -3

b)

Dividing both sides by -3; flip the inequality sign

c)

Adding 2 to both sides.

13.

Solve:


4x − 2 < 0

a)

x < 1/2

b)

x > 1/2

c)

x < -1/2

14.

Solve the following inequality and choose the solution and graph that match. 5x - 2 > 8

a)
b)
c)
d)
15.

Solve:


-3y + 2 > 11

a)

y < -3

b)

y > -3

c)

y < 3