Free Printable Solving One- and Two-Step Inequalities Refresher

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Worksheets

Solving One- and Two-Step Inequalities Refresher

Total questions: 25

Worksheet time: 12mins

Name

Class

Date

1.

Multiply by a positive

a)

Flip

b)

Don't Flip

2.

Multiply by a negative

a)

Flip

b)

Don't Flip

3.

Divide by a negative

a)

Flip

b)

Don't Flip

4.

Divide by a positive

a)

Flip

b)

Don't Flip

5.

Do you need to flip?

n-6\le-14

a)

No, because the coefficient of n is negative

b)

No, because the coefficient of n is positive

c)

Yes, because the coefficient of n is negative

d)

Yes, because the coefficient of n is positive

6.

Solve
$n-6\le-14$

a)

$n\le-8$

b)

$n\ge-8$

c)

$n\le-20$

d)

$n\ge-20$

7.

Graph the inequality
$n-6\le-14$

a)

A

b)

B

c)

C

d)

D

8.

Do you need to flip?
$-9n\ge-90$

a)

No, because the coefficient of n is negative

b)

No, because the coefficient of n is positive

c)

Yes, because the coefficient of n is negative

d)

Yes, because the coefficient of n is positive

9.

Solve
$-9n\ge-90$

a)

$n\le10$

b)

$n\ge10$

c)

$n\le-81$

d)

$n\ge-81$

10.

Graph the inequality
$-9n\ge-90$

a)

A

b)

B

c)

C

d)

D

11.

Do you need to flip?
$\frac{n}{3}>3$

a)

No, because the coefficient of n is negative

b)

No, because the coefficient of n is positive

c)

Yes, because the coefficient of n is negative

d)

Yes, because the coefficient of n is positive

12.

Solve
$\frac{n}{3}>3$

a)

$n>9$

b)

$n<9$

c)

$n>0$

d)

$n>6$

13.

Graph
$\frac{n}{3}>3$

a)

A

b)

B

c)

C

d)

D

14.

Do you need to flip?
$b-7<-12$

a)

No, because the coefficient of b is negative

b)

No, because the coefficient of b is positive

c)

Yes, because the coefficient of b is negative

d)

Yes, because the coefficient of b is positive

15.

Solve
$b-7<-12$

a)

$b<-5$

b)

$b>-5$

c)

$b<-19$

d)

$b>-19$

16.

Graph
$b-7<-12$

a)

A

b)

B

c)

C

d)

D

17.

Do you need to flip?
$-5n+5<60$

a)

No, because the coefficient of n is negative

b)

No, because the coefficient of n is positive

c)

Yes, because the coefficient of n is negative

d)

Yes, because the coefficient of n is positive

18.

Solve
$-5n+5<60$

a)

$n>-11$

b)

$n<-11$

c)

$n<-13$

d)

$n>-13$

19.

Graph
$-5n+5<60$

a)

A

b)

B

c)

C

d)

D

20.

Do you need to flip?
$\frac{n}{3}+2>0$

a)

No, because the coefficient of n is negative

b)

No, because the coefficient of n is positive

c)

Yes, because the coefficient of n is negative

d)

Yes, because the coefficient of n is positive

21.

Solve.
$\frac{n}{3}+2>0$

a)

$n<-6$

b)

$n>-6$

c)

$n>6$

d)

$n<6$

22.

Graph.
$\frac{n}{3}+2>0$

a)

A

b)

B

c)

C

d)

D

23.

Do you need to flip?
$8x+2\le138$

a)

No, because the coefficient of x is negative

b)

No, because the coefficient of x is positive

c)

Yes, because the coefficient of x is negative

d)

Yes, because the coefficient of x is positive

24.

Solve.
$8x+2\le138$

a)

$x\le128$

b)

$x\le17$

c)

$x\ge17$

d)

$x\le65$

25.

Graph.
$8x+2\le138$

a)

A

b)

B

c)

C

d)

D

100 %

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