Free Printable Linear Inequality-Drill

1.

Solve the linear inequality.

a)

x < 0

b)

x > 0

c)

x < 3

d)

x > 3

2.

Solve the linear inequality.

a)

x > 1

b)

x > 5

c)

x > -1

d)

x < -1

3.

Solve the linear inequality.

a)

x < 5

b)

x > 5

c)

x < 5

d)

x > 5

4.

Solve the linear inequality.

-5x < 15

(Note: When dividing

by a negative,

'flip' the inequality symbol.)

a)

x > 3

b)

x < 3

c)

x > -3

d)

x < -3

5.

Solve the linear inequality.

a)

x > -2

b)

x < -2

c)

x < 2

d)

x > 2

6.

Solve the linear inequality.

a)

$y>-\frac{14}{3}$

b)

$y<-\frac{14}{3}$

c)

$y>-6$

d)

$y<-6$

7.

-4x + 14 ≤ 54

a)

x ≥ - 10

b)

x ≤ -10

c)

x ≥ 10

d)

x ≤ 10

8.

Which is a solution of
5(v + 3) - 10v > -10

a)

v < 5

b)

v > 5

c)

v > -5

d)

v < -5

9.

Solve for x

a)

x > 8

b)

x < 9

c)

x > 10

d)

x < 7

10.

What does this symbol represent?

a)

less than

b)

greater than

c)

less than or equal to

d)

greater than or equal to

11.

What does this symbol represent?

a)

less than

b)

greater than

c)

less than or equal to

d)

greater than or equal to

12.

$-6a\ +7\ <\ 25$

Solve for a

a)

$a\ >\ -3$

b)

$-3\ <\ a$

c)

$a\ <\ -3$

d)

$-3\ >a$

13.

Which inequality sign has an open interval on graph?

a)

$<$

b)

$>$

c)

$\le$

d)

$\ge$

14.

$-2\ \le\ x\ \le\ 5$

Write this inequality notation as Interval notation.

a)

-2,5 with Closed interval

b)

-2,5 with open interval

c)

-2, 5 with half-open interval

d)

-2, $\infty$ with unbounded interval

15.

$-2<x\le5$

Write this inequality notation in interval notation.

a)

-2, 5 with open interval

b)

-2, 5 with closed interval

c)

-2, 5 with half open interval

d)

-2, $\infty$ with unbounded interval

Linear Inequality-Drill

Total questions: 15

Worksheet time: 45mins

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