Free Printable Everything Inequalities

1.

Match the sentence to the correct inequality Two times the sum of a number and 28 is at least 21

a)

$2\left(x\ +\ 28\right)\ \ge21$

b)

$2x\ +\ 28\ \ge21$

c)

2x + 28 $>$ 21

d)

2 ( x + 28) < 21

2.

Ann wants to spend at most $8.50 on school supplies. She needs to purchase a binder (costs $6.89) and wants to spend the rest on pens, which cost $0.59 each. Which inequality represents this situation, where x is the number of pens Ann can buy?

a)

$6.89+8.50x\le0.59$

b)

$8.50+0.59x\le6.89$

c)

$0.59+6.89x\le8.50$

d)

$6.89+0.59x\le8.50$

3.

Jo needs to collect at least 1,000 signatures for a petition. He has 520 and wants to collect the same number each week. He has 6 more weeks. Which inequality represents this situation?

a)

$520x+6\le1000$

b)

$520+6x\ge1000$

c)

$520x+6\ge1000$

d)

$520+6x\le1000$

4.

Stacy has $25 in her savings account. To save more money, Stacy is selling lemonade for $0.50. She wants to have more than $150 in her account. Which inequality represents this situation?

a)

$25+0.50x\ge150$

b)

$25x+0.50>150$

c)

$25x+0.50\ge150$

d)

$25+0.50x>150$

5.

You must be no more than 62 inches tall to play on the playground. Which inequality represents the heights of kids allowed to play?

a)

k ≤ 62

b)

k > 62

c)

k < 62

d)

k ≥ 62

6.

Which inequality represents: 4 more than a number is at most twice the number

a)

$4+x\ge2x$

b)

$4x\le4+2x$

c)

$4+x<2x$

d)

$4+x\le2x$

7.

What inequality is graphed?

a)

x > 2 and x ≤ -3

b)

x > 2 and x < -3

c)

x > 2 or x ≤ -3

d)

x > 2 or x < -3

8.

What is the solution set of the inequality shown above?

a)

$x<-2$

b)

$x\le-2$

c)

$x>-2$

d)

$x\ge-2$

9.

Solve:
-3(1 + b) ≤ 51

a)

b ≥ -5

b)

b ≤ -5

c)

b ≥ -29

d)

b ≥ -18

10.

Solve:
1 - 6p + p ≥ 11

a)

p ≤ -4

b)

p ≤ -30

c)

p ≤ -2

d)

p ≤ -11

Everything Inequalities

Total questions: 10

Worksheet time: 10mins

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