Free Printable Words Matter - Equations and Inequalities

1.

At the bookstore, Mario bought a magazine for $4, and five books that all cost the same amount. He spent a total of $129. Which equation expresses how much each book cost?

a)

$x\ =\ 129-4$

b)

$5x\ -\ 4\ =129$

c)

$4x\ +\ 5\ =\ 129$

d)

$5x\ +\ 4\ =\ 129$

2.

Aubrey set a goal to have at least 52 hits this softball season. So far, she has 24 hits. If she averages 2 hits per game, which inequality best represents how many more games, g, Aubrey needs to achieve her goal?

a)

$2g\ +\ 24\ >52$

b)

$2g\ +\ 24\ \ge\ 52$

c)

$2\ +\ 24g\ \ge52$

d)

$2g\ +\ 24\ \le\ 52$

3.

What is the goal when solving a two-step equation?

a)

to move everything to one side of the equal sign

b)

to make it a one-step equation

c)

to isolate the variable

d)

to divide everything you can

4.

Piper is registering her daughter for swim lessons. There is a one-time registration fee of $45 plus $20 for each swim lesson. Piper paid a total of $225 for swim lessons. Which equation best represents this situation?

a)

$45x\ +\ 20\ =225$

b)

$20x\ +\ 45\ =\ 225$

c)

$20x\ -\ 45\ =\ 225$

d)

$20\left(x\ +\ 45\right)\ =\ 225$

5.

Brandon bought a bottle of water for $2. He also bought some hot dogs, h, for $3 each. Brandon did not spend more than $14 on the hot dogs and the bottle of water. Which inequality best represents this situation?

a)

$3h\ +\ 2\ \le\ 14$

b)

$3h\ -\ 2\ \le\ 14$

c)

$3h\ +\ 2\ \ge\ 14$

d)

$3h\ -\ 2\ \ge\ 14$

6.

What is the inverse of multiplication?

a)

addition

b)

subtraction

c)

multiplication

d)

division

7.

Destiny had $150 to spend on 3 pairs of jeans. After buying them, she had $30 left over. What equation expresses how much each pair of jeans cost?

a)

$\frac{30j}{3}\ =\ 150$

b)

$3j\ -\ 30\ =\ 150$

c)

$3j\ +\ 30\ =\ 150$

d)

$3j\ =\ 180$

8.

CD Fulkes Middle School wants to collect more than 1,300 cans of food for a local charity. So far, they have collected 762 cans. Which inequality can be used to determine the number of cans, n, they need to collect each day for the next 4 days to meet their goal?

a)

$762\ +\ 4n\ <1300$

b)

$762\ +\ n\ >\ 1300$

c)

$\left(762\ +\ 4\right)n\ >\ 1300$

d)

$762\ +\ 4n\ >\ 1300$

9.

At Coffee Corner they sell a reusable mug for $6. If you use the mug for a refill, the refill costs $1.30. Last month Mr. Brady spent $29.40 for the mug and refills. Which equation can be used to determine the number of refills, r, Mr. Brady purchased last month?

a)

$6\ +\ 1.30r\ =\ 29.40$

b)

$6r\ +\ 1.30\ =\ 29.40$

c)

$6\ -\ 1.30r\ =\ 29.40$

d)

$\left(6\ +\ 1.30\right)r\ =\ 29.40$

10.

What is the inverse of subtraction?

a)

addition

b)

subtraction

c)

multiplication

d)

division

11.

Catalina has $7.50 to spend at the cookie shop. A large cookie costs $1.25 and a soft drink costs $0.90. She buys one drink and c, cookies. Which inequality can be used to find the number of cookies Catalina can buy?

a)

$1.25c\ +\ 0.9\ \ge\ 7.5$

b)

$1.25c\ +\ 0.9\ \le\ 7.5$

c)

$1.25\ +\ 0.9c\ \le\ 7.5$

d)

$1.25c\ +\ 0.9\ <\ 7.5$

12.

DeAndre hangs a shelf in his room that can hold no more than 20 pounds. He places a large trophy on the shelf weighing 8 pounds. He has another 3 trophies that he wants to place on the shelf as well. If the additional trophies each weigh the same, which inequality best represents this situation?

a)

$8\ +\ 3t\ \ge\ 20$

b)

$8t\ +\ 3\ \le\ 20$

c)

$8\ +\ 3t\ \le\ 20$

d)

$8\ +\ 3t\ <\ 20$

Words Matter - Equations and Inequalities

Total questions: 12

Worksheet time: 47mins

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