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Adding/Subtracting One-Step Equations with Rational Numbers

Total questions: 15

Worksheet time: 37mins

Name
Class
Date
1.

Fill in the blank with the correct words. To solve x + 4 = 10, you need to __________ 4 from both sides.

a)

subtract

b)

add

c)

multiply

d)

divide

2.

Fill in the blank with the correct words. When solving y - 34\frac{3}{4} = 2, you should __________ 34\frac{3}{4} to both sides.

a)

add

b)

subtract

c)

multiply

d)

divide

3.

Fill in the blank with the correct words. In the equation a + 1.5 = 5.2, you __________ 1.5 from both sides to isolate a.

a)

subtract

b)

adding

c)

multiplying

d)

dividing

4.

Fill in the blank with the correct words.

p - 7 = -2 can be solved by __________ 7 to both sides.

a)

adding

b)

subtracting

c)

multiplying

d)

dividing

5.

Fill in the blank with the correct words. To solve equations, you must perform the __________ operation to both sides of the equation, which is called using the inverse operation.

a)

opposite

b)

same

c)

addition

d)

multiplication

6.

What is the solution to x + 3.2 = 7.9?

a)

x = 4.7

b)

x = 11.1

c)

x = -4.7

d)

x = 7.9

7.

If k - 5 = -12, what is k?

a)

k = 7

b)

k = -17

c)

k = -7

d)

k = 17

8.

Solve for m: m + 45\frac{4}{5} = 1

a)

m = 1

b)

15\frac{1}{5}

c)

m = −45-\frac{4}{5}

d)

25\frac{2}{5}

9.

Which equation would you solve by adding 0.25 to both sides?

a)

x + 0.25 = 1

b)

x - 0.25 = 1

c)

x = 0.25

d)

x + 1 = 0.25

10.

If z−58=3z-\frac{5}{8}=3 , what is z?

a)

z=58+3z=\frac{5}{8}+3

b)

z = 9

c)

z=3−58z=3-\frac{5}{8}

d)

z = 8

11.

The solution to the equation x - 2.5 = 6.1 is:

a)

x = 8.6

b)

x = 3.6

c)

x = 4.4

d)

x = 9.1

12.

It is important to do the same operation to both sides of an equation because:

a)

it keeps the equation balanced and the equality true.

b)

it makes the equation more complicated.

c)

it changes the value of the variable.

d)

it only affects one side of the equation.

13.

Select the equation that best represents the situation:



 In his career, Mr. Farley scored 11 touchdowns less than Mr. Boyd scored. If Mr. Farley scored 23 touchdowns, how many touchdowns did Mr. Boyd score?

a)

23 −-  11 = s

b)

11s = 23

c)

b ÷\div  11 = 23

d)

b  −-  11 = 23

14.

Javier has saved $55 toward the purchase of an IPOD. The IPOD costs $145. Which equation represents the amount Javier needs to save to by the IPOD?

a)

55 + x = 145

b)

145x = 55

c)

55 - x = 145

d)

145 (55) = x

15.

A chest was resting on the ocean floor 500 ft below the surface. It was lifted to the deck of a ship 16 ft above the surface. How far was the chest lifted?

Which equation matches the scenario?

a)

16x = 500

b)

x - 16 = -500

c)

16x = -500

d)

-500 + x = 16