Free Printable On Step Equations (no fractions)

1.

To undo an operation, you must do its opposite or inverse to both sides of the equation. Match each operation to its inverse.

a)

Addition

1.

Subtraction

b)

Subtraction

2.

Addition

c)

Multiplication

3.

Division

d)

Division

4.

Multiplication

2.

What is the correct step to solve the equation?
$8y=48$

a)

Subtract 8 from both sides.

b)

Divide by 8 on both sides.

c)

Multiply by 8 on both sides.

3.

Choose the correct step to solve the equation.

Then find the solution.

$10=z+6$

a)

4

b)

Subtract 10 from both sides.

c)

16

d)

Subtract 6 from both sides.

e)

Add 6 to both sides.

4.

$q-12=1$

q = (a)

5.

What is the correct step to solve the equation?

$\frac{r}{3}=7$

a)

Multiply by 7 on both sides.

b)

Multiply by 3 on both sides.

c)

Subtract 3 from both sides.

d)

Add 3 to both sides.

6.

$18=\frac{a}{2}$

a = (a)

7.

$11=m-4$

m = (a)

8.

$t-19=2$

a)

Add 19 to both sides.

b)

Subtract 2 from both sides.

c)

Subtract 19 from both sides.

d)

21

e)

17

9.

$30\ =\ 18\ +\ x$

x = (a)

10.

Solve the equation:
x - 2.6 = 4.6

x = (a)

11.

$936=78p$

p = (a)

12.

Which choice models this situation?

Avery participated in a read-a-thon. Mrs. O'Neall pledged $4 for each book read. When it ended, she gave Avery a total of $44. How many books did Avery read?

a)

b - 4 = 44

b)

b + 4 = 33

c)

4b = 44

d)

$\frac{b}{4}=44$

13.

What is the first step to solve for b:

2b = 16

a)

add 2 to both sides

b)

subtract 2 to both sides

c)

multiply 2 to both sides

d)

divide 2 to both sides

14.

Decimal challenge!

Solve the following equation.
$\frac{k}{0.9}=2.7$

(a)

15.

Drew has saved $55 toward the purchase of AirPods. The AirPods cost $145. Which equation represents the amount Drew still needs to save to buy the Airpods?

a)

55 + x = 145

b)

145x = 55

c)

x - 55 = 145

d)

145 (55) = x

16.

Joey and four of his friends went out to eat. They decided to split the bill evenly. Each person paid $11.13. What was the total bill?

Write an equation you could use to solve this equation. Use t as your variable.

a)

$\frac{t}{4}=11.13$

b)

4t = $11.13

c)

$\frac{t}{5}=11.13$

d)

5t = $11.13

17.

Solve for y.

y + 4.6 = 12

(a)

18.

Find the solution.

9 + x = 21

a)

10

b)

12

c)

11

d)

13

19.

Select all the equations that have the same solution as

$44=x+39$

a)

$33=27+x$

b)

$x+11=16$

c)

$4=x-4$

d)

$24=x+19$

e)

$26=x+21$

20.

Challenge! Solve using inverse operations.

$t\div5.4=9.05$

(a)

21.

$\frac{y}{2.78}=9$

y = (a)

22.

Max and some friends shared the cost of a meal. The meal cost $51 and each person contributed $17. How many people share the cost of the meal?

What mistake was made in solving?

a)

The inverse operation needed to solve is multiplication.

b)

The inverse operations needed to solve is division.

c)

The inverse operation needed to solve is addition.

d)

A mistake was not made.

23.

Max and some friends shared the cost of a meal. The meal cost $51 and each person contributed $17. How many people share the cost of the meal?

Now solve.

(a)

On Step Equations (no fractions)

Total questions: 23

Worksheet time: 24mins

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