Free Printable Solving Equations & Tiles/Modeling (One-Step & Two-Step)

1.

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

2.

a)

x = 20

b)

x = 7

c)

x = 10

d)

x = 3

3.

What equation matches this situation?
Robyn had some video games then bought 4 more. Now she has a total of 10 games.

a)

v - 4 = 10

b)

v + 4 = 10

c)

10 - 4 = v

d)

Answer not Given

4.

What is the first step to solving this equation?

a)

add -8 to both sides

b)

subtract -8 to both sides

c)

Multiply -8 to both sides

d)

divide -8 to both sides

5.

What what is the inverse operation of subtraction?

a)

addition

b)

subtraction

c)

multiplication

d)

division

6.

What is the inverse operation of division?

a)

Division

b)

Multiplication

c)

Addition

d)

Subtraction

7.

What is the inverse operation of division?

a)

Division

b)

Multiplication

c)

Addition

d)

Subtraction

8.

What would be the best first step to solving the equation?

a)

multiply both sides by 3

b)

multiply both sides by 4

c)

divide both sides by 3

d)

divide both sides by 4

9.

In an equation or inequality, you want to get the variable...

a)

on one side

b)

to disappear

c)

by itself

10.

To Solve the Equation Below, you'd
x - 62 = 123

a)

add 62 to each side

b)

subtract 62 from each side

c)

multiply each side by 62

d)

Add 123 to each side

11.

To Solve the Equation Below, you'd
x - 62 = 123

a)

add 62 to each side

b)

subtract 62 from each side

c)

multiply each side by 62

d)

Add 123 to each side

12.

What is your first step when you solve x + 5 = 12

a)

Add 5 to 5 and add 5 to 5 to 12

b)

Subtract 5 from 5 and subtract 5 from 12

c)

Subtract 12 from 12 and subtract 12 from 5

d)

Add 12 to 12 and add 12 to 5

13.

What is the inverse operation needed to solve for p?
765 = p - 254

a)

subtraction

b)

addition

c)

multiplication

d)

division

14.

-6x = 30

a)

x = - 5

b)

x = 24

c)

x = 5

d)

x = 36

15.

Which choice models this situation? William needs to sell 25 Husky Cards for a fundraiser by Friday. So far, he has sold 9 cards. How many tickets does he still need to sell?

a)

t - 9 = 25

b)

t + 9 = 25

c)

9t = 25

d)

t/9 = 25

16.

Which choice models this situation? William needs to sell 25 Husky Cards for a fundraiser by Friday. So far, he has sold 9 cards. How many tickets does he still need to sell?

a)

t - 9 = 25

b)

t + 9 = 25

c)

9t = 25

d)

t/9 = 25

17.

Which choice models this situation?

Last week, James worked 35 hours in 5 days on the farm. He worked the same number of hours each day. How many hours did he work each day?

a)

h - 5 = 35

b)

h + 5 = 35

c)

5h = 35

d)

h/5 = 35

18.

Which choice models this situation?

At ACHI, there are 5 art classes with 24 students per class. How many students altogether are in the art classes?

a)

s - 5 = 24

b)

s + 5 = 24

c)

5s = 24

d)

s/5 = 24

19.

$\frac{x}{13}=3$

a)

$x=16$

b)

$x=39$

c)

$x=-10$

d)

$x=\frac{3}{13}$

20.

n-1=3

a)

$n=2$

b)

$n=3$

c)

$n=19$

d)

$n=4$

21.

x-20=-10

a)

$x=-200$

b)

$x=-\frac{1}{2}$

c)

$x=-30$

d)

$x=10$

22.

-7n=-63

a)

$n=-56$

b)

$n=-70$

c)

$n=9$

d)

$n=-9^{ }$

23.

$\frac{r}{10}+4=5$

a)

r=10

b)

r=3

c)

r=7

d)

r=-6

24.

3y-2=-29

a)

y=9

b)

y=-9

c)

y=11

d)

y=-9

25.

4w-9=-9

a)

w=45

b)

w=0

c)

w=2

d)

w=7

26.

-12a+4=100

a)

-8

b)

12

c)

8

d)

-12

27.

$6+\frac{x}{2}=4$

a)

-4

b)

4

c)

20

d)

-20

28.

$-15=-4t+5$

a)

-5

b)

2

c)

5

d)

-2

29.

$-6=\frac{x}{2}-10$

a)

-32

b)

8

c)

32

d)

-8

30.

$-6=\frac{x}{2}-10$

a)

-32

b)

8

c)

32

d)

-8

31.

2r+10=-2

a)

4

b)

-4

c)

6

d)

-6

32.

What is the first step to solve this equation:
11 - 3x = 44

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

33.

The steps in solving 5b - 6 = 24 are:

a)

Add 6 to both sides and divide both sides by 5

b)

Add 6 to both sides and multiply both sides by 5

c)

Subtract 6 from both sides then multiply both sides by 5

d)

Subtract 6 from both sides then divide both sides by 5

34.

6. -3x + 5 = -13

a)

x = -5

b)

x = 2

c)

x = -6

d)

x = 6

35.

The goal of solving two-step equations is to:

a)

francine

b)

Find the coefficient

c)

Find the value of the variable

36.

What is the first step in solving
2y + 17 = 55

a)

Subtract 17

b)

Add 17

c)

Multiply by 2

d)

Divide by 2

37.

What does isolate the variable mean?

a)

Make sure the variable is not alone.

b)

Get the variable by itself.

c)

Make the variable do a dance.

d)

Double the variable

38.

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

39.

What is the first step to solve this equation:
11 - 3x = 44

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

40.

4x + 7 = 23

a)

x = 16

b)

x = 4

c)

x = 9

d)

x = 12

41.

Which equation below represents the algebra tiles?

a)

$5=-2-2x$

b)

$-5=-1-x$

c)

$5=-1-x$

d)

$-5=-2-2x$

42.

Which equation below represents the algebra tiles?

a)

$3x-2=4$

b)

$-3x-2=4$

c)

$3x+2=4$

43.

What equation is represented by these tiles?

a)

$-2x+3=-6$

b)

$2x+3=6$

c)

$-2x+3=6$

44.

Solve for x if:

(a)

45.

What is the FIRST step to solve this equation?

a)

divide each side by 3

b)

add 9 to each side

c)

multiply each side by 3

d)

subtract 9 from each side

46.

What is the value of a?

a)

a = 16

b)

a = 22

c)

a = 2

47.

What is the value of m?

a)

m = -18

b)

m = 9

c)

m = -9

d)

m = 18

48.

What is the value of x when:

a)

x = 18

b)

x = 8

c)

x = 3

49.

What is the value of x when:

(a)

50.

What is the FIRST step in solving this equation?

a)

subtract 3 from each side

b)

add three to each side

c)

subtract 2 from each side

d)

add 2 to each side

51.

Write an equation to represent the tiles

a)

3𝑥 + 4 = 4

b)

4𝑥 − 3 = 4

c)

3𝑥 = 4𝑥

d)

4𝑥 + 3 = 4

52.

Write an equation to represent the tiles

a)

3𝑥 + 2 = 3

b)

2𝑥 = 3

c)

5𝑥 = 3

d)

3𝑥 − 2 = 3

Solving Equations & Tiles/Modeling (One-Step & Two-Step)

Total questions: 52

Worksheet time: 3hrs 36mins

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