Free Printable Equations Review

Worksheets

Equations Review

Total questions: 61

Worksheet time: 6hrs 56mins

Name

Class

Date

4) Solve this equation

a - 2.1 = 5.8

a = 7.9

a = 3.7

a = 5.8

None of these match my answer

10) Please solve this equation

m - 14 = 32

m = 18

m = 2 ¹/₈

m = 424

None of these match my answer

13) Please solve this equation

23 = x + 7

x = 16

x = 30

x = 161

None of these match my answer

14) Please solve this equation

1.2x = 9.6

x = 8

x = 10.8

x = 8.4

None of these match my answer

7) Please solve this equation

7x = 84

x = 77

x = 91

x = 588

None of these match my answer

4) Please solve this equation

^c/₉ = 8

c = 1

c = 17

c = ⁸/₉

None of these match my answer

What is the inverse operation of division?

Division

Multiplication

Addition

Subtraction

The variable, k, is being divided by 11. How should you show your work to isolate the variable?

Divide both sides by 11

Multiply both sides by 11.

Add 11 to both sides.

Subtract 11 to both sides.

What would be the best first step to solving the equation?
-6x=-24

multiply both sides by -6

divide both sides by -6

add 6 to both sides

subtract -6 from both sides

10.

Solve for x:

x = 20

x = 7

x = 10

x = 3

11.

Word that means opposite. We use this word when talking about "un-doing" an equation to solve it.

Reciprocal

Operation

Inverse

quadrant

12.

10x = 90

x = 80

x = 100

x = 10

x = 9

13.

w + 6 = 11

w = -5

w = 17

w = 5

w = -5

14.

What is the opposite operation of multiplication?

addition

subtraction

multiplication

division

15.

What is another word for equivalent.

Check ALL that apply

Opposite

Equal

The Same

Multiply

16.

2y+5=17

y=16

y=1

y=6

y=24

17.

10n-8=32

n=4

n=14

n=41

n=400

18.

4x + 7 = 23

x = 16

x = 4

x = 9

x = 12

19.

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

Add 6 to both sides and divide both sides by 5

Add 6 to both sides and multiply both sides by 5

Subtract 6 from both sides then multiply both sides by 5

Subtract 6 from both sides then divide both sides by 5

20.

33 = 4a - 7

a=-10

a=10

a=4.5

21.

4(x + 3) = 24

22.

Solve for w:
-6w + 1 = -11

w = 2

w = 1.2

w = 12

w = -2

23.

Solve for t.

-4 = 2t - 2

t = -1

t = 1

t = 4

t = 0

24.

Solve for a

a = -2

a = -6

a = 3

a = 15

25.

Solve for w.

$\frac{w}{3}\ +\ 6\ \ =\ \ 8$

w = 2

w = 4

w = 6

w = 8

26.

$\frac{1}{4}x\ +3\ =\ -2$

x = 20

x = -20

x = 4

x = -4

27.

$10\ =\ \frac{1}{2}x+4$

x = -3

x = 3

x = -12

x = 12

28.

Solve for f:
f - 4 = 6f + 26

f = -5

f = 5

f = 6

f = -6

29.

Solve for x:
5x - 14 = 8x + 4

x = 6

x = -6

x = -18/13

x = 10/3

30.

Solve for x:
5x - 14 = 8x + 4

x = 6

x = -6

x = -18/13

x = 10/3

31.

Solve the equation:
7x - 4 = 3 + 8x

x = 7

x = -7

x = 2/7

x = 11

32.

Solve the equation
4x - 5x + 9 =5x - 9

x = -3

x = 9

x = 3

x = -9

33.

14p - 8 = 22 + 20p

-5

-30

34.

The goal of solving a one, two, or multi-step equations is to:

Find the constant

Find the coefficient

Find the value of the variable

Be confused

35.

2x = x + 3

36.

7x = 3x + 24

37.

"Fewer" is a key phrase for...

Addition

Subtraction

Multiplication

Division

38.

"Each" is a key phrase for...

Addition

Subtraction

Multiplication

Division

39.

"Increased by" is a key phrase for...

Addition

Subtraction

Multiplication

Division

40.

Blind company A charges $25.00 to install blinds for one room and $5.00 for each additional window. Blind company B charges $30.00 to install blinds in one room and $4.00 for each additional window. Write an equation to determine how many blinds would need to be installed for the price to be equal.

25 + 5x = 30 + 4x

25 - 5x = 30 - 4x

30 - 25 = 4x + 5x

25x + 5 = 30x + 4

41.

Carol wants to join a dance studio. Studio A charges $100.00 for the entry fee and $45.00 per class, while Studio B charges $125.00 for the entry fee and $30.00 per class. Write an equation to determine how many classes would need to be taken for the price to be equal?

125 - 100 = 45x + 30x

100x + 45 = 125x + 30

100 + 45x = 125 + 30x

100 - 45x = 125 - 30x

42.

Mary has been offered two jobs. Job A has a starting salary of $36,000 and a raise of $1500 every year. Job B has a starting salary of $29,000 and a raise of $2500 every year. Write an equation to determine how many years would Mary's salary be the same at both companies.

36,000x + 1,500 = 29,000x + 2,500

36,000 - 29,000 = 1,500x + 2,500x

36,000 - 1,500x = 29,000 - 2,500x

36,000 + 1,500x = 29,000 + 2,500x

43.

Select the situation that could be modeled by: 2x + 4 = 3x

The number of students in the 2-year-old class and the 4-year-old class equals the number of students in the 3-year-old class. How many students are in each class?

Cade bought 2 books for $4 each and Clara bought 3 books. How much did Clara pay?

Dean is 4 more than twice his brother’s age. He is also 3 times his brother’s age. How old is Dean’s brother?

44.

I can join video club A for $25.00 and rent videos for $1.00 each. Or, I can join video club B for $15.00 and rent videos for $2.00 each. Write an equation that could be used to determine how many rentals would be needed for the price to be equal.

25 - x = 15 - 2x

25 + 15 = x + 2x

25x + 1 = 15x + 2

25 + x = 15 + 2x

45.

Mike is driving a boat at 12 mph and is increasing his speed by 0.2 mph each second. Hank is driving a boat at 25 mph and is decreasing his speed by 0.7 mph each second. Which of the following equations could be used to determine x, the number of seconds it will take for the boats to be traveling the same speed?

12x + 0.2 = 25x - 0.7

12 - 0.2x = 25 + 0.7x

12.2x = -25.7x

12 + 0.2x = 25 - 0.7x

46.

Simplify the expression: 7v + 2 + 12 + 2v

23v

9 + 14v

9v + 14

47.

5a + 2a + 2a

48.

2f + f

49.

4(a + 3) = -32

-11

-44

-20

-8

50.

-15 = 5a +12- 2a + 6

-11

-3

51.

-(n - 8) = -2

-10

-6

52.

Solve: 7x = 3x + 24

53.

Solve the equation: 4x - 5x + 9 = 5x - 9

x=3

x=-3

x=-9

x=9

54.

In order to solve an equation, we must get variables on one side of an equation, and constants on the opposite side.

False

True

55.

Solve: 2(4x-3) - 8 = 4 + 2x

x=5/3

x=3

x=1

x=2

56.

Solve:
3(x - 2) = 18

6.7

-4

57.

8v - 4(v + 8) = 8

-4

58.

6x + 3(-x + 11) = 3

-10

-15

59.

What is the first step in solving a multi-step equation?

Distribution (If necessary)

Combine Like Terms

Move the variable

Move the constant

60.

What is the second step in solving multi-step equations?

Distribution (if necessary)

Combine Like terms

Move Variable

Solve! With SADMEP

61.

Solve

-19 = -8 (-4+a) - (2a+1)

-1

-5

Reset

Equations Review

Total questions: 61

Worksheet time: 6hrs 56mins

Similar Resources on Wayground