Free Printable Equations Quiz Review

Worksheets

Equations Quiz Review

Total questions: 58

Worksheet time: 3hrs 52mins

Name

Class

Date

Define coefficient.

the number multiplied by a variable

to replace a value for a variable

a number standing alone

to find the value of an expression

Define constant.

the number multiplied by a variable

to replace a value for a variable

a number standing alone

to find the value of an expression

Define variable

a letter in the alphabet

a letter or symbol standing for an unknown value

a letter to grandma

a letter to Santa

Define the Variable.

c = classes held

m = minutes per class

d = days of classes

w = weeks of classes

Define the Variable.

c = clinics attended

c = cost for a bucket of balls

b = buckets of balls bought

g = number of golfers

Define the variable.

m = miles traveled

c = cost per mile

c = cabs ridden in

t = total cost

Define the variable.

s = students on the field trip

s = students on one bus

b = number of busses used

c = number of cars driven

Define the variable.

c = total cost of membership

c = cost per month

r = registration fee

m = number of months for membership

5x+1=2x-5

x=-2

x=-6

x=3

x=.5

10.

2x-1=3x+8

x=7

x=-9

x=5

x=3

11.

$-118=-5\left(4+7x\right)+7$

$-5$

$-9$

$3$

$-1$

12.

$97=-3\left(6n-5\right)-8$

$-10$

$16$

$-5$

$-2$

13.

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

Add 3 to both sides

Subtract 11 from both sides

Add 11 to both sides

Divide 3 on both sides.

14.

Solve for v.

-3

15.

What is the first step in solving this equation?

subtract 3 to both sides

subtract the 6 - 2

distribute 2

distribute -2

16.

WRITE AN EQUATION

Aliyah had $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost?

24-10=7x

7x- 24=10

7x+ 10=24

10+x=14

17.

³/₄(6x + 2) = 15

18.

-2

-5

-12

19.

-5

-25

20.

-20/9

20/9

-9/20

9/20

21.

-8/3

-7/4

7/4

3/4

22.

Pristine House Cleaners charges $19.85 plus $32 a room. Sparkle House Cleaners charges $61.85 plus $18 a room.

when do they charge the same?

4 rooms

1/3 room

3.5 rooms

3 rooms

23.

What is the solution to this equation?

one solution

no solution

infinite solutions

none of these

24.

What is the solution to the equations?

one solution

no solution

infinite solutions

none of these

25.

What is the definition of no solution?

no matter what constant is substituted in for the variable, the equation is ALWAYS true

no matter what constant is substituted in for the variable, the equation will NEVER be true

only this ONE solution will make the equation true

26.

What is the definition of one solution?

no matter what constant is substituted in for the variable, the equation is ALWAYS true

no matter what constant is substituted in for the variable, the equation will NEVER be true

only this ONE solution will make the equation true

27.

What is the definition of infinite solutions?

no matter what constant is substituted in for the variable, the equation is ALWAYS true

no matter what constant is substituted in for the variable, the equation will NEVER be true

only this ONE solution will make the equation true

28.

What is the 1st step to solving for x?

-2(2x - 4) = 3x - 7

Combine like terms

Move variables to one side

Move constants to one side

Distribute

Solve

29.

Solve:
3x + 15 = 3(x + 5)

No Solution

x = 15

Infinitely Many Solutions

30.

$5\left(2+x\right)=45+5x$

No Solution

Infinite Solutions

$x=35$

$x=55$

31.

-(4x - 9) - x = -5(x - 2)

Infinite Solutions

No Solution

One Solution

32.

Solve: $1\frac{1}{2}g=1\frac{3}{4}$

(*hint: convert the mixed numbers to improper fractions before solving)

$g=\frac{7}{6}$

$g=\frac{21}{8}$

$g=\frac{18}{7}$

$g=\frac{4}{5}$

33.

Solve the equation. Check your solution.

⁵/₃ or 1 ²/₃

²⁴³/₁₂₅ or 1 ¹¹⁸/₁₂₅

1.944

-⁵/₃ or -1²/₃

34.

Solve the equation. Check your answer.
-2.5b = 20.5

8.2

-0.12

0.12

-8.2

35.

Solve the following for n: -2/5(x+10)=3/5x

-20

-9

-4

36.

Solve for m: 3/4(m-4)=9

-12

-18

37.

(5/6)x + (1/6)x = -9

-9

1/9

9/6

38.

True or False: When dividing fractions, it is the same thing as multiplying by its "reciprocal."

False

True

39.

When the 1/2 is distributed to the 4x and the -10 inside the parentheses, the new expression would be:

2x - 8

2x - 10

4x - 5

2x - 5

40.

10 less that half a number is equivalent to 8.

10 - 1⁄2x = 8

1⁄2x + 10 = 8

1⁄2x - 10 = 8

10x - 0.5 = 8

41.

WRITE AN EQUATION
You bought a magazine for $5 and four
erasers. You spent a total of $29. How
much did each eraser cost?

5 + x = 29

-5 - 4x = -29

5x = 29

29 - 5 = -4x

42.

WRITE AN EQUATION

Imani spent half of her weekly allowance playing mini-golf. To earn more money her parents let her wash the car for $4. What is her weekly allowance if she ended with $12?

x/2 + 4 = 12

x/2 - 4 = 12

12 - 4 = x

12 - 4 = -x/2

43.

Rachel and Sharon are splitting up their Pokemon cards. Rachel has 4 fewer than 3 times as many as Sharon. Together they have 100 cards. Which equation could be used to solve for how many cards Sharon had originally?

n + (3n - 4) = 100

n - (3n - 4) = 100

n + (4 - 3n) = 100

4 - 3n = 100

44.

The sum of three consecutive even natural numbers is 48. The greatest of these numbers is

45.

The sum of three consecutive even natural numbers is 72. Find the smallest number

46.

Find three consecutive odd integers whose sum is 75.

(a)

47.

Find two consecutive integers whose sum is -97.

(a)

48.

Which of the following setups would be used to find four consecutive integers?

n
n+2
n+4
n+6

n
2n
4n
6n

n+1
n+2
n+3
n+4

n
n+1
n+2
n+3

49.

Which expressions can be used to represent the sum of 3 consecutive odd integers?

n+1, n+2, n+3

n, n+1, n+3

n, n+1, n+2

n, n+2, n+4

50.

Which property is this an example of?
6 x 7 = 7 x 6

Associative Property of Multiplication

Commutative Property of Multiplication

Inverse Property of Multiplication

Distributive Property

51.

Rewrite (9 x 6) x 5 using the associative property.

270

9 x 30

9 x (6 x 5)

5 x 9 + 5 x 6

52.

Which property is this an example of?
9 x 1 = 9

Identity Property of Multiplication

Commutative Property of Multiplication

Associative Property of Multiplication

Multiplicative Inverse

53.

4 + 3 + (2 + 5) = 4 + (3 + 2) + 5

Commutative Addition

Associative Addition

Commutative Multplication

Associative Multiplication

54.

3(w + 4) = 3w + 12 is an example of...

Inverse Property

Distributive Property

Multiplicative Inverse

Associative Property

55.

What property is this?
-5 + 5 = 0

Inverse of +

Inverse of x

Inverse of the Universe

Zero

56.

9 + 0 = 9

Identity Property of Multiplication

Associative Property of Addition

Identity Property of Addition

Additive Inverse Property

57.

Which property:
⅘ + (-⅘) = 0

Identity Property of Addition

Inverse Property of Addition

Multiplicative Property of 0

Inverse Property of Multiplication

58.

3 x ⅓ = 1

Identity Property of Multiplication

Zero Property

Additive Inverse Property

Multiplicative Inverse Property

Reset

Equations Quiz Review

Total questions: 58

Worksheet time: 3hrs 52mins

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