wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Fractions, Decimals and Equations Review

Total questions: 62

Worksheet time: 3hrs 6mins

Name
Class
Date
1.

Write the improper fraction as a mixed number

23/5

a)

4 3/5

b)

4 5/3

c)

5 3/4

d)

4 3/4

2.

Write the improper fraction as a mixed number

36/4

a)

9 1/4

b)

9 3/4

c)

8 4/4

d)

9

3.

Write the improper fraction as a mixed number

22/3

a)

7 2/3

b)

7 1/3

c)

7 1/4

d)

7 3/4

4.

What fractions corresponds with point B

a)

4/2

b)

1 3/8

c)

9/4

d)

1/2

e)

3 3/4

5.

Find the equivalent fraction of 16/20

a)

8/12

b)
4/5
c)
1/2
d)

16/21

6.

Write the mixed number as an improper fraction

5 67\frac{6}{7}  

a)

377\frac{37}{7}  

b)

417\frac{41}{7}  

c)

376\frac{37}{6}  

d)

416\frac{41}{6}  

7.

Write the mixed number as an improper fraction

3 49\frac{4}{9}  

a)

219\frac{21}{9}  

b)

214\frac{21}{4}  

c)

314\frac{31}{4}  

d)

319\frac{31}{9}  

8.

Simplify the fraction into lowest term.

a)

6/8

b)

4/5

c)

2/3

d)

3/4

9.
What operation in fractions do you need to find the reciprocal?
a)
Add
b)
Subtract
c)
Multiply
d)
Divide
10.
What is the rule for dividing fractions? 
a)
keep, change, opposite
b)
keep, change, flip
c)
keep, keep, change
d)
keep, keep, opposite
11.
a)

13/3

b)

13/27

c)

3/13

d)

1/3

12.
What is the product of these fractions in lowest terms?
a)
20/50
b)
10/25
c)
2/5
d)

3/5

13.

1720  35\frac{17}{20}\ -\ \frac{3}{5}  

a)

14\frac{1}{4}  

b)

11  

c)

15\frac{1}{5}  

d)

120\frac{1}{20}  

14.
Find the product.  Then, simplify.
a)
10/18
b)
5/9
c)

5/3

d)

5/4

15.

Kelly has $20. She spends $2.15 on a Slurpee and $6.58 on candy. How much money does Kelly have left?

a)

$28.73

b)

$11.27

c)

$17.85

d)

$13.42

16.
Find the solution for
23.734 + 10.348
a)
34.82
b)
33.072
c)
13.386
d)
34.082
17.
Find the solution for
5.8 + 4.50
a)
1.3
b)
9.85
c)
10.3
d)
9.3
18.
7.05 - 4.6 =
a)
2.45
b)
3.65
c)
11.65
d)
11.45
19.

Oliver bought 7 bags of candy. Each bag costs $1.50. How much money did he have to pay?

a)

$7.50

b)

$8.50

c)

$10.50

d)

$105.00

20.

76 X 1.6 =

a)

948.5

b)

121.6

c)

645.5

d)

741.2

21.

Calculate

1.08÷4

a)

2.7

b)

0.27

c)

2.07

d)

.20

22.
Taylor purchased 1.2 pounds of salad. If she divides the salad into 4 different containers, how much salad would be in each container?
a)
0.03
b)
0.3
c)
0.8
d)
4.8
23.

Find the value of the variable: m + 4 = 12

a)

16

b)

8

c)

48

d)

3

24.

Find the value of the variable: m - 4 = 12

a)

16

b)

8

c)

48

d)

3

25.

Find the value of m: m5 = 10\frac{m}{5}\ =\ 10  

a)

2

b)

5

c)

50

26.

Find the value of m: 5m = 10

a)

50

b)

2

c)

5

27.

What is the inverse of addition?

a)

multiplication

b)

division

c)

subtraction

d)

addition

28.

What is the inverse of multiplication?

a)

Addition

b)

Subtraction

c)

Division

29.

What is the inverse of division?

a)

Addition

b)

Multiplication

c)

Subtraction

30.

What is the inverse of subtraction?

a)

Division

b)

Multiplication

c)

Addition

31.

Find the value of a: 12 = a412\ =\ \frac{a}{4}  

a)

48

b)

3

c)

8

32.

Find the value of the variable: 12x = 10\frac{1}{2}x\ =\ 10  

a)

5

b)

20

c)

4

33.
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
34.

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

a)

t - 9 = 25

b)

t + 9 = 25

c)

9t = 25

d)

t/9 = 25

35.

Which choice models this situation?


Last week, Tina worked 35 hours in 5 days. She worked the same number of hours each day. How many hours did she work each day?

a)

h - 5 = 35

b)

h + 5 = 35

c)

5h = 35

d)

h/5 = 35

36.

Which choice models this situation?


Jack needed new pencils for school today. He took 6 pencils from a new box of pencils. If there are 18 pencils left in the box, how many pencils were in the brand new box?

a)

p - 6 = 18

b)

p + 6 = 18

c)

6p = 18

d)

p/6 = 18

37.

Becky is preparing for her younger sister's birthday party. She splits a jar of lollilops evenly among 6 goody bags. Each bag ends up with 4 lollipops.


Which equation can you use to find the number of lollipops n in the jar?

a)

n/6 = 4

b)

n - 4 = 6

c)

4n = 6

d)

n + 6 = 4

38.

Which choice models this situation?


Anna participated in a read-a-thon. Mr. Cole pledged $4 per book and gave Anna $44. How many books did Anna read?

a)

b - 4 = 44

b)

b + 4 = 33

c)

4b = 44

d)

b/4 = 44

39.

Select the expression.

a)

3+5=8

b)

3+5

c)

3+5>7

d)

3+5<10

40.

Select the equation.

a)

6+x=10

b)

6+x

c)

6+x<10

d)

6+x>10

41.

A variable can be defined as?

a)

a letter that represents an unknown number

b)

a number

c)

the number in front of a letter

d)

part of an expression

42.

Determine the variable in the expression.

72+x57^2+x-5  

a)

7

b)

2

c)

x

d)

5

43.

A constant can be defined as?

a)

a letter that represents an unknown number

b)

a number

c)

the number in front of a letter

d)

part of an expression

44.

Determine the constant in the expression.

2x52x-5  

a)

7

b)

2

c)

x

d)

5

45.

A coefficient can be defined as?

a)

a letter that represents an unknown number

b)

a number

c)

the number in front of a letter

d)

part of an expression

46.

Determine the coefficient in the expression.

7x+537x+5^3  

a)

7

b)

x

c)

5

d)

3

47.

A term can be defined as?

a)

a letter that represents an unknown number

b)

a number

c)

the number in front of a letter

d)

part of an expression

48.

Determine the number of terms in the expression.

7x+5317x+5^3-1  

a)

1

b)

2

c)

3

d)

4

49.

A product can be defined as?

a)

answer to a multiplication problem

b)

answer to a subtraction problem

c)

answer to an addition problem

d)

answer to a subtraction problem

50.

Select all the ways to express a product in algebra?

a)

535\cdot3

b)

5(3)5\left(3\right)

c)

5y5y

d)

105\frac{10}{5}

51.

A sum can be defined as?

a)

answer to an addition problem

b)

answer to a subtraction problem

c)

answer to a multiplication problem

d)

answer to a division problem

52.
The _______ of 6 and 8 is 48.
a)
sum
b)
difference
c)
product
d)
quotient
53.
5 is the _________ of 20 and 4.
a)
sum
b)
difference
c)
product
d)
quotient
54.
The answer when you subtract 2 or more numbers is called the ______.
a)
sum
b)
product
c)
difference
d)
quotient
55.
Write an algebraic expression for:
 35 decreased by a number
a)
35+n
b)
35-n
c)
n-35
56.
The product of five and six
a)
5 + 6
b)
5 - 6
c)
5 x 6
57.
Four times the sum of 7 and w
a)
4 x w
b)
4(7 + w)
c)
47w
58.
8 (n - 3)
a)
Eight minus n and three
b)
Eight times the difference of n and three
c)
The addition of n and 3
59.

"Subtracted from" and "less than" are terms that mean you need to "turn around" or "flip" the terms around.

a)

True

b)

False

60.

Translate to an algebraic expression.

35 decreased by a number

a)

35 + n

b)

35 - n

c)

n - 35

d)

n + 35

61.
4 less than x 
a)
4 - x
b)
x - 4
c)
4x
d)
-4x
62.

Translate this phrase into an algebraic expression.

8 less than the product of 4 and a number

Use the variable m to represent the unknown number.

a)

8 − 4m

b)

8m − 4

c)

8m + 4

d)

4m − 8