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Worksheets

Expressions practice

Total questions: 80

Worksheet time: 5hrs 4mins

Name
Class
Date
1.

(5)22(9)+6\left(-5\right)^2-2\left(-9\right)+6  



(a)  

2.

3×10+8423\times10+8-4^2  



(a)  

3.

(9)(8)+2×42\left(-9\right)-\left(-8\right)+2\times4^2  



(a)  

4.

(3)32+8÷(8)\left(-3\right)^3-2+8\div\left(-8\right)  



(a)  

5.

8÷(4)×(6)2+78\div\left(-4\right)\times\left(-6\right)^2+7  



(a)  

6.

4×(8)+6(2)34\times\left(-8\right)+6-\left(-2\right)^3  



(a)  

7.

10×5(6)2+(8)10\times5-\left(-6\right)^2+\left(-8\right)  



(a)  

8.

(5)2×3÷5+9\left(-5\right)^2\times3\div5+9  



(a)  

9.

(10÷(5)(2))×(3)3\left(10\div\left(-5\right)-\left(-2\right)\right)\times\left(-3\right)^3  



(a)  

10.

4×(6)÷8+334\times\left(-6\right)\div8+3^3  



(a)  

11.
Solve the following:
5 - 62 ÷ 4 - 3
a)
1
b)
-10.75
c)
-31
d)
-7
12.
7[12 − (6 − 2) ÷ 4]
a)
7
b)
77
c)
14
d)
0
13.
4 + [52 + (-4 - 1)] ÷ 10
a)
2.4
b)
4
c)
6
d)
7
14.
-42 / (-6) + 5 - 8
a)
4
b)
10
c)
-10
d)
-4
15.
b2 + 4
when b = 3
a)
10
b)
12
c)
13
d)
11
16.
Evaluate when a = 15:
2(a - 5) + 2
a)
22
b)
27
c)
14
d)
7
17.
6a - 3d
when a = 1, d = 2
a)
3
b)
12
c)
1
d)
0
18.
2x + 3 + x2; for x = 4
a)
17
b)
27
c)
19
d)
25
19.
8y + 12 - 2z
for y = 4 and z = 2
a)
40
b)
20
c)
84
d)
34
20.
Evaluate 3x + 8   if x = 2
a)
13
b)
14
c)
15
d)
16
21.
Evaluate when x = 8:
2x + x - 10
a)
34
b)
22
c)
14
d)
24
22.
Evaluate the expression when x = 3. 
2x2 - 5
a)
31
b)
12
c)
7
d)
13
23.
Evaluate when x = 2 and y = 5:
2 + (12 - 5x) ⋅ 2y
a)
22
b)
40
c)
142
d)
-86
24.
a- b2
Evaluate if a=4 and b =2
a)
4
b)
20
c)
-4
d)
12
25.

(18 - ab) + 4b if a = -2 and b = -5

a)

8

b)

28

c)

48

d)

-12

26.

Simplify the following expression if x = 8 and y = -3


x2 - xy

a)

88

b)

40

c)

-8

d)

-24

27.

Simplify the expression if m = -7 and n = 4:


5m + 9n

a)

71

b)

1

c)

-1

d)

-71

28.

Evaluate the expression for x = −4 and y = 4.

(x + 17) + (17 − y)

a)

21

b)

42

c)

0

d)

26

29.
Identify a constant in the expression
3x + 2y + 7
a)
3
b)
2y
c)
7
d)
2
30.
How many terms are in the expression
3x + 2y + z
a)
5
b)
2
c)
4
d)
3
31.
Identify the variables in the expression
3x +  9
a)
x
b)
y
c)
9
d)
3x
32.
How many terms are in the expression
3a + 2b + c + 100
a)
3
b)
4
c)
5
d)
6
33.
Identify the constant in the expression
4y + 2 + x
a)
x
b)
y
c)
4y
d)
2
34.
A number with no variable attached is called a  _____.
a)
coefficient
b)
constant
c)
variable
d)
term
35.
The number before a variable is the _____.
a)
term
b)
constant
c)
coefficient
d)
variable
36.
A letter that represents a number is called a _____.
a)
variable
b)
coefficient
c)
constant
d)
term
37.
How many coefficients are in expression?
a)
1
b)
2
c)
3
d)
4
38.
Find the coefficient in the algebraic expression.
a)
x
b)
4
c)
5
d)
9
39.
List the terms in this expression.
7x-6+8
a)
7x & 8
b)
7
c)
7, 6, 8
d)
7x, 6 & 8
40.
How is the number 9 best described in the expression
9m + 3n + 4
a)
coefficient
b)
variable
c)
constant
d)
term
41.
How many terms are in the following expression?
 7y  + 3 - 7k  -2
a)
2
b)
7
c)
4
d)
3
42.
x,y,a,s,t...  These are called
a)
terms
b)
variables
c)
constants
d)
coefficients
43.
What is 8 in the following expression?
72B - 8 + 9h + 2
a)
constant
b)
variable
c)
expression
d)
coefficient
44.

Which word(s) represent adding in a word problem? Check ALL that apply.

a)

Sum

b)

Product

c)

Increase

d)

Total

e)

Quotient

45.
a number added to 19
a)
19-n
b)
19+n
c)
19/n
d)
19n
46.

Which of the following words represent subtraction? (Check ALL that apply)

a)

Increase

b)

Less than

c)

Difference

d)

Quotient

47.
Subtract a number from 10
a)

n - 10

b)

10 + n

c)

10n\frac{10}{n}

d)

10 - n

48.
a number decreased by 12
a)

12 - n

b)

n12\frac{n}{12}

c)

n - 12

d)
12n
49.

65 less than a number

a)

65 - n

b)

n - 65

50.

Which of the following words represent multiplication? (Check ALL that apply)

a)

Product

b)

Quotient

c)

Sum

d)

Triple

e)

Area

51.

the product of a number and eight

a)

x + 8

b)

x - 8

c)

8x

d)

8/x

52.

The total of twice a number and six.

a)

2x + 6

b)

2x - 6

c)

2(x + 6)

d)

2x(6)

53.

Four times a number increased by 5 is

a)

5 + 4n

b)

5 x 4n

c)

5(4n)

d)

4n - 5

54.

9 multiplied by the difference of x and 5

a)

9x - 5

b)

9(x - 5)

c)

9(5 - x)

d)

9 - 5x

55.

Which of the following words represent division? (Check ALL that apply)

a)

Product

b)

Quotient

c)

Sum

d)

Shared Equally

e)

Difference

56.

The quotient of a number and 20.

a)

x20\frac{x}{20}

b)

20x\frac{20}{x}

c)

20x

d)

x + 20

57.

14 less than a number divided by 3.

a)

14x314-\frac{x}{3}

b)

x314\frac{x}{3}-14

c)

143x14-\frac{3}{x}

d)

3x14\frac{3}{x}-14

58.

Jamal helped his grandmother plant her vegetable garden. He planted 3 rows of zucchini seeds and 4 rows of yellow squash seeds. Each row had s seeds. Which expression represents how many seeds Jamal planted in all?

a)

3s + 4s

b)

3s + 4

c)

4s + 3

d)

34s

59.

If m represents the amount of money Zoe had, which expression represents how he spent $28?

a)

m  28m\ -\ 28

b)

m + 28m\ +\ 28

c)

28m28m

d)

m28\frac{m}{28}

60.

If g represents Edna’s grade, which expression shows that she earned 5 points extra credit?

a)

g + 5g\ +\ 5

b)

g  5g\ -\ 5

c)

5g5g

d)

g5\frac{g}{5}

61.

If p represents the points Kia scored in a game, which expression shows how she tripled her point total?

a)

3p3p

b)

3  p3\ -\ p

c)

3 + p3\ +\ p

d)

p3\frac{p}{3}

62.

If c represents the cookies the Joe bought, which expression shows how much he split between himself and 3 siblings?

a)

c4\frac{c}{4}

b)

4c4c

c)

c + 4c\ +\ 4

d)

c  4c\ -\ 4

63.

Polly, Jack, and Cara went to a craft store to buy special beads to make friendship bracelets. Each friend plans to put s star-shaped beads on their bracelet. Which expression represents how many star-shaped beads the friends should buy?

a)

3s3s

b)

s + 3s\ +\ 3

c)

s  3s\ -\ 3

d)

s3\frac{s}{3}

64.

For a big dinner, Hayley needs to extend her dining room table. Without the extra piece, the table is 6 feet long by 3 feet wide. Extending it increases the length e feet. Which expression represents the area of the table with the extension?

a)

3(6 + e)3\left(6\ +\ e\right)

b)

36e

c)

3 + 6e

d)

e6 + 3\frac{e}{6}\ +\ 3

65.

Tiana went to Game Stop to purchase a gaming system. They had a special promotion where for a limited time systems were half the price. She also had a coupon for $25 dollars off the sale price. If g represents the game system, which expression represents the sale price along with the coupon?

a)

g2  25\frac{g}{2}\ -\ 25

b)

g2+25\frac{g}{2}+25

c)

2g  252g\ -\ 25

d)

g252\frac{g}{25}-2

66.

Luke's parents hired a clown for his birthday party. The clown charges $100 plus an additional $20 per hour. If h represents the hours, which expression represents how much Luke's parents spent on the clown?

a)

100 + 20h100\ +\ 20h

b)

100h + 20100h\ +\ 20

c)

100 +h20100\ +\frac{h}{20}

d)

100 + h100\ +\ h

67.

Kam earned 22 extra credit points. Keith earned e fewer extra credit points than Kam. Type an expression that shows how many extra credit points Keith earned.

(a)  

68.

Kimi has b buttons. Scott has 72 more buttons than Kimi. Type an expression that shows how many buttons Scott has.

(a)  

69.

The debate team bought 18 matching T-shirts to split among its members. Each member of the team will get t T-shirts. Choose the expression that shows how many people are on the debate team.

a)

18t\frac{18}{t}

b)

18t

c)

18 + t

d)

18  t18\ -\ t

70.
A(n) __________________ consists of one or more numbers, variables, and operations. 
a)
numeric expression
b)
term
c)
variable
d)
algebraic expression
71.

A(n) __________________ is a number and/or variable that is separated by addition or subtraction.

a)

variable

b)

term

c)

coefficient

d)

expression

72.
A _____________ is a symbol, usually a letter that stands for a number. 
a)
coefficient
b)
algebraic expression
c)
variable
d)
term
73.

Use the distributive property to simplify the expression.

5(a + 6)

a)

5a + 6

b)

a + 30

c)

5a + 30

d)

5a - 30

74.

Use the distributive property to simplify the expression.

2(7c - 8)

a)

14c - 16

b)

14c + 16

c)

7c - 16

d)

c - 16

75.

Use the distributive property to simplify the expression.

3(2c - 5)

a)

6c - 15

b)

6c + 15

c)

6c + 15

d)

-6c - 15

76.

Simplify the expression by combining like terms.

8a+4b+2c-3b+a

a)

9a+b+2c

b)

10a+7b+c

c)

13abc

d)

18abc

77.

Simplify the expression.

5(3+5x-1)

a)

25x+10

b)

15+25x

c)

25x+15-1

d)

25x+2

78.

Simplify the expression

29x+8(4y-2x)

a)

13x+32y

b)

27x+12y

c)

31x+32y

d)

13x-32y

79.

Simplify the expression

8(2x+3)-13

a)

16x+11

b)

16x

c)

24x+41

d)

4-24x

80.

Simplify the expression.

6(2a+5b)+3(a-8b)

a)

15a+6b

b)

21ab

c)

5a

d)

15a-6b