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expressions practice test

Total questions: 36

Worksheet time: 55mins

Name
Class
Date
1.

3x - 7 + 2x

a)

5x - 7

b)

5x

c)

5x + 7

d)

7x

2.

Simplify the following expression:
2n -5 +3n -2=

a)

5n-7

b)

5n-3

c)

n

d)

5n -3

3.

Click on the name of the red part of the algebraic expression:


4x -12

a)

constant

b)

variable

c)

coefficient

d)

exponent

4.

Click on the name of the red part of the algebraic expression:


4 - 5x +9

a)

variable

b)

constant

c)

base

d)

coefficient

5.

How many terms are in the expression below:
2y - 5 + 3z + 7 - 4y

a)

four

b)

seven

c)

five

d)

six

6.

Simplify:

3(5x + 2) + 6x

a)

21x + 6

b)

15x + 6

c)

21x + 2

d)

15x + 12

7.

Simplify:

-(4x - 6)

a)

-4x -6

b)

4x - 2

c)

-4x + 6

d)

4x - 6

8.

Simplify:

5(y + 2)

a)

5y + 10

b)

5y - 10

c)

5y + 2

d)

5y - 2

9.

What word phrase can you use to represent "5x + 2"? (more than one answer is correct)

a)

5 times a number plus 2

b)

2 more than the product of 5 and a number

c)

a number times the sum of 5 and 2

d)

the sum of 5 times a number and 2

10.

Translate this phrase into an algebraic expression.

2 times the difference of a number and 11

Use the variable t to represent the unknown number.

a)

2t - 11

b)

2(t - 11)

c)

2(t / 11)

d)

2 x t - 11

11.

Translate this phrase into an algebraic expression.

The product of thirty and a number

Use the variable m to represent the unknown number.

a)

30*m

b)

30-m

c)

m+30

d)

m/30

12.
Evaluate when a = 15:
2(a - 5) + 2
a)
22
b)
27
c)
14
d)
7
13.

Calculate 3a + 5b 
if a = 7     and    b = -8

a)

29

b)

41

c)

56

d)

-11

14.

What is the difference between an expression and an equation

a)

Expressions have an equal sign and equations do not

b)

Equations have an equal sign and expressions do not

15.

Formulate an algebraic expression for "7 less than a number". 

a)

x - 7

b)

7x

c)

x + 7

16.

Evaluate 3n + 4 if n = -7

a)

21

b)

25

c)

-17

17.

Evaluate -2m2 if m = 7

a)

98

b)

-98

c)

49

d)

51

18.
What is a variable? 
a)
A number such as x that represents an un specified number
b)
a number that varies or changes throughout a problem
c)
A number
d)
a letter
19.

x + x + x + x

(a)  

20.

Use the distributive property to find an equivalent expression: 3(4g + 2)

a)

12g + 2

b)

12g + 6

c)

12g + 8

d)

24g

21.

Choose an expression that matches the following sentence:

The sum of 6 times a number plus 4.

a)

6x +4

b)

6x+4\frac{6}{x}+4^{ }

c)

6x -4

d)

4 + 6 + x

22.

5x + 6y2x9y5x\ +\ 6y-2x-9y  

a)

3x3y3x-3y  

b)

7x3y7x-3y  

c)

3x+3y3x+3y  

d)

7x+3y7x+3y  

23.

-3b + 4(b - 2)

a)

-7b + 8

b)

-b

c)

b - 8

d)

8b - 4

24.

7m2+3+2m2+37m^2+3+2m^2+3  

a)

12m212m^2  

b)

9m2+69m^2+6  

c)

10m210m^2  

d)

9m2+69m^2+6  

25.

Simplify

6x3+4x23x6x^3+4x^2-3x  

a)

7x7x  

b)

10x23x10x^2-3x  

c)

7x37x^3  

d)

Cannot be simplifiedCannot\ be\ simplified  

26.

(4x - 3) + (3x + 2)

a)

7x - 1

b)

7x + 5

c)

1x + 5

d)

7x - 5

27.

Simplify

(5x-3) - (2x+7)

a)

3x - 10

b)

-7x + 10

c)

7x - 3

d)

-3x + 4

28.

3x - 7 + 9y - m

Which are the coefficients?

a)

3,9

b)

3, -7, 9

c)

m

d)

3, -7, 9, 1

29.

What is the coefficient of y?

8 + 5x - y

a)
8
b)

-1

c)

1

d)
-5
30.

What is the coefficient?

-b + 78

a)

b

b)

1

c)

78

d)

-1

31.
Which algebraic expression represents
 "six less than a number"?
a)
6/k
b)
k/6
c)
6 - k
d)
k - 6
32.
Ten decreased by four times a number.  
a)
10 - 4x
b)
4x - 10 
c)
10 - x
d)
10/4x
33.

Which algebraic expression best represents the following verbal expression?


two more than three times a number

a)

3n – 2

b)

3n + 2

c)

3 + 2n

d)

3 – 2n

34.

Evaluate 3c + 5d if c = 7 and d = 4

a)

41

b)

33

c)

29

d)

37

35.

Simplify the following expression:
2p - 7 + 3p - 4

a)

5p - 3

b)

5p - 11

c)

5p + 3

d)

5p + 11

36.

Translate this phrase into an algebraic expression.

The product of twelve and a number

Use the variable n to represent the unknown number.

a)

12n

b)

12-n

c)

n+12

d)

n-12