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Review: Expressions Unit/6th Grade

Total questions: 39

Worksheet time: 37mins

Name
Class
Date
1.

What are the constant terms in the expression? 4x + 6y - 2

a)

4, 6

b)
x, y
c)

4x, 6y

d)

2

2.

What are the coefficients in the expression 8a + b + 9?

a)

8

b)
1 and 8
c)
8 and 9
d)
1, 8, and 9
3.

Which expression represents the following statement?

s students split evenly into 5 groups

a)

s5\frac{s}{5}

b)

5s5s  

c)

s+5s+5  

d)

s5s-5  

4.

Janice is an Uber driver who averages $18 per hour.

At the end of each day she spends $25 on gas.

Which expression represents how much money is left after 1 day of working for h hours.

a)

18h + 25

b)

18h - 25

c)

43h

d)

18 + 25h

5.

Write an equivalent expression

7a + 2 + 3a + 27a\ +\ 2\ +\ 3a\ +\ 2  

a)

14a14a  

b)

21a2+421a^2+4  

c)

10a + 410a\ +\ 4  

d)

9a + 59a\ +\ 5  

6.

Denise has x pieces of gum and Susan has 3 times as much. Write an expressions to represent how much gum Susan has.

a)

x3\frac{x}{3}  

b)

3 - x

c)

S = 3x

d)

x + 3

7.

The cost of renting ice skates is $4 plus $3.50 for each hour that the skates are rented. Write an expression that can be used to find the cost (c) in dollars of renting the skates for h hours.

a)

c = 4h + 3.50

b)

h = 4c + 3.50

c)

c = 4 + 3.50h

d)

h = 4 + 3.50c

8.

Evaluate:

x2+(134+x)x^2+\left(13-4+x\right)  if x = 8.

a)

12

b)

2x + 9

c)

33

d)

81

9.

Which phrase represents the expression 7x + 27x\ +\ 2  ?

a)

seven times two plus a number

b)

two less than a number multiplied by seven

c)

two times a number plus seven

d)

two more than seven times a number

10.

Simplify 525^2  

a)

10

b)

125

c)

5

d)

25

11.

When a number is squared, the exponent is

a)

4

b)

3

c)

2

d)

1

12.

When a number is cubed, the exponent is

a)

1

b)

2

c)

3

d)

4

13.

Trish simplified 9 + 6 ÷ 3 + 1 and got 6. Is she correct or incorrect?

a)

Correct

b)

Incorrect

14.

Trish simplified 9 + 6 ÷ 3 + 1 and got 6. The correct answer is

a)

6

b)

8

c)

10

d)

12

15.

Solve: 2(42 5)2\left(4^2\ -5\right)  

a)

22

b)

2

c)

11

d)

21

16.

Simplify the following expression: 7x + 9y + 2x + 4y

a)

5x + 5y

b)

14x + 36y

c)

9x + 13y

d)

22xy

17.

Simplify the following expression: 7x + 9x + 2

a)

18x

b)

18

c)

2x + 2

d)

16x + 2

18.

Which expression represents the sentence "five times a number, n"?

a)

5/n

b)

5-n

c)

5+n

d)

5n

19.

Simplify 252^5  

a)

10

b)

16

c)

25

d)

32

20.

54  =5^{4\ \ }=   =

a)

5⋅4

b)

4⋅4⋅4⋅4⋅4

c)

5⋅5⋅5⋅5

d)

54

21.

Mrs. Cortez is giving allowance to her children. She has a total of x dollars to give out to her three children. Each child will receive the same amount of money.

Which of the following expressions can be used to determine the allowance for each child?

a)

x−3

b)

3x

c)

3/x

d)

x/3

22.

The product of z and 19 is represented by which of the following expressions?

a)

19 ÷ z

b)

19z

c)

19 + z

d)

19−z

23.

Write algebraically. The sum of twice a number and 3.

a)

2x + 3

b)

x2 +3x^2\ +3  

c)

2x32x\cdot3  

d)

2 + 3x

24.

Write algebraically. A number less than 14.

a)

14 - n

b)

n - 14

c)

n14\frac{n}{14}  

d)

n < 14

25.

Which operation is performed in the second step of the problem below?

(52 7) ÷ 2 + 3\left(5^2-\ 7\right)\ \div\ 2\ +\ 3  

a)

Subtraction

b)

Multiplication

c)

Division

d)

Exponent

26.

Evaluate 39÷(3+62)39\div\left(3+6^2\right)  

a)

1

b)

0.48

c)

40

d)

9

27.

A term in a numerical or algebraic expression that does not change is a...

a)

Variable

b)

Number

c)

Constant

d)

Exponent

28.

In the expression 5p + 11 the number 5 is a...

a)

Variable

b)

Constant

c)

Absolute value

d)

Coefficient

29.

Which terms are like in the expression 4y + 18 - 2y

a)

4y and 18

b)

18 and 2y

c)

4y and -2y

d)

All of the terms

30.

How many of the following terms can be combined in

4x + 6y - 4z

a)

One

b)

Two

c)

Three

d)

None

31.
Write the expression: 
4 less than 5 times p
a)
5p - 4
b)
4 - 5p
c)
4p - 5
d)
5 - 4p
32.
Write the expression:
the sum of 6 and x multiplied by 4
a)
6 + 4x
b)
4(6 + x)
c)
4(6) + x
d)
4x + 6
33.

Evaluate the expression.

3 + 48 ÷ 6 + (62 * 3)

(a)  

34.
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
35.
What is 4x if x=5?
a)
20
b)
16
c)
9
d)
45
36.

Evaluate 5m + 7 if m = 5

a)

12

b)

25

c)

32

37.
Write an algebraic expression for "12 more than number". 
a)
x + 12
b)
12x
c)
x - 12
38.
b2 + 4
when b = 3
a)
10
b)
12
c)
13
d)
11
39.

What are the variables in the expression? 4x + 6y - 2

a)

4, 6

b)
x, y
c)

4x, 6y

d)

2