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Expressions (ch. 6)

Total questions: 25

Worksheet time: 6hrs 5mins

Name
Class
Date
1.
The number you see before a variable (Example: 6z, the 6 is the ________)
a)
coefficient
b)
variable
c)
term
d)
product
2.
A symbol for a number we don't know yet. This is usually a letter.
a)
coefficient
b)
sum
c)
variable
d)
term
3.
A number on its own that has a fixed value.
a)
constant
b)
coefficient
c)
term
d)
variable
4.
What are the variables in the following expression: 3z + 4x - 1 + 7y
a)
3, 4, 1 and 7
b)
z, x and y
c)
+ and -
d)
15
5.
What do you call each part of an expression that is separated by a + or a -?
a)
coefficient
b)
constant
c)
variable
d)
term
6.
What is the coefficient of x?
8 + 5x - y
a)
8
b)
1
c)
5
d)
-5
7.
Write an algebraic expression:
10 less than a number
a)
10n
b)
10 - n
c)
n - 10
d)
10/n
8.
Which expression contains exactly 3 terms?
a)
5 + 6xy
b)
9 + 4t
c)
8 + 2y - 5x
d)
24xy
9.
Which expression has 4 terms?
a)
3 + 5t - 24d
b)
15r + 10s - 12t + 4
c)
9stp - 3
d)
4x - 8p
10.

A __________________________ is a symbol, usually a letter, used to represent a number.

a)

order of operations

b)

algebraic expression

c)

Associative

d)

variable

11.
Sheryl earns money for college by walking dogs and by mowing lawns. She earns $3  for each dog she walks and $25 for each lawn she mows. Which expression can be used to determine the amount of money, in dollars, Sheryl earns from walking w dogs and mowing m lawns?
a)
3w + 25m
b)
28(m + w)
c)
3w + 25
d)
75(w + m)
12.

Factor 14x−24 using the GCF.

a)

2(14x-24)

b)

14(x-24)

c)

2(7x-12)

d)

14(x-1)

13.
Factor:
10x + 15
a)
100x + 150
b)
10(x + 5)
c)
1(10x + 15)
d)
5(2x + 3)
14.
Simplify each expression
44z -15z
a)
-59z
b)
-29z
c)
59z
d)
29z
15.
Simplify this expression 
15b - b
a)
14b
b)
15b
c)
-14b
d)
-13b
16.

How can 4(3 +9) be expressed using the distributive property?

a)

4(3) + 4(4 + 9)

b)

4(3) + 4(9)

c)

4 + 9 = 9 + 4

d)

(4 + 3) x (4 + 9)

17.
3(x + 5)
a)
2x + 2
b)
4x + 8
c)
3x + 15
d)
3x + 5
18.

What is the simplified version of this expression?  7(5x1)7\left(5x-1\right)  

a)

 35x+735x+7  

b)

 35x135x-1  

c)

 35x735x-7  

d)

 35x7-35x-7  

19.

What is the simplified version of this expression?  5(a+6)5(a+6)  

a)

 5a+65a+6  

b)

 a+30a+30  

c)

 5a+305a+30  

d)

 5a305a-30  

20.
(19 - 7) ÷ 4 + 11
a)
14
b)
0.8
c)
15
d)
13
21.
How do you write this in exponent form?
4 * 4 * 4 * 4 * 4 * 4 * 4 * 4
a)
47
b)
65,536
c)
48
d)
74
22.
(4+5) ÷ 3 x 6 -
a)
0
b)
12
c)
6
d)
8
23.
Evaluate 5m when m=8
a)
58
b)
13
c)
85
d)
40
24.
Combine the like terms to create an equivalent expression of:
 6m + 4m + 3c + 2c
a)
11m + 6c
b)
10m + 3c + 5c
c)
10m + 5c
d)
15mc
25.
Evaluate when a = 15:
2(a - 5) + 2
a)
22
b)
27
c)
14
d)
7