WorksheetsFactoring Distributive and Like Terms Review
Total questions: 45
Worksheet time: 2hrs 32mins
Name
Class
Date
1.
Simplify 6(x + -2)
a)
6x + -2
b)
6x + -12
c)
4x
d)
6x - 2
2.
Add these expressions
(x+5) + (2x+10)
(x+5) + (2x+10)
a)
3x+15
b)
x-5
c)
18x
3.
Evaluate the expression:
-2m + 4
m= 6
a)
24
b)
-8
4.
What is the value of 4x + 5 + 2x + y, if x = 6 and y = 4?
a)
29
b)
45
c)
47
d)
81
5.
Distribute
2(c - 8)
2(c - 8)
a)
2c - 16
b)
2c + 16
c)
2c - 8
d)
c - 16
6.
Simplify by combining like terms:
5a + 2b - 3a + 4
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
7.
Combine like terms
-4x - 10x
-4x - 10x
a)
-14
b)
6x
c)
-6x
d)
-14x
8.
Simplify the following expression:
(5 + 4x) + (2x - 8)
(5 + 4x) + (2x - 8)
a)
13 + 6x
b)
6x - 3
c)
6x - 13
d)
6x + 3
9.
What is the GCF of 8 and 10?
a)
1
b)
3
c)
4
d)
2
10.
Find the greatest common factor of 32 and 48
a)
2
b)
8
c)
16
d)
18
11.
Identify the terms, coefficients, and constants of the expression. 6q+1
a)
Terms: 6q, 1 Coefficient: 6 Constant: 1
b)
Terms: 6 Coefficient: 1 Constant: q
c)
Terms: 6q Coefficients: 6, 1 Constant: 1
d)
Terms: 1 Coefficient: 6 Constant: 1, q
12.
How many terms are in the following expression?
2x+4y+6
2x+4y+6
a)
1
b)
2
c)
3
d)
4
13.
What word phrase can you use to represent "5x + 2"?
a)
five times the sum of a number x and two
b)
two times the sum of a number x and five
c)
a number x times the sum of five and two
d)
the sum of five times a number x and two
14.
There were x cookies at the beginning of a party. By the end of the party, 16 of them had been eaten. Using x, write an expression for the number of cookies that were left.
a)
16
b)
x + 16
c)
16 - x
d)
x - 16
15.
For every song you download, you receive a discount. The discount you receive is equivalent to the expression 5x - 15, where x is the cost of a song. Factor the expression to find the discount received for ONE song.
a)
5 (x-15)
b)
5 (x - 3)
c)
$3
d)
$15
16.
True or False
12x - 8 = 6(2x - 1)
12x - 8 = 6(2x - 1)
a)
True
b)
False
c)
Who's to say in this world full of uncertainty?
17.
Factor
12x - 20
12x - 20
a)
4x(3 - 5)
b)
4(3x - 5)
c)
-6(-2x-3)
18.
Add
(-5x + 3) + (2x + 8)
(-5x + 3) + (2x + 8)
a)
10x + 5
b)
-3x + 11
c)
7x + 24
d)
3x + 10
19.
Simplify by distributing:
3(-6x-3)
3(-6x-3)
a)
18x+9
b)
-18x-9
c)
12x+6
d)
18x-9
20.
Factor:
12x + 9
12x + 9
a)
3(4x + 3)
b)
x(12+9)
c)
3(4x - 3)
d)
not factorable
21.
Factor:
4x + 30y
4x + 30y
a)
2(x + 15y)
b)
4(x + 15y)
c)
2(2x + 15y)
d)
can't be factored
22.
Greatest Common Factor
15ab and 25a
15ab and 25a
a)
5ab
b)
15ab
c)
5a
d)
1
23.
Factor:
2x + 18
2x + 18
a)
2(x + 9)
b)
2(x + 8)
c)
2(2x + 9)
d)
cannot be factored
24.
True or False?
2x + 6 = 2(x + 3)
2x + 6 = 2(x + 3)
a)
True
b)
False
25.
Mr. Fischer simplified the expression 3(2x-4) to 6x-4. Is he correct?
a)
Yes
b)
No
26.
Greatest Common Factor
abc and ab
abc and ab
a)
a
b)
ab
c)
abc
27.
Which of these are like terms in the following expression:
3x + 7 - 9x + 24y + 2x2
3x + 7 - 9x + 24y + 2x2
a)
7, 24y
b)
3x, 9x
c)
3x, -9x
d)
3x, -9x, 2x2
28.
Simplify by combining like terms:
5a + 2b - 3a + 4
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
29.
Simplify by combining like terms:
5a + 2b - 3a + 4
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
30.
Combine like terms
-r - 10r
-r - 10r
a)
11r
b)
-11r
c)
9r
d)
-11
31.
Combine like terms
3x + 2x + 3y - 7y
3x + 2x + 3y - 7y
a)
5x + 10y
b)
5x + 4y
c)
5x - 4y
d)
5x -10y
32.
Simplify the following expression:
-10x + 15 - 3x + 2
-10x + 15 - 3x + 2
a)
13x2 + 17
b)
-13x2 + 13
c)
-13x + 17
d)
-7x + 17
33.
Simplify the following expression:
3 + 5x + 8 - 2x
3 + 5x + 8 - 2x
a)
-3x2 - 11
b)
3x2 + 11
c)
11 - 3x
d)
11 + 3x
34.
In this equation, 4a - 10 = 9a, which is the constant?
a)
4 and 9
b)
4a and 9a
c)
-10
d)
4, 9, and -10
35.
Which of the following is an expression?
a)
6x + 2x = 6
b)
10 = 5x
c)
2x + 6x - 10
d)
6x2 + 10 = 25
36.
Which of the following is an equation?
a)
6x + 2x - 6
b)
6x2 + 10 = 25
c)
6x2 + 10 - 25
d)
10y - 6 + 34u
37.
What is a number multiplied by a variable?
a)
Variable
b)
Coefficient
c)
Origin
d)
Function
38.
In this expression, 2x + 6y - 10, which are the coefficients?
a)
2, 6, and -10
b)
x and y
c)
2 and 6
d)
-10
39.
16 • 4 = 4 • 16
a)
Zero Property
b)
Commutative Property of Multiplication
c)
Identity Property of Multiplication
d)
Distributive Property
40.
Name the property.
7 + (11 + 10) = (7 + 11) + 10
7 + (11 + 10) = (7 + 11) + 10
a)
Associative Property
b)
Commutative Property
c)
Distributive Property
d)
Identity Property
41.
___ + 5 = 5 + 9
a)
9
b)
19
c)
14
d)
-9
42.
(6 x 2) x 3=6 x (2 x 3)
a)
Commutative Property of Multiplication
b)
Associative Property of Multiplication
c)
Multiplicative Inverse Property
d)
Multiplicative Identity Property
43.
Evaluate the expression 7/q for q = 7. Simplify your answer.
a)
7/7
b)
1
c)
14
d)
0
44.
Evaluate 7y - 3y for y=2
a)
40
b)
73
c)
8
d)
4
45.
Evaluate n + 5² for n=3
a)
13
b)
8
c)
25
d)
28
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