WorksheetsFactor & Expand Distributive
Total questions: 64
Worksheet time: 5hrs 20mins
Name
Class
Date
1.
A symbol for a number we don't know yet. This is usually a letter.
a)
coefficient
b)
sum
c)
variable
d)
term
2.
A number on its own that has a fixed value.
a)
constant
b)
coefficient
c)
term
d)
variable
3.
How many coefficients are in expression?
a)
1
b)
2
c)
3
d)
4
4.
What are the variables in the following expression?
a)
3, 4, 1 and 7
b)
z, x and y
c)
+ and -
d)
15
5.
Find the coefficient in the algebraic expression.
a)
x
b)
4
c)
5
d)
9
6.
What is the constant in the algebraic expression?
a)
3
b)
2
c)
-2
d)
7
7.
variable
a)
A number inside parentheses
b)
A letter in an algebraic expression
c)
The number before an exopnent
d)
An expression
8.
coefficient
a)
In 3x-5, the three is the coefficient
b)
In 3x-5, the five is the coefficient
c)
In 3x-5, the x is the coefficient
9.
distributive property
a)
Where adding and subtracting can be switched
b)
Multiplying and adding expressions
c)
Multiply a sum by multiplying each addend separately and then add the products.
10.
Evaluate the expression 6z - 2t when z = 4 and t=3
a)
41
b)
1
c)
12
d)
18
11.
Evaluate the expression 7x when x =2
a)
72
b)
14
c)
9
d)
27
12.
Evaluate the expression: x/5 when x = 80
a)
12
b)
14
c)
16
d)
18
13.
Evaluate the expression: 120/x when x = 3
a)
60
b)
40
c)
30
d)
10
14.
Write the following phrase as an expression: The sum of 29 and a number h
a)
29h
b)
29 + h
c)
29 - h
15.
The sum of 6 and x
a)
x + 6
b)
6/x
c)
x + 4
d)
6x
16.
Which expression uses the greatest common factor and distributive property to express
54 + 90?
54 + 90?
a)
9 ( 6 + 10 )
b)
9 ( 6 + 90 )
c)
30 ( 24 + 60 )
d)
18 ( 3 + 5 )
17.
Rewrite using distributive property and GCF.
16 + 24
16 + 24
a)
2(8+12)
b)
3(5+8)
c)
4(4+6)
d)
8(2+3)
18.
Which expression is equivalent to 36 + 42 ?
Using the Greatest Common Factor (GCF)?
Using the Greatest Common Factor (GCF)?
a)
2(18 + 21)
b)
3(12 + 14)
c)
6(6 + 42)
d)
6(6 + 7)
19.
Rewrite using distributive property and GCF.
24 + 30
24 + 30
a)
6(4+5)
b)
8(3+4)
c)
6(4) + 6(2)
d)
6x2+5
20.
Which expression is equivalent to 36 + 42 ?
Using the Greatest Common Factor (GCF)?
Using the Greatest Common Factor (GCF)?
a)
2(18 + 21)
b)
3(12 + 14)
c)
6(6 + 42)
d)
6(6 + 7)
21.
GCF of 24 and 56
a)
2
b)
4
c)
6
d)
8
22.
Rewrite the sum of the numbers as the product of their GCF and another sum. 36 + 45 = ?
a)
6(6 + 9)
b)
3(12+15)
c)
9(4 + 5)
23.
2(c - 8)
a)
2c - 16
b)
2c + 16
c)
2c - 8
d)
c - 16
24.
Which of the following is equivalent to 4(2x + 3)
a)
8x + 12
b)
8x + 3
c)
8x - 12
d)
20x
25.
2(c - 8)
a)
2c - 16
b)
2c + 16
c)
2c - 8
d)
c - 16
26.
3(4+3r)
a)
12+9r
b)
7+6r
c)
12+5r
27.
10(2a+1)
a)
20a+10
b)
12a+10
c)
10a+1
28.
Which of the following expressions represents the total area of the rectangle?
a)
5(2 + 3)
b)
3(2 + 5)
c)
2(3 + 5)
d)
2(3) + 3(5)
29.
Which of the following is equivalent to 4(p - 6)?
a)
-4p - 24
b)
4p + 24
c)
4p + 24
d)
4p - 24
30.
a)
35x+7
b)
35x-1
c)
35x-7
d)
-35x-7
31.
a)
24x-1
b)
24x-1
c)
-24x-8
d)
24x-8
32.
3(2c - 5)
a)
6c - 15
b)
6c + 15
c)
6c + 15
d)
-6c - 15
33.
What is 2(x + 4)?
a)
2x + 8
b)
2x + 6
c)
2x + 4
d)
2 + 4x
34.
What is 7(x + 1)?
a)
7x + 1
b)
7 + x
c)
7x + 7
d)
7x - 1
35.
12(3 + 4) =
a)
36 + 48
b)
15 + 16
c)
123 + 124
d)
0.84
36.
8(3 + 4) =
a)
24 + 32
b)
11 + 12
c)
123 + 124
d)
5 + 4
37.
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)
38.
What is the distributive property?
a)
For any numbers a, b, c,
a(b + c) = ab + ac
b)
For any numbers a, b, and c,
a(b + c) = a + (b + c)
c)
For any numbers a, b, c,
abc = a + b + c
d)
For any number a, b, and c,
a(b + c ) = a(c + b)
39.
How can 5(3 +2) be expressed using the distributive property?
a)
5(3) x 5(2)
b)
(5 x 3) x (5 x 2)
c)
5(3) + 5(2)
d)
(5 + 3) x (5+2)
40.
5(3 + 2)= ?
a)
20
b)
25
c)
30
d)
35
41.
What is another way to write 12 x 14?
a)
11(14 + 1)
b)
13(12 + 1)
c)
(12 x 7) x (12 x 7)
d)
12(10 + 4)
42.
3(2c - 5)
a)
6c - 15
b)
6c + 15
c)
6c + 15
d)
-6c - 15
43.
(b + 8)5
a)
b + 40
b)
5b - 40
c)
5b + 40
d)
5b + 8
44.
(x - 6)4
a)
24 - 4x
b)
4x - 6
c)
x - 24
d)
4x - 24
45.
-4(-4d + 5)
a)
-16d+20
b)
16+20
c)
16d+ -20
d)
16s-20
46.
2(4x - 7)
a)
8x + -14
b)
8x-7
c)
6x+7
d)
8x+14
47.
-1(3v - 8)
a)
-3v-8
b)
3v-8
c)
-3v+8
d)
6v+8
48.
Simplify 5(2 - 7n)
a)
52 - 7n
b)
10 - 7n
c)
10 + -35n
d)
10 + 35n
49.
Distribute
-15( 2x - 2)
-15( 2x - 2)
a)
-15 + 2x + 2
b)
-30x + 30
c)
-30x - 30
d)
-15x + 2
50.
3(x + 5)
a)
2x + 2
b)
4x + 8
c)
3x + 15
d)
3x + 5
51.
-8(6x + 3)
a)
48X+3
b)
-48X-3
c)
14x+3
d)
-48x + -24
52.
Represent using the Distributive Property:
8 x 49
8 x 49
a)
(2 x 40) + (2 x 3)
b)
(2 x 90) + (2 x 4)
c)
(8 x 20) + (8 x 4)
d)
(8 x 40) + (8 x 9)
53.
Represent using the Distributive Property:
2 x 43
2 x 43
a)
(2 x 40) + (2 x 3)
b)
(2 x 90) + (2 x 4)
c)
(8 x 20) + (8 x 4)
d)
(8 x 40) + (8 x 9)
54.
Which of the following expressions is equivalent to 10x - 8?
a)
2(5x - 8)
b)
10(x - 8)
c)
8(2x - 1)
d)
2(5x - 4)
55.
Factor the following linear expression:
20y - 5
20y - 5
a)
4(5y - 1)
b)
5(4y - 1)
c)
20(y - 5)
d)
y(20 - 5)
56.
e(f + g) is equivalent to:
a)
ef + g
b)
f + g
c)
f + eg
d)
ef + eg
57.
-3(2c - 5)
a)
-6c - 15
b)
-6c + 15
c)
6c + 15
d)
6c - 15
58.
-4(k - 7)
a)
-4k + 28
b)
-4k - 28
c)
4k + 28
d)
4k - 28
59.
5(a + 6)
a)
5a + 6
b)
a + 30
c)
5a + 30
d)
5a - 30
60.
-2(x + 5)
a)
-2x + 10
b)
-2x - 10
c)
-2x + 5
d)
-2x - 5
61.
2(4 + 9w)
a)
6+9w
b)
8+2w
c)
4+9w
d)
8+18w
62.
What is the original multiplication problem based on the distributive property below?
(400 x 8) + (30 x 8) + (2 x 8)
(400 x 8) + (30 x 8) + (2 x 8)
a)
4,302 x 8
b)
432 x 8
c)
423 x 8
d)
4,320 x 8
63.
Which of the following is equivalent to 4(2x + 3)?
a)
8x + 12
b)
8x + 3
c)
8x - 12
d)
20x
64.
Which of the following is equivalent to (5 - 3x)2?
a)
15x - 2
b)
10x - 6
c)
5 - 6x
d)
10 - 6x
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