Free Printable Distribute and Factors

1.

Use the Distributive Property

5(2x + 3)

a)

10x + 3

b)

10x + 15

c)

25x

d)

7x + 8

2.

In the expression 5h + 3, which of the following is the coefficient?

a)

5

b)

h

c)

+

d)

3

3.

When a letter and a number are right next to each other, it means they are _____________.

a)

Adding

b)

Subtracting

c)

Multiplying

d)

Dividing

4.

The number before a variable is the _____.

a)

term

b)

constant

c)

coefficient

d)

variable

5.

-3 (a + 3)

a)

3a - 9

b)

-3a + 9

c)

3a + 9

d)

-3a - 9

6.

3x (y + 4)

a)

3x3y + 4x

b)

3xy + 4x

c)

3xy + 12x

d)

3x + 3y + 12

7.

-10 (-3x - 5y)

a)

30x - 50y

b)

-30x - 50y

c)

80xy

d)

30x + 50y

8.

$\frac{1}{2}(t+8)$

a)

$\frac{1t}{2t}+\frac{8}{2}$

b)

$\frac{1}{2}t+8$

c)

$\frac{1}{2}t+4$

d)

$\frac{1}{2}t+\frac{8}{16}$

9.

$-\frac{1}{3}\left(y\ -\ 9\right)$

a)

$\frac{1}{3}y+3$

b)

$-\frac{1}{3}y+3$

c)

$-\frac{1}{3}y-3$

d)

$-\frac{1}{3}y+9$

10.

Factor 8x-10

a)

2(4x-5)

b)

6(2x-4)

c)

2(4x+5)

d)

8(x+5)

11.

Factor Completely:

-9u - 81

a)

9(u + 9)

b)

-9(u - 9)

c)

-9(u + 9)

d)

-90u

12.

Factor the following linear expression:
20y - 5

a)

4(5y - 1)

b)

5(4y - 1)

c)

20(y - 5)

d)

y(20 - 5)

13.

Factor: $-8x-12$

a)

$-4(2x+3)$

b)

$-4(2x-3)$

c)

$4(2x-3)$

d)

$4(2x+3)$

14.

Factor: $-4x+14$

a)

$-2(2x-7)$

b)

$-2(x-7)$

c)

$-2(4x-7)$

d)

$-4(x+7)$

15.

The expression 20a + 13c is the cost for a adults and c students to enter the Miami Science Museum.

Find the total cost for 4 adults and 24 students.

(a)

16.

Evaluate when a = -4 and b = -1

(a)

17.

Evaluate for x = −4 and b = −2

(a)

18.

Evaluate for x = 5 and y = −10

(a)

19.

Evaluate when x = 2 and y = −3

(a)

20.

An equilateral triangle has a perimeter of 12n + 24.

What is the length of one side of the triangle if n = 0.5?

(a)

21.

If a square has a perimeter of 32n + 24, what is the length of one side?

(a)

22.

What is the area of a rectangle that has a length of 7 and a width of m + 5?

(a)

Distribute and Factors

Total questions: 22

Worksheet time: 56mins

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