The Distributive Property & Factoring
Simplifying Algebraic Expression
Adding Linear Expressions
Subtracting Linear Expressions
Vocabulary
100

Distributive...

3(–2x + 2)

-6x + 6 

100

Simplify ...

4x - 3x + 2x + 12 - 19

3x - 7 

100

Add the linear expressions ...

(5x - 4) + (9x + 5)

14x + 1 

100

Subtract the linear expressions ...

(-5x + 4) - (-3x - 2)

-2x + 6 

100

How many terms does 3x - 4 + 2x - 7x have?

4

200

Distribute

15(3+4x)

45 + 60x

200

Simplify...

2c - 3d - 5c + 4d + 8

-3c + d + 8 

200

Add the linear expressions ...

(-x + 4) + (-2x - 5)

-3x - 1 

200

Subtract the linear expressions ...

(11x - 3) - (-4x + 12)

15x - 15 

200
What is the constant in the expression 4x - 5y - 5 + x

-5

300

Simplify

–4(–5x + 9)

20x-36

300

Simplify...

12m - 19x - 3m + 19x + 12 - 18

9m - 6 

300

Add the linear expressions ...

(x - 1) +(-2x + 7)

-x + 6 

300

Subtract the linear expressions ...

(x - 6) - (13x + 12)

-12x - 18 

300

Which expression is in simplest form?

a. 4x+2+3x+7     b. (2x+1) - (3x-2)

c. (2x+1)            d. 2(x+1)

C

400

Simplify

2/5(10x-5)

4x-2

400

Simplify

3(2n +n ) - 5m + 3(4 + 3m)

4m+9n+12

400

Add the linear expressions ...

(3x - 4)+ (-2x - 9)

x - 13 

400

Subtract the linear expressions ... 

(-9x - 9) - (2x - 1)

-11x - 8 

400

what are the coefficients in the following algebraic expression?

5x-2y+7

5 and -2

500

Simplify...

-14(2x+3)

-28x - 42

500

Simplify

-8a - 3(b -5b) + 9 + 6

-8a +12b +15 

500

Add the linear expressions ...

(11 + 9x) + (8 - 12x)

19 - 3x  or  -3x + 19 

500

Subtract the linear expressions ...

(-8 - x) - (-4 - 3x)

-4 + 2x  or  2x - 4 

500

Which of these expressions are liner expressions:

a. -4x     b. -7x    c. 5-3+7x+1      d. 5x1-1x

e. (4x+2) - (3x-7)      f. (2x2+1x) + (4+7x)

A, C, D, E

M
e
n
u