Algebraic Expressions and Polynomials

The Distributive Property

100

Use the Distributive Property to expand:

3(–2x + 2)

-6x + 6

200

Use the Distributive Property to expand:

–2(x + 1)

-2x - 2

300

Use the Distributive Property to expand:

–4(–5m + 9)

20m - 36

400

Use the Distributive Property to expand:

–2(7.5g - 9.5)

-15g + 19

500

Use the Distributive Property to expand:

-12(-3.1x - 10)

37.2x + 120

Combining Like Terms

100

Simplify the expression:

6n + 3n - 5m + 12 + 9m

9n + 4m + 12

200

Simplify the expression

-8a - 3a + 15b + 9 + 6

-11a + 15b + 15

300

Simplify the expression

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

3x -7

400

Simplify the expression

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

-3c + d + 8

500

Simplify the expression

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

9m - 6

Adding Polynomials

100

Add the linear expressions: 

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

14x + 1

200

Add the linear expressions: 

 (-x + 4) + (-2x - 5)

-3x - 1

300

Add the linear expressions: 

 (x - 1) + (-2x + 7)

-x + 6

400

Add the linear expressions: 

 (3x - 4) + (-2x - 9)

x - 13

500

Add the linear expressions: 

 (9x + 11) + (-12x + 8)

-3x + 19

Subtracting Polynomials

100

Subtract the linear expressions: 

 (-5x + 4) - (-3x + 2)

-2x + 2

200

Subtract the linear expressions: 

 (11x + 3) - (-4x + 12)

15x - 9

300

Subtract the linear expressions: 

 (x - 6) - (13x - 12)

-12x + 6

400

Subtract the linear expressions: 

 (-9x - 9) - (2x + 1)

-11x - 10

500

Subtract the linear expressions: 

 (8 - x) - (-4 + 3x)

-4x + 12

Multiplying Polynomials

100

Multiply:

(x+2)(2x+6)

2x²+10x+12

200

Multiply:

(12x - 3)(x + 1)

12x²+9x-3

300

Multiply:

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

-4x²-16x-16

400

Find the product of (x²+x-1) and (2x+2).

2x³ + 4x² - 2

500

A rectangle has a length of 2x-1 and a width of 3x-2. What is the area?

[Remember, to calculate area, multiply the length and width!]

6x²-7x+2