Show:
The Distributive Property
Simplifying Algebraic Expression
Adding Linear Expressions
Subtracting Linear Expressions
Factoring Expressions
100

Use the Distributive Property to expand:

3(–2x + 2)

-6x + 6

100

Simplify the expression:

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

4m + 9n + 12

100

Add the linear expressions: 

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

14x + 1

100

Subtract the linear expressions: 

 (-5x + 4) - (3x + 2)

-8x + 2

100

Factor the expression:

12x - 3

3(4x-1)

200

Use the Distributive Property to expand:

–2(x + 1)

-2x - 2

200

Simplify the expression

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

-11a + 15b + 15

200

Add the linear expressions: 

 (-x + 4) + (-2x - 5)

-3x - 1

200

Subtract the linear expressions: 

 (11x + 3) - (4x - 12)

7x +15

200

Factor the expression:

9x + 14

Cannot be factored

300

Use the Distributive Property to expand:

–4(–5m + 9)

20m - 36

300

Simplify the expression

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

3x -7

300

Add the linear expressions: 

 3(x - 1) + (-2x + 7)

x + 4

300

Subtract the linear expressions: 

 (x - 6) - (13x - 12)

-12x + 6

300

Factor the expression:

45y + 36

9(5y + 4)

400

Use the Distributive Property to expand:

–2(7.5g - 9.5)

-15g + 19

400

Simplify the expression

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

-3c + d + 8

400

Add the linear expressions: 

 2(3x - 4) + 3(-2x - 9)

-35

400

Subtract the linear expressions: 

 (-9x - 9) - 2(2x + 1)

-13x - 11

400

A sidewalk has dimensions of (8x + 18) square feet. What is the possible length and width of the sidewalk?

width of 2 feet

length 4x + 9 feet

or vice versa

500

Use the Distributive Property to expand:

-12(-3.1x - 10)

37.2x + 120

500

Simplify the expression

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

9m - 6

500

Add the linear expressions: 

 -2(4x + 11) + 2(-2x + 8)

-12x - 6

500

Subtract the linear expressions: 

 2(8 - x) - 3(-4 + 3x)

-11x + 28

500

A garden has dimensions of (100x + 85) square yards. What are the possible length and width of the garden?

width of 5 yards

length of 20x + 17 yards

or vice versa