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

Expand using the Distributive Property

3(–2x + 2)

-6x + 6

100

Identify the like terms in this expression:

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

Like terms: 6n and 3n; -5m and 9m

100

Find the sum of the linear expressions: 

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

14x + 1

100

Find the difference between the linear expressions: 

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

-2x + 2

100

Factor the expression:

12x - 3

3(4x - 1)

200

Expand using the Distributive Property

–2(x + 1)

-2x - 2

200

Identify the coefficients and constants in this expression:

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

Coefficients: -8, -3, 15

constants: 9,6

200

Find the sum of the linear expressions: 

 (-x + 4) + (-2x - 5)

-3x - 1

200

Find the difference between the linear expressions: 

 (11x + 3) - (-4x + 12)

15x - 9

200

Factor the expression:

9x + 14

Cannot be factored

300

Expand using the Distributive Property and then evaluate

–4(–5 + 9)

-4(-5) - 4(9)

or 

20 - 36

Evaluate

-16

300

Simplify the expression

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

3x - 7

300

Find the sum of the linear expressions 

 (x - 1) + (-2x + 7)

-x + 6

300

Find the difference between the linear expressions: 

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

-12x + 6

300

Factor the expression:

45y + 36

9(5y + 4)

400

Expand using the Distributive Property

1/2 (12y + 8x - 2)

6y + 4x - 1

400

Simplify the expression

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

-3c + d + 8

400

Find the sum of the linear expressions: 

 (3x - 4) + (-2x - 9)

x - 13

400

Find the difference between the linear expressions: 

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

-11x - 10

400

Factor the expression:

12a - 15b + 6

3(4a - 5b + 2)

500

Expand using the Distributive Property

0.5(y - 2)

0.5y - 1

500

Simplify the expression

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

9m - 6

500

Find the sum of the linear expressions: 

 (9x + 11) + (-12x + 8)

-3x + 19

500

Find the difference between the linear expressions: 

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

-4x + 12

500

Factor the expression:

490 - 350d

70(7 - 5d)

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