Algebraic Expressions

Distributive Property

100

Evaluate

-4(8-5)

-12

200

Evaluate

(23-7)6

96

300

Use the distributive property to rewrite this algebraic expression

6(3b+4)

18b + 24

400

Use the distributive property to rewrite this algebraic expression

-2(n+4)

-2n-8

500

Find the value of b when the expression 10x + b is equivalent to 2(5x − 2).

b = -4

Simplifying

100

4a + 3a

7a

200

9x - 2x

7x

300

-5m + m + 5

-4m + 5

400

2(x - y) + 3x

5x - 2y

500

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

-17m - 8n + y

Adding and Subtracting

100

(7x + 5) + (x + 2)

8x + 7

200

(8x - 9) - (3x - 1)

5x - 8

300

Find the value of n so that the expression (9y−8)+(y+5) is equal to (ny−3).

n = 10

400

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

-3x + 7

500

Write and simplify an expression to find the perimeter of a triangle with side lengths of (9x - 4), (2x + 3), and (9x -4). 

20x - 5

Factoring

100

Factor

3x + 9

3(x + 3)

200

Factor 10+ 25x

5(2+5x)

300

Factor

2x - 14

2(x-7)

400

The area of a rectangle is (4x - 8) square units. Factor 4x - 8 to find possible dimensions of the rectangle.

4(x - 2) or

4 units by (x-2) units

500

Find the value of p so that the expression 8+5n is equivalent to p (4+2.5n).

p = 2