Algebraic Expressions part 2

Factoring

100

Factor: 4m + 8

4(M + 2)

200

Factor: 9x - 33y

3(3x - 11y)

300

Factor: 28x+ 8xz - 10xy

2x(14 + 4z - 5y)

400

12xy + 24xy - 48z

12(xy + 2xy - 4z)

500

72xyz + 54yz - 66z

6z(xy + 9y - 11)

Adding Expressions

100

(2x + 8) + (5x + 11)

7x + 19

200

(5x - 12) + (8x + 11)

13x - 1

300

(-8x - 8y) + (-7x + 11y)

-15x + 3y

400

(-2/5x - 8y) + (3/5x - 5y)

1/5x - 13y

500

(1/8x - y) + (-3/5x + y)

-19/40x

Subtracting Expressions

100

(5x + 10) - (4x + 3)

x + 7

200

(-3x + 8) - (-7x + 5)

4x + 3

300

(-9x - 8y) - (5x + 5y)

-14x - 13y

400

(3/4x + 8y) - (-5x + 10y)

23/4x - 2y

500

(-11y + 1/8x) - (-6y + 1/3x)

-5/24x - 5y

Analyze Equivalent Expressions

100

A c couch has an 7% sales tax. Write 2 equivalent expressions.

c + .07c and 1.07c

200

A store increases the price of a b bicycle 32%. Write 2 equivalent expressions.

b + .032b and 1.32b

300

A teacher gets a 38% discount for his m meal. Write two equivalent expressions

m - .38m and .62m

400

A fence's length is 7x + 4 ft and it's width is x. Write two equivalent expressions that can find the perimeter of the fence. 

16x + 8 and 8(2x + 1)

500

A television t is marked up 15% from it's original price. Write two equivalent expressions that can solve for the current price of the television. 

If the TV originally cost $360, how much is it now?

t + .15t and 1.15t

$414