Algebra Review

SimplifyingExpressions

100

-4a² * 5a

-20a³

200

9x - 9x + 9x - 9x - x

-x

300

6(x + 1) = 2(-2x + 3)

x = 0

400

Completely simplify the expression.

(4y-3)/5 + (3y+2)/2

=  (23y+4)/10 

500

Completely simplify the expression.

m(-5m^2+4m)-3m^2+7m^3

=  2m^3+m^2 

FactoringExpressions

100

Completely factor. 24k + 48

24(k + 2)

200

Completely factor. -15k² - 25k

-5k(3k + 5)

300

Completely factor.

-4x³ + 10x² - 18x + 45

(-2x + 5)(2x² + 9)

400

Factor completely.

50y⁴ + 100y³ - 140y

10y(5y³ + 10y² - 14)

500

Completely factor.

12g³ - 15gh + 28g²h - 35h²

(4g² - 5h)(3g + 7h)

Solving Equations

100

4x + 12 = 20

x = 2

200

-9x + 2 = 47

x = -5

300

-x + 4 = -3

x = 7

400

5(x - 3) = 3x + 14

x = 14.5 or (29/2)

500

-6 + x/3 = -2

x = 12

Building Blocks

100

An equation is a mathematical statement that two ________ are equal, indicated by an equal sign (=).

Expressions

200

Write an expression that represents "5 more than twice a number".

2x + 5 OR 5 + 2x

300

List five factors that 40x² and -16x share.

Check with Ms. Facchino.

400

Given, 4m³ - m² + 8m - 10 ...

a) List all the terms.

b) Identify the coefficients.

c) Identify the constant term(s).

d) Which terms are like terms?

a) 4m³, -1m², 8m, -10

b) 4, -1, 8

c) -10

d) none

500

Solve this equation without distributing.

8x + 12 = 4(3x - 5)

Factoring!! x = 8

Ask Ms. Facchino to check your answer.