Final Review

Factoring

100

Factor 7x+21

7(x+3)

200

Factor 6x²-3x

3x(2x-1)

300

Factor x²+5x +6

(x+2)(x+3)

400

Factor x²+4x -21

(x+7)(x-3)

500

Factor 2x² +x -6

(2x-3)(x+2)

Simplifying

100

Simplify 3x² - 2x +4x²+5x

7x²+3x

200

Simplify x² *x⁷ *x

x¹⁰

300

Simplify 3xy(4x+2y-1)

12x²y+6xy²-3xy

400

Simplify 8x⁶ / 2x²

4x⁴

500

Simplify (xy³)(x⁴y²)

x⁵y⁵

Solving equations

100

Solve 2x-8 = 2

x=5

200

Solve x/5 = 3/15

x =1

300

Solve 5(2x+3) = 7x - 5

x = -20/3

400

Solve 7(x-3) +2x = 4(2x-3)

x = 9

500

Solve |2x+3| = 21

x = 9 and x = -12

Slope-intercept form

100

Identify the slope of y = -4x +5

m = -4

200

Identify slope and y-intercept of y = -8/3x - 14

m = -8/3

b = -14

300

Write the equation in slope intercept form if the slope is -3 and the y-intercept is 5.

y = -3x+5

400

Write the equation for the line in slope-intercept form if the slope is -2 and it passes through the point    (3, 10)

y = -2x +16

500

Write the equation of the line in slope intercept form for a line passing through (1, 4) and (2, 3)

y = -1x +5

Systems of Equations

100

How many equations does a system of equations normally have?

2

200

Solve the system:

y = -4x

3x+2y = 20

(-4, 16)

300

Solve the system:

x+y = 8

x - y = -2

(3, 5)

400

Solve the system:

3x + y = 12

2x + y = 10

(2, 6) 

500

Solve the system:

2x + 3y = 5

4x + y = -5

(-2, 3)