AFDA Final Review

Relations/Functions

100

What is the slope-intercept form of the following equation:

3x – 2y = 14

y = 3/2x - 7

200

What is the slope of the line for the equation?

2x - y = -4

2

300

A line has a slope of 2 and contains the point (1, 3). What is the equation of the line?

y = 2x + 1

400

What property justifies the following statement?

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

Associative Property

500

Write the slope-intercept form of the line going through the points (-2, 6) (1, 3)

y = -x + 4

Systems of Equations

100

Solve the system of equations:

-4x – 2y = -12 

4x + 8y = -24

(6, -6)

200

Solve the system of equations:

x – y = 11 

2x + y = 19

(10, -1)

300

Solve the system of equations 

x = 2y - 1

3x - 3y = 9

(7, 4)

400

Solve the system of equations:

-y = 4x + 1

-2y - 6x = 6

(2, -9)

500

Solve the system of equations:

3x – 2y = 2 

5x – 5y = 10

(-2, -4)

Quadratics

100

What is the GCF of the following expression?

14x² - 28x + 21

7

200

Factor completely: 

2a² - 5a - 3

(2a+1)(a-3)

300

Find the product:

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

-2x² -11x - 15

400

Factor completely:

36x² - y²

(6x + y)(6x - y)

500

Factor completely:

64x² +16x +1

(8x + 1)(8x + 1)

Exponents/Radicals

100

Simplify the following: sqrt(72)

6sqrt(2)

200

Simplify the following expression:

2k⁸ * 3k³

6k¹¹

300

Simplify the following expression:

sqrt(12x⁶y²)

2x³y sqrt(3)

400

Simplify the following expression: 

(3xy³)²(xy)⁶

9x⁸y¹²

500

Simplify the following: sqrt(121x¹⁰y⁴)

11x⁵y²

Solving Algebraically

100

What is the solution to the following equation?

10x - 7 = 7x + 8

x = 5

200

What is the solution to 4 + 9x = 8x -12 ?

x = -16

300

Solve the inequality:

 -2x + 3 < 7

x > - 2

400

What is the solution set for |5x + 10| - 6 = 4

{0, -4}

500

What is the x-intercept and y-intercept of the following equation: 2x+3y=6

x-intercept: (3, 0) y-intercept: (0, 2)