Algebra Final Review

Chapters 1-3

100

Simplify the following:

-|(-5)² + 4² / 8|

What is -27?

200

Subtract 5/7 - 2 1/7

What is -1 3/7?

300

Translate: Four less than twice some number is 16.

What is 2x - 4 = 16?

400

A graphic designer wishes to create a 720-pixel-wide screen capture. If the width-to-height ratio is to be 3:2, then to how many pixels should he set the height?

What is 480 pixels?

500

Find the equation of the line passing through (−4, −2) and (1, 3).

What is y = x + 2

Chapters 4 & 5

100

Is (-5, -3) a solution to the system of equations:

y = -3

5x - 10y = 5

What is yes?

200

Solve the system of equations:

y = 4x - 1

-3x + y =1

What is (2, 7)?

300

Multiply:

( x - 5)(2x + 3)

What is 2x² - 7x - 15?

400

Set up and solve: The sum of two numbers is 19. The larger number is 1 less than three times the smaller.

What is 5 and 14?

500

Simplify:

(x² y^-3)/ z^-5

What is (x² z⁵) divided by y³?

Chapter 6

100

Factor: x² - 9x + 20 

What is (x - 4)(x - 5)?

200

Factor: 3x² + 7x + 2

What is (3x + 1)(x + 2)?

300

Factor: x² - 81

What is (x + 9)(x - 9)?

400

Given 

(a³ - b³) = (a - b)(a² + ab + b²) 

find (8x² - 1)

What is (2x - 1)(4x² + 2x +1)?

500

Solve: 5x² - 25 + 10

What is 2/3 and 1?

Chapters 7 & 8

100

(5x² ) / (20x³)

What is 1 divided by 4x? 

200

Add: 1/2 + 3/x

What is (3x +2)/(6x)?

300

x/(x+1) = (x+1)/x 

What is -1/2?

400

Simplify the square root of 45x⁵y³

What is 3x²y the square root of 5xy?

500

Multiply 2 times the square root of 5 times 7 times the square root of 10

What is 70 the square root of 2?

Chapter 9

100

Complete the square: 

x² + 6x + ? = (x + ?)

What is 9, 3? 

(must be in this order)

200

Solve by extracting the roots: (x - 2)² - 1 = 0

What is 1 and 3?

300

Solve by completing the square: x² + 6x - 1 = 0

What is -3 + or - the square root of 10?

400

Solve using the quadratic formula: x² - 10x + 24 = 0

What is 4 and 6?

500

Solve the complex quadratic using the quadratic formula: 2x(x - 1) = -1

What 1/2 + or - 1/2i?