8th Math Review (Topics 1-3)

Real Numbers

100

Order these numbers from least to greatest:

5, -10, 10, 0.5 

What is -10, 0.5, 5, 10 

200

Classify 0.333333333... as rational or irrational.

What is rational. 

300

What classifies a number to be an integer? 

What is a number that is not in the form of a fraction. 

400

List the first 5 perfect cubes.

What is: 1, 8, 27, 64, 125. 

500

Find the side length of a cube with an area of 1728 cubic inches. 

What is 12 inches. 

Linear Equations

100

Solve for x. 

2x = 42

What is 21. 

200

What is the first step in solving this equation:

2x + 4x = 6x + 2

What is combining like terms (2x + 4x) on the left side. 

300

Solve for x:

x - 1 = 5x + 3x - 8

What is 1. 

400

Solve for p. 

p - 4 = -9 +p 

What is a no solution. 

500

Solve for x:

-(1+7x) -6(-7-x) = 36

What is 5. 

Exponents

100

When you are multiplying with the same base you do what with the exponents? 

What is add the exponents. 

200

Simplify: 

A⁰

What is 1. 

300

Write this number in scientific notation:

0.0000007843

What is 7.843 x 10^-7

400

Solve write your answer in scientific notation. 

(5.3 x 10³) - (8 x 10²) 

What is 4.5 x 10³

500

What is the value of 'n' in the equation:

1.9 x 10⁷   ₌ (1 x 10⁵) (1.9 x 10ⁿ) 

 What is 2. 

Functions

100

Do these data points represent a function? 

(0, 2) (3,4) (4,5) (0,2) 

What is a function. 

200

Write an equation for a line that goes through the points: (0,1) and (3,10) 

What is y=3x +1 

300

What is the value of x, when y = 18

y = 2x + 10

What is x = 4. 

400

Do these data points represent a linear function?

(0,0) (1,4) (2,8) (3,12) (4,16) 

What is a non-linear function. 

500

What is the initial value of this relationship? 

(1, 2) (3, -4) (5,-10) (7,-16) 

What is 5. 

Proportional vs. Non Proportional

100

What classifies a relationship to be proportional? 

What is a straight line that goes through the origin. 

200

Mrs. Lorenz walks dogs after school. She charges a $10 fee and $1 for every mile walked. Is this relationship proportional? 

What is no, there is a base fee of $10.

300

Write a linear equation for the statement:

A hot air balloon is 75 meters in the air it descends at a rate of 3 meters per minute. 

What is y = -3x +75

400

Write an linear equation using these two points: 

(-8.3, -5.2) and (6.4, 9.5) 

What is 

y = 1x +3.1 

500

Write this equation in slope-intercept form:

-2x +3y = -6

What is

y = 2/3x - 2