8th Grade Math Review

Number System

100

The length of the diagonal of a rectangle is equal to the square root of 160. Which two consecutive whole numbers is this between?

12 and 13

200

Which are rational numbers?

1.3

pi

0.777...

4/10

1.3

0.777...

4/10

300

Which are irrational numbers?

pi

0.444...

3/11

7.07106...

pi

7.07106...

400

Estimate square root of 122 to the nearest tenth. 

11.1

500

Write 0.77... as a fraction.

7/9

Exponents

100

Simplify: 3^-2/3^-7

3⁵

200

Simplify:

(x²)³(x)/(x²)

x⁵

300

Solve the equation: y³ = -64

y = -4

400

Solve the equation: x² = 100

x = 10 and -10

500

Write the number in scientific notation:

0.00000435

4.35 x 10^-6

Linear Equations

100

Rate of Change is the same as ______

slope

200

Initial Value is the same as ______

y-intercept

300

How can you determine if an equation is linear?

in the form y = mx + b

400

What formula is used to find slope on a table?

y₂-y₁/x₂-x₁

500

If a rate of change is 0.75 meters per second, what slope (rise/run) is used to graph the line?

3/4

Proportional Relationships

100

What is the unit rate for a bulk package of Gatorade if there are 24 gatorades for $13.20

$0.55/gatorade

200

What two criteria are needed to determine a proportional relationship?

1. Starts at the original (0,0)

2. Linear (constant slope or rate of change)

300

You decide to start saving money, You start with $0 and after 8 weeks, you have $120. If you were to graph this scenario, what would the slope and y-intercept be?

slope: 15

y-intercept: 0

400

A model train is traveling at a constant rate of 0.75 meters per second. Write an equation for this scenario. How many meters has it traveled in 2 minutes?

y = 0.75x

90 meters

500

How can you determine if a table is linear without using a graph?

consistent rate-of-change through entire table. 

Random

100

What is the name of the strategy to determine if a graph is a function?

Vertical Line Test

200

What does it mean if a scatter plot has a Negative Correlation/Association?

As x increases, y decreases

300

What happens to the y-values if a figure is reflected over the y-axis?

They stay the same. 

400

If an image is rotated, translated, and reflected, are the pre-image and image congruent, similar, both, or neither?

Congruent

500

A figure in Quadrant 2 is rotated 270° counter-clockwise. What quadrant does it end up in?

Quadrant 1