8th Grade Math Review

Real Numbers

100

2x³    3x³

3x⁵    2x²   

1 / x

or

1

x

200

This is the Square Root of 100

What is +10 and -10?

300

This is an example of an irrational number.

What is:

Pi  (3.14157...)

Square root of [2, 3, 5...]

400

Write the following in proper scientific notation:

3,042,000,000

What is 3.042 x 10⁹  ?

500

This is the Cube Root of -64?

What is -4?

Linear Equations

100

Solve the equation:

3x + 4 = 25

x = 7

200

Solve the equation:

3(x + 5) = 12

x = -1

300

Solve the equation:

3(2x + 1) = 25

x = 11/3

400

Solve the equation:

4(3x + 2) = 5(x + 3)

x = 1

500

Solve the equation:

2(x - 3) - 5x = -4 - 3x + 11

No Solution

(-3x - 6 = -3x + 7)

Functions

100

(1, 2)   (2, 3)   (3, 4)  (x, 15)

What value of x will make this NOT be a function?

x = 1, 2, or 3

200

If the letter "S" were place on a graph, would it be a function?  Why/why not?

No, because it would fail the "vertical line test"

300

What value of x would make the following set of points a LINEAR Function?

(x, 0)   (1, 2)  (2, 4)   (3, 6)

x = 0.

400

Tom has a $100 gift card; he spends $5 each week.

Write a linear equation to represent the amount of money on the gift card.

y = 100 - 5x

500

What is the linear equation/function for this set of data?

x:  10     20    30    40

y:  10     15    20    25

y = 1/2 x + 5

Right Triangle properties

100

In a Right Triangle, this is the name of the side OPPOSITE the Right Angle.

What is the Hypotenuse?

200

For a Right Triangle, this is the name for the sides that are part of the Right Angle.

What is a Leg?

300

What is the name of the Theorem that involves the relationship between the sides lengths of a Right Triangle?

What is the Pythagorean Theorem

400

If the 2 shorter sides of a Right Triangle are 9 units and 12 units, what is the length of the longest side?

15 units

500

If the longest side of a Right triangle is 0.5cm, and one of the shorter sides is 0.4cm, what is the length of the other short side?

0.3cm

Congruence

100

This type of Transformation involves the figure changing size.

What is dilation?

200

This type of Transformation results in something that's like a mirror image.

What is a Reflection.

300

These are the 2 required elements to perform a Translation.

What are Direction and Distance?

400

These pieces of information are required in order to properly perform a Rotation.

What are:

Point/Center of Rotation, and

Angle Measure/Degrees

500

This is the symbol for "congruent."

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