8th Grade Math - Final Exam Review

Number Sense

100

Simplify: 4^-3 x 4³

1

200

The distance between Earth and the Sun is approximately 93,000,000 miles. What is the distance written in scientific notation?

9.3 x 10⁷

300

Simplify and write in exponential form: 2^-6 / 2^-2

1/2⁴

400

A companies profit of $1.71 x 10⁶ will be shared equally by its 950 employees. How much money will each employee receive? Write you answer in scientific notation.

$1.8 x 10³

500

One type of ant weighs about 2.5 x 10^-3 gram. The ant can cary close to 1 x 10^-1 gram of food on its back. The amount of food, in grams, an ant can carry on its back is approximately how many times its own body weight, in grams? Give your answer in standard form.

40 times greater

Solving Equations

100

Solve for x.

x/3 + 5 = 25

60

200

Solve for x.

7(4 - 2x) = 3(10 - 6x)

0.5

300

Solve for x.

0.5(7 - 5x) = 6 - (2x + 8)

11

400

Solve the following system:

y = 3x - 2

y = -2x + 3

(1, 1)

500

Solve the following system of equations:

x + y = 6

2x + 2y = 1

No Solution

Functions

100

Are the following points a function or a relation?

(-6, -6), (-3, -3), (0, 0), (-3, 3), (-6, 6)

Relation

200

Would the following points create a linear or nonlinear function?

(0, 2), (1, 4), (2, 8), (3, 16), (4, 32)

Nonlinear

300

Compare the initial value of the following functions:

Function 1: y = 3x - 4

Function 2: y = -3x + 4

Function 2 has a greater initial value.

400

What is the slope that passes through the points (1, 3) and (5, 5)?

0.5

500

Compare the rate and y-intercept of the functions:

Function A: twice the value of x plus three.

Function B: y=3x - 2

Function B has a greater rate and Function A has a greater y-intercept.

Geometry

100

Point A is located at (-7, -4). It is rotated 90 degrees clockwise about the origin. What is the coordinate of A'?

(-4, 7)

200

A triangle has side lengths of 4, 6, and 8 cm. Do the side lengths form a right triangle?

No

300

The legs of a right triangle are the square root of 17 and the square root of 8. What is the length of the hypotenuse?

5

400

Points (0, 0) and (5, 12) are on the xy-coordinate plane. What is the distance between the two points?

13

500

Line segment FG begins at point F(-2, 2) and G(3, 2). The segment is translated by (x - 3, y + 2) and then reflected over the x-axis to form F'G'. What are the coordinates of F'G'?

F' (-5, -4) and G'(0, -4)

Miscellaneous

100

What could be the total number of solutions to a system of equations that have the same slope and different y-intercepts?

No Solution

200

Write an equation for a non-linear function.

Example: y = x² - 3

300

What type of correlation describes the following situation:

The amount of rainfall and the amount of ponchos sold at a baseball game.

Positive correlation

400

The square root of 10 is between what two tenths?

3.1 and 3.2

500

Point A (1,1) is reflected over the y-axis and then dilated by a scale factor of 0.5 to form the point A'. What is the coordinate of A'?

A' (-0.5, 0.5)