Math 8 Final Review

Equations

100

Solve showing all your work.

x + 9 = 17

x = 8

200

If 4x / 6 = 8 than x = ?

x = 12

300

If 7(c - 4) = 14, than c = 

c = 6

400

Solve

4c - 10 = 2c + 8

c = 9

500

Solve

5(3x - 4) = 2(9 - 2x)

x = 2

Statistics

100

What is an outlier?

A point or number that doesn't fit in to the data set.

200

How do you find the mean?

1. Add all the numbers in the data set.

2. Divide your answer by how many numbers are in the data set.

300

What is the range of the following numbers?

2, 5, 12, 6, 1, -2

14

400

Draw a box and whisker plot for the following data.

2, 4, 6, 8, 10, 12

2, 4, 7, 10, 12

500

What is the mode of a data set?

The number that occurs the most often.

Geometry

100

What is the hypotenuse of a triangle who's legs are 10 inches and 8 inches? Round to the nearest tenth.

12.8 inches

200

What is the volume of a cube that is 5.8 cm on each side? Round your answer to the nearest tenth.

195.1 cm³

300

What is the slope of the points (2,3) and (-2,-3)

3

2

400

What is the volume of a cone with a base diameter of 24 inches and a height of 10 inches? Use 3.14 for pi and round your answer to the nearesr=t tenth.

1,507.2 in³

500

If the point (-2,3) was reflected across the y axis, what would it's coordinate be?

(2,3)

Exponents

100

Simplify the following expression using the laws of exponents:

4⁵ x 4²

5+2=7

4⁷

200

Simplify the following expression using the laws of exponents:

5¹_

5³

1-3=-2

5^-2

300

Simplify the following expression using the laws of exponents:

(8^-2)³

-2x3=-6

8^-6 = (1 / 8)⁶

400

Simplify the following expression using the laws of exponents:

(22³)⁰

22⁰ = 1

500

Simplify the following expression using the laws of exponents:

x²y³ 

y²

x²y

Scientific Notation

100

What is 0.00005 in scientific notation?

5 x 10^-5

200

What is 2.66 x 10⁴ in standard notation?

26,600

300

Place the following numbers in order from least to greatest.

7.8 x 10⁶               5.1 x 10⁴

1.25 x 10⁵              4.09 x 10⁴

4.09 x 10⁴

5.1 x 10⁴

1.25 x 10⁵

7.8 x 10⁶

400

The diameter of the planet Mercury is 4.87 x 10³ kilometers. The diameter of the planet Venus is 1.21 x 10⁴ kilometers. The diameter of Earth is 1.28 x 10⁴ kilometers. The diameter of Mars is 6.79 x 10³ kilometers. Which planet has the smallest diameter?

Mercury

500

The diameter of the planet Mercury is 4.87 x 10³ kilometers. The diameter of the planet Venus is 1.21 x 10⁴ kilometers. The diameter of Earth is 1.28 x 10⁴ kilometers. The diameter of Mars is 6.79 x 10³ kilometers. Order the plants from greatest to least.

Earth

Venus

Mars

Mercury