8th Grade Math Final Exam Review (continued)

Functions

100

In order for a relation to be a function, the _____ can not repeat; this means that each input has exactly one output.

What are the "x-values" or domain?

200

Describe whether or not the relation below is a function: {(3, 2), (-3, 2), (5, 2), (-5, 2)}

This is a function because the x-values/domain does not repeat.

300

 Determine whether or not this is a function.

(-1, 5), (-2, 7), (-1, 9), (-4, 11) 

What is not a function. Because the input -1 has two outputs. 

400

Name four things that make something rational.

What is a fraction, repeating decimal, terminating decimal, perfect square, perfect cube, integer, whole number. 

500

Which ordered pair represents a point that would lie on the graph of the linear function y = 2x - 4? Explain how you know. (2, 4) (6, 8) (-2, 0) or (5, 1)

What is (6, 8) because if you plug in 6 for x into the linear function, the correct output is 8.

Slope

100

Describe the slope of a vertical line.

What is undefined?

200

The slope of the line that passes through points (6, -2) and (4, -2).

What is zero?

300

The following three points are contained in the graph of a line: (2, 1), (4, 0), and (6, -1). What is the slope of the line?

What is -1/2?

400

The slope of the line with the equation 2x + y = 4.

What is -2?

500

The slope of the linear function -3x - 4y = 12.

What is -3/4?

Systems of Equations

100

Solve: x - y = 11 and 2x + y = 19

What is (10, -1)?

200

-6x + 5y = 1 and 6x + 4y = -10

What is (-1, -1)?

300

7x + 2y = 24 Solve. 8x + 2y = 30

What is (6, -9)?

400

3x − 2y = 2 Solve. 5x − 5y = 10

What is (-2, -4)?

500

A test has twenty questions worth 100 points. The test consists of True/False questions worth 3 points each and multiple choice questions worth 11 points each. How many multiple choice questions are on the test?

What is 5 multiple choice questions?

Exponents

100

(5²)⁵

5¹⁰

200

6⁸/6⁵

6³

300

(3²x⁹y^-3)⁴

3⁸x³⁶/y¹²

400

5⁹x⁷y^-5/5³x³y^-9

5⁶x⁴y⁴

500

(4⁴x³y^-2/4²x²y^-5)²

4⁴x²y⁶

Numbers & Operations

100

Write 0.000678 in scientific notation.

What is 6.78 x 10^-4

200

The negative square root of 16 is what type of number (rational or irrational)? Explain.

What is rational? It is a perfect square therefore it is -4.

300

On a number line, the square root of 8 would fall between these two whole numbers.

What is 2 and 3?

400

When dividing scientific notation expressions, you _____ the first factors and ________ the exponents.

What is divide the first factors and subtract the exponents?

500

A rectangular section of a wheat farm has a length of 5 x 10^4 meters and a width of 6 x 10^3 meters. What is the area of the wheat farm? (A = L x W)

What is 3 x 10^8 square meters?