CCMS Math 8 Final Review

Non-Calculator

100

What is the definition of a rational number?

Any number that can be written as a fraction where the numerator (top number) and the denominator (bottom number) are integers

200

What is the definition of an irrational number?

A non-repeating, non-terminating number

300

What is the square root of 72? (Round to the nearest tenth)

Approx. 8.5

400

Simplify the expression:

7y³ * 2k⁷ * 5y² * 9k⁴

35y⁵18k¹¹

500

Simplify the expression:

(2m⁰)³ * 7m⁸

56m⁸

Writing & Solving Equations

100

Solve for X.

-18=-5(x-6) + 2

x=10

200

Solve for X

2x - x + 4 = -8

X=-12

300

Solve for X.

5(2x - 3) + 6 = 3(4x - 3) - 2x

x=0

400

You buy a magazine for $5 and four erasers. You spend a total of $25. How much did each eraser cost?

$5

500

Shannon won 40 super bouncy balls playing horseshoes at her schools pep rally. Later, she gave two to each of her friends. She only has 8 bouncy balls remaining. How many friends does Shannon have?

16 friends

Linear Relationships

100

Is the following set of ordered pairs a function?

{(1,3), (3,9), (5,11), (7,21)}

Yes, each input has a different output.

200

The joining fee at the gym is $100. After paying the initial fee, the monthly cost is $23.

Write an equation in slope-intercept form for the total cost of the one-year gym membership.

Y= 23x + 100

300

The joining fee at the gym is $100. After paying the initial fee, the monthly cost is $23.

How much have you paid after 9 months?

$307

400

The joining fee at the gym is $100. After paying the initial fee, the monthly cost is $23.

If you don't want to spend over $500 on going to the gym, how many months can you go before you need to quit the gym?

17 months

500

Yuji recorded the age, in years, and the height, in inches, of his favorite professional baseball team. He records them as ordered pairs (age, height): {(31,74), (29, 76), (25, 72), (28,72), (31, 72), (23, 77), (24, 71), (25, 77), (28, 72), (27, 72)}

Is this a function? Explain.

No, 25 & 31 have two different outputs.

Systems of Equations

100

Solve using SUBSTITUTION. 

−3x − 8y = 20 

−5x + y = 19

One Solution

(-4,-1)

200

Solve using SUBSTITUTION.

−5x + y = −3 

3x − 8y = 24

(0,-3)

300

Solve using ELIMINATION

−6x + 5y = 1 

6x + 4y = −10

(-1,-1)

400

Solve using ELIMINATION.

7x + 2y = 24 

8x + 2y = 30

(6, -9)

500

Solve using ELIMINATION.

2x + 8y = 6 

−5x − 20y = −15

Infinite number of solutions.

Geometry

100

A cylinder with a radius of 4 yd and a height of 5 yd.

251.3 yd³

200

A square prism measuring 6 km along each edge of the base and 5 km tall.

180 km³

300

A cone with diameter 14 yd and a height of 14 yd.

718.4 yd³

400

A cone with diameter 20 cm and a height of 20 cm.

2094.4 cm³

500

A sphere with a diameter of 10 ft.

523.6 ft³