8th Grade Math MCAS Review - Magleby

Number Sense

100

x⁴⁰ * x²⁰

x⁶⁰

200

Calculate: 8 - (-5 + 3 x 7) =

-8

300

6⁵ divided by 6¹⁰

6^-5

400

What two integers is the square root of 110 between? 

10 (which equals the square root of 100) and 11 (which equals the square root of 121)

500

What two integers is the square root of 200 between? 

14 (which equals square root of 196) and 15 (which equals square root of 225). It's closer to 14!

Algebra

100

What is the slope of the line represented by the equation below? y = 1/2 x + 3 

1/2

200

John knows two of the angle measures of triangle PQR. Angle Q is 75 degrees and angle R is 51 degrees. What is the measure of angle P?

54 degrees 

300

Verizon charges a $10 line fee plus $.05 per text and AT&T charges a $7 line fee plus $.10 per text. At how many texts will both companies charge the same?

60 texts

400

At her job, Alexa is paid $12.00 per hour. When she drives her car for work she is paid an additional 32.5 cents per mile. What expression can be used to find the amount she is paid, in dollars, when she works h hours and drives m miles in her car

12 h + 0.325m

500

A rectangular field has a length of 160 feet and a width of 120 feet. What is the length of a diagonal of the field?

200 feet 

(Use the Pythagorean Theorem!)

Measure/Data

100

Write 2.3 * 10² in standard form. 

230

200

What is (6.6 x 10⁴) divided by (2.2 x 10⁷)? Write your answer in scientific notation and standard form. 

Scientific Notation: 3.0 * 10^-3

Standard Form: 0.003

300

The area of a square is 49 square inches. What is the length of one side of the square?

7 inches **Must have your answer labeled inches or it will be incorrect!!

400

(〖(2〗^2 )^3)/2^4

4

500

A shipping box is in the shape of a rectangular. It has a length of 12 inches and a width of 6 inches What is the diagonal length, in inches, of the shipping box to the nearest tenth?

13.4 inches

Math Vocab

100

Find the volume of a cylinder with a diameter of 10 and a height that is twice the diameter. 

V = pi*r²*h

r = 5

h = 20 

V = 25*20*pi = 500pi, or about 1,570 units cubed

200

What is the domain of a graph?

the x values

300

What is the definition of a function?

Where every input has only one output. 

400

Explain the difference between rational and irrational numbers. 

Rational: ratios of whole numbers. If decimals they terminate (0.25) or repeat (0.33333....)

Irrational: numbers that cannot be written as a ratio. If written as a decimal they go on forever (like pi or square root of 2)

500

What is the Pythagorean Theorem and when do we use it? 

a² + b² = c²

^{We use it to find side lengths of right triangles.} 

Linear Functions

100

Write an equation for a line that has a steeper slope than y = 28x + 90

any equation where the slope is greater than 28

200

What kind of slopes do parallel lines have? 

What kind of y-intercepts to parallel lines have? 

Same slope, different y-intercept. 

300

Write an equation for a line that is perpendicular to 

y = 3x + 2 and goes through (0, 5) 

Slope is opposite reciprocal of 3, so slope is -1/3

It goes through (0, 5), so y-intercept is 5:

y = -1/3x + 5 

400

Jasyia has $500, but he spends $2.50 a day buying Ms. M coffee. How many days does Ms. M get free coffee? 

y = -2.5x + 500

when will y = 0?

0 = -2.5x + 500

x = 200. 200 days of coffee. Thanks, Jasyia! 

500

How do you write a linear equation from a table? 

Find change in y/change in x, which is the slope.

Find y value when x = 0. This is the y-intercept. Write in y=mx + b form