8th Grade LEAP Review 2O26

Functions

100

A taxi service charges a flat fee of $5.00 plus $2.00 for every mile driven. What is the constant rate of change?

$2 per mile

200

This is the specific term for the set of all possible input values (usually) for a function.

Domain

300

This is the name for a function whose graph is a straight line and follows the form y = mx + b

Linear Function

400

A linear function passes through the points (3,11) and (5,17).

Without graphing, determine the value of y when x = -4. Then, explain what the y-intercept of this specific line is.

y = -10 + 2

500

Two different candle companies sell candles that burn at constant rates. 

• Candle A starts at 12 inches tall and is 8 inches tall after 5 hours.
• Candle B is modeled by the equation y = - 0.75x + 10                                                                                                                                  Which candle will disappear first, and exactly how many hours (and minutes) will it take?

Candle B

Scientific Notation

100

What is 8 x 10⁶ ?

8,000,000

200

What is (2.9 x 10⁴) x (7.4 x 10^-2) ?

2.146 x 10³

300

There are 3.76 x 10²² atoms in 1 gram of oxygen, how many atoms are there in 600 grams of oxygen?

2.26 x 10²⁵

400

What is (8.32 x 10⁸) ÷ (2.13 x 10^-3) rounded by the nearest tenth?

3.91 x 10¹¹

500

The mass of the Sun is approximately 1.989 x 10^30kg and the mass of Earth is 5.98 x 10^24kg. To the nearest whole number, how many times bigger is the Sun than the Earth? (No Calculators.)

3.326 x 10^5kg

Rational and Irrational Numbers

100

Is the Square root of 10 Rational or Irrational?

Irrational

200

what is ²√3025?

55

300

What is the value of b for b² = 36/64?

b = 6/8

400

Paula completely covered a square wall using 87.5ft² of wallpaper without any overlap. Which measurement is closest to the side length of this wall in feet?

9ft

500

Which of these expressions represent solutions to the equation y³ = 64

4

Pythagorean Theorem

100

A right triangle has legs that measure 3cm and 4cm What is the length of the hypotenuse?

5cm

200

The hypotenuse of a right triangle is 13 inches long. One of the legs is 5 inches. What is the length of the missing leg?

12 inches

300

A triangle has side lengths of 7, 24, 25 Use the Pythagorean Theorem to determine if this is a right triangle.

Yes, it is a right triangle.

400

A rectangular TV screen has a width of 20 inches and a height of 15 inches. What is the diagonal length of the screen from the bottom-left corner to the top-right corner?

25 inches

500

Imagine a rectangular park that is 80 yards long and 60 yards wide

• The Long Way: You walk along the edge of the park from one corner to the opposite corner (the length then the width).
• The Shortcut: You walk directly across the diagonal of the park.
• Question: How many fewer yards do you walk by taking the shortcut?

40 yards

BONUS

100

Angle LMN has a measure of 35 degrees. The angle is rotated 75 degrees about point M. 

What is the measure of angle L' M' N'?

35 degrees

300

A cereal box has a length of 8 inches, a width of 3 inches, and a height of 12 inches. What is the total volume of the box in cubic inches?

288 inches