Grade 8 Reference Sheet

PSSA 8th Grade Formulas

By Sallymar Tomassini Lebron

Language Objective:

Students will use academic vocabulary related to math formulas to explain and apply formulas in complete sentences during problem-solving and review activities.

Success Criteria

I can solve real-world and mathematical problems using the correct formula.

Grade 8 Reference Sheet

Click HERE for the Formulas.

Use the formula sheet to answer the questions. Use the Desmos Calculator HERE.

Multiple Choice

What is the formula for the volume of a cone?

Multiple Choice

A cone-shaped dispenser is filled with cake frosting . The cone has a radius of 1 .5 inches and a height of 5 inches . Which measurement is closest to the volume of cake frosting that the cone-shaped dispenser holds?

• 3.75

• 47.12

• 11.78

• 141.37

Multiple Choice

What is the formula for the volume of a sphere?

Multiple Choice

When a sphere has a volume of 972π, what is the radius of the sphere?

• 9
• 7
• 18
• 21

Multiple Choice

If a tennis ball has a diameter of 14, What is the volume of the tennis ball? Use 3.14 for pi.

• 345.8
• 523.6
• 1436
• 205.1

Multiple Choice

What is the formula of Pythagorean Theorem?

Multiple Choice

• The diagonal is 26 ft

• The diagonal is 31 ft

• The diagonal is 21.8 ft

• The diagonal is 20.9 ft

Multiple Choice

A 10-foot ladder is leaning against the wall.  The bottom of the ladder is 4 feet from the base of the wall.  Which of the following is closest to the distance from the top of the ladder to the base of the wall?

• 9ft
• 11ft
• 6ft
• 14ft

Multiple Choice

What is the formula of the slope-intercept form?

Multiple Choice

A line on a coordinate grid is shown below. Which equation can be used to determine the slope (m) of the line?

Multiple Choice

Write the equation of the line.

• y = -2/3x + 4
• y = 2/3x + 4
• y = 3/2x + 4
• y = -3/2x + 4

Multiple Choice

The local service center advertises that it charges a flat fee of $50 plus $8 per mile to tow a vehicle. Write an equation that represents the total cost (C) of a service for m miles of towing.

• y = 8x + 50

• C = 50m +8

• y = 50x + 8

• C = 8m + 50

Multiple Choice

A library charges a flat fee of $0.50 for keeping a book past its due date. The library also charges $0.15 for each day the book is overdue. The table shown below represents some of the library’s fees. What is the total fee when a library book is 2 days overdue?

• $0.70

• $0.75

• $0.80

• $0.90

Multiple Choice

• A
• B
• C
• D

Multiple Choice

A science experiment requires students to find the mass of a bucket with different numbers of pennies in it. The table below shows the total masses, in grams, of the bucket with different numbers of pennies in the bucket. Which equation represents the relationship between the total mass (y), in grams, of the bucket and the number of pennies (x) in the bucket?

• $$y=2.5x$$

• $$y=2.5x+250$$

• $$y=250x$$

• $$y=250x+2.5$$

Multiple Choice

What is the formula for the volume of a sphere?

Multiple Choice

Michael stacks 14 identical disks to form a cylinder.

·      Each disk is $$\frac{1}{4}$$  inch thick.
·      The diameter of each disk is 3 inches.

Which measurement is closest to the volume, in cubic inches, of the stack of disks?

• 7

• 25

• 99

• 396

Multiple Choice

Solve without calculator. Which expression is equivalent to $$\left(4^4\right)^2\cdot\left(4^7\right)^{-2}$$

• $$\frac{1}{4^3}$$

• $$\frac{1}{4^6}$$

• $$4^{11}$$

• $$4^{30}$$

Multiple Choice

Use the distance formula to find the distance between the points (1, 5) and (3, 8). Round to one decimal place if necessary.

• 7

• 5.4

• 2.2

• 3.6