8th Grade STAAR Math Review

Pythagorean Theorem

100

The only kind of triangle that can use the Pythagorean Theorem.

What is a right triangle?

200

The longest side of a right triangle.

What is the hypotenuse?

300

A ladder is leaning against a wall. The bottom of the ladder is 9 feet away from the wall, and the ladder reaches 12 feet up the wall. How long is the ladder?

 a = feet from the wall

b = height of the wall 

c = ladder

What is 15 ft? 

400

A soccer field has a rectangular practice area that is 11 meters wide and 14 meters long. A player kicks the ball diagonally across the practice area. About how far does the ball travel?

What is 17.8 m? 

500

A kite string is 25 feet long. The kite is flying 24 feet above the ground. How far away from the person holding the string is the kite horizontally?

What is 7 ft? 

Functions & Relationships

100

A car rental company charges a flat fee of $20 plus $5 for every hour the car is rented. Which number represents the slope of this situation, and what does it mean?

What is $5 per hour? 

200

Find the slope from this table: 

(1,8)

(3,14)

(5,20)

(7,26)

What is m=3?

300

Find the equation in the form y = mx + b

(0, 18)

(2, 14)

(4, 10)

(6, 6)

What is y = -2x + 18? 

400

Ture or False: The points {(5, 2), (1, 2), (3, 2), (-4, 2)} make a function.

What is TRUE?

500

This x-value will make the following not a function: {(?, -2), (1, -4), (3, 9), (5, 7)}.

What is 1 or 3 or 5?

Volume & Surface Area

100

A sphere has a diameter of 12 cm. Find its volume.

What is 904.77 cm^3 (or 288pi)? 

200

A cone has a radius of 4 in and a height of 9 in. Find its volume.

What is 150.79 in^3 (or 48pi)? 

300

A cylinder has a radius of 3 m and a height of 7 m.
Find both the volume and the total surface area, and identify which is which. 

What is... 

Volume: 63pi or 197.92 m^3

Surface: 60pi or 188.4 m^2

400

A rectangular prism has dimensions: 

L = 8, W = 5, H = 3

Find the lateral AND total surface area (in cm)

What is: 

Lateral: 78 cm^2

Total: 158 cm^2

500

Find the total surface area of the TRIANGULAR prism (all dimensions = inches)

Base triangle with b = 6, h = 4, and two equal sides of 5 

Height of prism: 10

What is 160 in^2?

Solving Equations

100

Solve for x:
4x + 5 = 8x - 3

What is x=2? 

200

Solve for x: 

3x + 5 + 2x = 25 - x

What is x = 10/3? 

300

A gym offers two membership plans.
Plan A charges $15 per month plus $3 per class.
Plan B charges $27 per month plus $1 per class.

After how many classes will the two plans cost the same?
Let x be the number of classes and set up an equation to solve.

What is 6 classes? 

400

At a movie theater, one adult ticket costs the same as a child ticket plus $4.
A group buys 3 adult tickets and 2 child tickets for a total of $38.
Let x be the cost of a child ticket. Write and solve an equation to find x.

What is $5.20? 

500

(x/4) + 3 = (x/2) - 1

Solve for x

What is x=16? 

Transformations

100

Algebraic representation: (x, y)-->(kx, ky)

What type of transformation occurred? 

What is a dilation?

200

A figure was translated 7 units to the left and 2 units up. What is the algebraic representation the transformation? 

What is (x,y) --> (x-7, y+2)?

300

What is the formula for scale factor? 

What is new / original? 

400

A point was transformed from (4, -5) to (-4, -5). What type of transformation occurred? 

What is reflection over the y-axis? 

500

Algebraic representation: (x, y)-->(-y, x)

What type of transformation occurred? 

What is a 270 degree rotation?