8th Grade Jeopardy

Pythagorean Theorem

100

Determine whether the triangle with the given side lengths is a right triangle.

Base=14, Height=16, Hypotenuse=18

Not a right triangle. 

200

The base of a right triangle is 9in. The height of the triangle is 12in. Find the hypotenuse.

15in

300

The base of a right triangle is 6in. The hypotenuse is 10in. Find the height of the right triangle.

8in

400

A 17 foot ladder is leaning against a building. The top of the ladder hits the building at 15 feet above the ground. Determine the distance between the building and the bottom of the ladder. 

The ladder is 8 feet from the building.

500

Scott wants to swim across a river that is 35m wide. He begins swimming perpendicular to the shore; he started from but ends up 15m down river from where he started because of the current. How far did he actually swim from his starting point?

He swam 37m

Solving Equations

100

-3 + x = -10

x=-7

200

x/4 - 2 = 5

x=28

300

-10x + 6 = 74

x= -6.8

400

1/6 (x +12)= -4

-36

500

-6(-4x + 2) + 4(3 + 4x) = 96

x= -12

Graphing

100

Does the point (-3,4) lie on the line y=2x+3 ?

No it does not. 

200

What is the slope of a vertical line?

Undefined. 

300

Identify the slope and y-intercept of the line. 

y= -2x- 3

slope = -2/1

Y-intercept= -3

400

Find the slope of the line that intersects at the following points. 

(0,-4)  (3,-2)

Slope= 2/3

500

Determine if the table represents a linear or nonlinear function? Explain.

x   3    6     9   12 

y   1   10   19   28

As x increases by 3, y increases by 9

So, the function is linear. 

Exponents and Roots

100

Simplify the expression 10⁷ / 10³ 

10⁴

200

Without evaluating, order 5⁰, 5⁴, 5^-5 from least to greatest. 

5^-5, 5⁰, 5⁴

300

Evaluate the expression 6^-2

1/36

400

Evaluate the expression. 

3d^-4 x 4d⁴

12

500

Describe and correct the error in evaluating the expression. 

(4)^-3 = (-4)(-4)(-4) = -64

The negative sign goes with the exponent, not the base. 

The answer should be 1/64. 

Geometry

100

What do you call a shape with five sides?

Pentagon.

200

A photographer is framing a rectangular photo with an area of 135 square inches. If the length of the photo is 9 inches, what is the height of the photo?

15 inches. 

300

If a cube has a base of 12cm. What is the volume of the cube?

12³ = 1728

400

What are two rules that classify a polygon?

A polygon is a plane figure made of line segments that form a closed chain. 

1. Must have straight sides

2. Must be closed.  

500

The interior angles of an isosceles triangle have a sum of 180 degrees. If two angles have a measurement of x+12 and the third angle has a measurement of x; solve for x and determine the measurement of each interior angle of the triangle. 

x=52, 

Angle 1: 52 degrees

Angle 2: 64 degrees 

Angle 3: 64 degrees