Math Challenge

Geometry

100

What shape has five sides?

Pentagon

200

Find the hypotenuse of a triangle that has a base of 8cm and a height of 6cm. 

10cm

300

What does perpendicular mean?

When a line intersects at right angles (90°) to another line, plane, or surface.

400

Find the area of a square with a side length of 

-2(x-3)+7 

If x is equal to -2. 

Area = 289

500

You have a rectangle with a base of x+4 and a height of x. The perimeter is 36. Solve for x 

x=7

Graphing

100

When graphing a linear equation and it crosses the y axis what do we call it.

y-intercept

200

What is the y-intercept of this line

y= 4x-3

b= -3

300

What is the slope intercept form of a line?

y=mx+b

400

What is the slope of a line that passes through the points (-3, -2) and (4, -1)

m= 1/7

500

Put this equation in slope-intercept form. 

2x-3y = 6

y= 2/3x - 2

Equations

100

2x + 5 = 17

x=6

200

3x+4-6x-2=14

x=-4

300

2/3x - 4 = -10

x=-9

400

2/5(x-3)= 4

x= 13

500

4/3x + 2 = -1/4

Write your answer as a mixed number or improper fraction. 

21/16 or 1 5/16

Integers

100

-4 ÷ (-2 x -1)

-2

200

(-5 + -8) (1- -6)

-91

300

1 + (5- -9) ÷ -2

-6

400

(14+ -17) ÷ -1 x 4 x -3

-36

500

11 x -4 + (12- -1) x 5

21

Roots

100

Find the cube root of -√125

-5

200

Find the square root of √36/81

6/9

300

Evaluate the expression 12 - √16

8

400

Evaluate the expression 3∛27 - 16

-7

500

A trampoline has an area of 49π square feet. What is the diameter of the trampoline?

14 feet