Algebra 1
Geometry
Algebra 2
Mixed Challenge (Algebra)
Mixed Challenge (Geometry)
100

Solve for x:

2x+5=15

5

100

Two angles in a triangle are 45° and 75°. What is the third angle?

60° 

100

Factor x2-9

(x+3)(x-3)

100

A rectangle's length is twice its width. If the area is 50, find the diagonal length

5(5)1/2

100

Find the area of a square with perimeter 20

25

200

Find the slope of the line passing through (3,7) and (5,11)

m=2

200

Find the hypotenuse of the right triangle with legs 3 and 4

5

200

Solve 2x=16

x=4

200

Solve x2-4x=0

x=0,2,-2

200

Two supplementary angles differ by 50 degrees. Find the larger angle

115 degrees

300

Solve the inequality: 

3x-4≤ 8

x≤ 4

300

The circumference of a circle is 20π. What is its radius?

10

300

Rewrite y=x2+6x+8 in vertex form

y=(x+3)2-1

300

Factor 2x2+5x+3

(2x+3)(x+1)

300

Triangle ABC is similar to DEF. If AB=6 and DE=18, find EF if BC=4

12

400

Write the equation of the line parallel to y=2x+3 that passes through (1,5)

y=2x+3

400

A sector of a circle with radius 6 has a central angle of 60°. What is its area?

6π 

400

A bacteria population doubles every hour. If it starts at 100, what is the population after 5 hours?

3,200

400

The function f(x)=2e0.1xmodels growth. What is the growth rate?

10%

400

Find the area of a circle with radius 5

25π 

500

A car rental costs $30/day plus $0.25/mile. If you have $200, how many miles can you drive in 3 days?

440 miles

500

In right triangle ABC, AC=5 and BC=12. Find the length of the altitude from C

60/13

500

Solve 3x2-7x+2=0 using the quadratic formula 

x=2 or x=1/3

500

Solve (2x+3)1/2=5

x=11

500

A rectangle has length 10 and width 5. What is the length of its diagonal?

5(5)1/2