Week 1 Post Test !!

Exponents

100

Evaluate the expression 

2⁶

64

200

Identify the base and exponent in 8⁷

What is the base?

Base: 8

300

Express 6 x 6 x 6 x 6 x 6 in exponential form

6⁵

400

Which of the three expressions is equivalent to 9³?

A. 27      B. 729      C. 3x3x3x3x3x3x3x3x3

D. 3⁹       E. 9x9x9    F. 720 - 9⁰

B, E, F 

500

if 3⁸ = 6561, what is the value of 3⁹?

19683

Radicals

100

Evaluate.

Square root of 144

12

200

Find x. 

X² = 49

+/- 7

300

Evaluate the square root of (16/25)

4/5

400

select the correct exponential form for the square root of 35. 

A. 6       B. Square root of 35     

C. 5.9^0.5      D. 35^1/2

D. 35^1/2

500

Solve for x.

x² = 9/25

3/5

Pythagorean Theorem

100

What is the Pythagorean Theorem Equation?

a² + b² = c²

200

If a triangle has a leg with length a = 3 ft and another leg with length b = 4 ft, what is the length of its hypotenuse?

5 ft

300

In a triangle, if its hypotenuse is 13 m and one of the legs is 5 cm, what is the length of the other leg?

12 cm

400

In a triangle, if Length a = 30 ft and Length b = 16 ft, then what is length c? 

34 ft

500

If the hypotenuse of a triangle is 17 in, and one of the sides is 8 in, what is the length of the missing side?

15 in

Cube Roots

100

Evaluate the cube root of (8). 

2

200

Is this a perfect cube? yes or no

120

No

300

evaluate the cube root of (64)

4

400

Find x

x³ = 729

9

500

Evaluate the cube root of (8/27)

2/3

Random

100

Write a power 4 that has a value of 64

3 <- answer

4³ = 64

200

Evaluate the negative square root of 100

-10

300

Create a problem that has a value of 169 using exponential form

13² = 169

400

Find x

4^x - 3⁷ = 1909

x = 6

500

A company has to build a wall around a property. 

How long should the diagonal be in meters so that the corner will be a right angle? Currently the sides are 39 m and 80 m. 

89 m