Math Word Problems

Exponent Law's Review

Multiple Choice

Anything raised to a power of zero is always: 

• 0
• 1
• itself
• negative

Multiple Choice

$$365^0=$$  

• 0

• 1

• 365

• $$\frac{1}{365}$$  

Multiple Choice

Which is greater, 2654⁰ or 5⁰?

• 2654⁰

• 5⁰

• They are the same

• Zero is greater

Multiple Choice

Simplify:
9³ ⋅ 9^{4 =} 9¹²

• True 
• False 

Multiple Choice

a²³ x a⁸ =

• a¹³⁴

• a¹⁵

• a⁴

• a³¹

Multiple Choice

Simplify:

5³ x 5⁷ x 5²

• 5⁴²

• 15¹³

• 5¹²

• 125⁴²

Multiple Choice

Simplify: 
(2⁸)²

• 2¹⁶
• 2¹⁰
• 2⁶
• 2⁴

Multiple Choice

Which expression is equivalent to
(5³)⁴ ?

• 5⁷
• 1/5
• 5¹²
• 20³

Multiple Choice

(5²)³

• 5⁵
• 125⁶
• 5⁶

Word Problems

Multiple Choice

Which statement is true when converting the fraction 1/3 to a decimal?

• The decimal form of 1/3 does not repeat

• The decimal form of 1/3 is a repeating decimal

• The decimal form of 1/3 does not repeat or terminate

• The decimal form of 1/3 is a whole number

Multiple Choice

In an animal shelter, 5 out of 9 dogs weigh more than 30 pounds. What is the decimal equivalent for the number of dogs weighing more than 30 pounds?

Multiple Choice

A company loses $205 as a result of a delay. The 5 owners of the company must share the loss equally. Which quotient represents each owner's share of the loss?

• 205 $$\div$$  5

• -205 $$\div$$  5

• -205 $$\div$$ - 5

• 205 $$\div$$ - 5

Multiple Choice

Xavier had $250 in his bank account. His bank charges a fee of $5.50 for every month that his balance is below $500. If he makes no other deposits or withdrawals, how much money will be in Xavier's account at the end of three months?

• $250

• $266.50

• $233.50

Multiple Choice

If p is a positive number and n is a negative number, which statement is true?

• p + n is always negative

• p + n is always positive

• p + n could be positive or negative

• p + n is awlays 0

Multiple Choice

Brooke runs up 6 flights of stairs and then runs down 6 flights of stairs. Does this situation represent additive inverses?

• Yes, the numbers combine to 12

• Yes, the numbers combine to zero

• No, both numbers are represented by the same integer

• No, the numbers can not be added together

Multiple Choice

An astronaut is returning to Earth in a spacecraft. If the spacecraft is decending at a rate of 14 kilometers per minute, what will be its change in height after 5 1/2 minutes? Round your answer to the nearest kilometer.

• 77 km

• -77 km

• 770 km

• -770 km

Multiple Choice

Mrs. Ghant and Mrs. Brown are at a pool. Mrs. Ghant dives in and touches the bottom of the pool, 20 feet below the surface of the water. Mrs. Brown is standing on a diving board 3 feet above the pool, waiting her turn. What is the vertical distance between Mrs. Ghant and Mrs. Brown?

• 17 feet

• 23 feet

• -17 feet

• -23 feet

Multiple Choice

Chris is scuba diving. He starts at sea level and then decents 25 feet in 2 1/2 minutes. What is Chris's rate of change each minute?

• 10 ft/min

• 37.5 ft/min

• -10 ft/min

• -37.5 ft/min

Multiple Choice

Brian mowed lawns for a week to earn some spending money. The table shows the time he spent mowing lawns for the one week. Approximately how many hours did Brian spend mowing lawns during the week?

• 10 hours

• 15 hours

• 7 hours

• 3 hours

Multiple Choice

The 7 swimmers of a swim team totaled their times for the 25-yard freestyle race. The swimmers swam for a total of 118.76 seconds. If all the swimmers' times were approximately the same, which is closest to the time for 1 swimmer?

• 10 seconds

• 14 seconds

• 17 seconds

• 21 seconds