| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.61 |
| Score | 0% | 72% |
Ezra loaned Diane $1,000 at an annual interest rate of 6%. If no payments are made, what is the total amount owed at the end of the first year?
| $1,090 | |
| $1,070 | |
| $1,030 | |
| $1,060 |
The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:
interest = annual interest rate x loan amount
i = (\( \frac{6}{100} \)) x $1,000
i = 0.06 x $1,000
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $1,000 + $60Which of these numbers is a factor of 48?
| 14 | |
| 3 | |
| 35 | |
| 49 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48.
What is the distance in miles of a trip that takes 6 hours at an average speed of 55 miles per hour?
| 330 miles | |
| 320 miles | |
| 315 miles | |
| 50 miles |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Solving for distance:
distance = \( \text{speed} \times \text{time} \)
distance = \( 55mph \times 6h \)
330 miles
a(b + c) = ab + ac defines which of the following?
commutative property for multiplication |
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distributive property for division |
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distributive property for multiplication |
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commutative property for division |
The distributive property for multiplication helps in solving expressions like a(b + c). It specifies that the result of multiplying one number by the sum or difference of two numbers can be obtained by multiplying each number individually and then totaling the results: a(b + c) = ab + ac. For example, 4(10-5) = (4 x 10) - (4 x 5) = 40 - 20 = 20.
A bread recipe calls for 2\(\frac{1}{4}\) cups of flour. If you only have \(\frac{5}{8}\) cup, how much more flour is needed?
| \(\frac{3}{8}\) cups | |
| 1\(\frac{5}{8}\) cups | |
| \(\frac{1}{4}\) cups | |
| 2\(\frac{1}{4}\) cups |
The amount of flour you need is (2\(\frac{1}{4}\) - \(\frac{5}{8}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{18}{8} \) - \( \frac{5}{8} \)) cups
\( \frac{13}{8} \) cups
1\(\frac{5}{8}\) cups