| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.11 |
| Score | 0% | 62% |
\({b + c \over a} = {b \over a} + {c \over a}\) defines which of the following?
distributive property for division |
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commutative property for multiplication |
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commutative property for division |
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distributive property for multiplication |
The distributive property for division helps in solving expressions like \({b + c \over a}\). It specifies that the result of dividing a fraction with multiple terms in the numerator and one term in the denominator can be obtained by dividing each term individually and then totaling the results: \({b + c \over a} = {b \over a} + {c \over a}\). For example, \({a^3 + 6a^2 \over a^2} = {a^3 \over a^2} + {6a^2 \over a^2} = a + 6\).
Christine scored 92% on her final exam. If each question was worth 4 points and there were 240 possible points on the exam, how many questions did Christine answer correctly?
| 43 | |
| 55 | |
| 58 | |
| 70 |
Christine scored 92% on the test meaning she earned 92% of the possible points on the test. There were 240 possible points on the test so she earned 240 x 0.92 = 220 points. Each question is worth 4 points so she got \( \frac{220}{4} \) = 55 questions right.
Bob loaned Roger $600 at an annual interest rate of 8%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $48 | |
| $39 | |
| $24 | |
| $13 |
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 $600
i = 0.08 x $600
i = $48
This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.
distributive |
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associative |
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commutative |
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PEDMAS |
The commutative property states that, when adding or multiplying numbers, the order in which they're added or multiplied does not matter. For example, 3 + 4 and 4 + 3 give the same result, as do 3 x 4 and 4 x 3.
Which of the following is not a prime number?
9 |
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2 |
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7 |
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5 |
A prime number is an integer greater than 1 that has no factors other than 1 and itself. Examples of prime numbers include 2, 3, 5, 7, and 11.