| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.25 |
| Score | 0% | 65% |
Solve 4 + (3 + 5) ÷ 3 x 3 - 42
| \(\frac{2}{3}\) | |
| 4\(\frac{1}{2}\) | |
| 2 | |
| -4 |
Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):
4 + (3 + 5) ÷ 3 x 3 - 42
P: 4 + (8) ÷ 3 x 3 - 42
E: 4 + 8 ÷ 3 x 3 - 16
MD: 4 + \( \frac{8}{3} \) x 3 - 16
MD: 4 + \( \frac{24}{3} \) - 16
AS: \( \frac{12}{3} \) + \( \frac{24}{3} \) - 16
AS: \( \frac{36}{3} \) - 16
AS: \( \frac{36 - 48}{3} \)
\( \frac{-12}{3} \)
-4
Ezra loaned Damon $1,000 at an annual interest rate of 3%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $84 | |
| $66 | |
| $11 | |
| $30 |
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 = 0.03 x $1,000
i = $30
Which of the following is not a prime number?
9 |
|
2 |
|
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.
What is (y3)3?
| y0 | |
| y6 | |
| 3y3 | |
| y9 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(y3)3\({b + c \over a} = {b \over a} + {c \over a}\) defines which of the following?
distributive property for division |
|
commutative property for multiplication |
|
commutative property for division |
|
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, \({a^3 + 6a^2 \over a^2} = {a^3 \over a^2} + {6a^2 \over a^2} = a + 6\).