| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.14 |
| Score | 0% | 63% |
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 5% off." If Bob buys two shirts, each with a regular price of $31, how much money will he save?
| $10.85 | |
| $1.55 | |
| $4.65 | |
| $7.75 |
By buying two shirts, Bob will save $31 x \( \frac{5}{100} \) = \( \frac{$31 x 5}{100} \) = \( \frac{$155}{100} \) = $1.55 on the second shirt.
What is \( \frac{16\sqrt{8}}{8\sqrt{4}} \)?
| \(\frac{1}{2}\) \( \sqrt{2} \) | |
| \(\frac{1}{2}\) \( \sqrt{\frac{1}{2}} \) | |
| 2 \( \sqrt{\frac{1}{2}} \) | |
| 2 \( \sqrt{2} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{16\sqrt{8}}{8\sqrt{4}} \)
\( \frac{16}{8} \) \( \sqrt{\frac{8}{4}} \)
2 \( \sqrt{2} \)
Ezra loaned Bob $300 at an annual interest rate of 6%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $8 | |
| $65 | |
| $18 | |
| $75 |
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 $300
i = 0.06 x $300
i = $18
Which of the following statements about exponents is false?
b0 = 1 |
|
all of these are false |
|
b1 = b |
|
b1 = 1 |
A number with an exponent (be) consists of a base (b) raised to a power (e). The exponent indicates the number of times that the base is multiplied by itself. A base with an exponent of 1 equals the base (b1 = b) and a base with an exponent of 0 equals 1 ( (b0 = 1).
\({b + c \over a} = {b \over a} + {c \over a}\) defines which of the following?
distributive property for multiplication |
|
commutative property for division |
|
commutative property for multiplication |
|
distributive property for division |
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, \({a^3 + 6a^2 \over a^2} = {a^3 \over a^2} + {6a^2 \over a^2} = a + 6\).