| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.87 |
| Score | 0% | 57% |
Which of the following is not an integer?
0 |
|
-1 |
|
\({1 \over 2}\) |
|
1 |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.
Damon loaned Monica $400 at an annual interest rate of 4%. If no payments are made, what is the total amount owed at the end of the first year?
| $432 | |
| $420 | |
| $424 | |
| $416 |
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 $400
i = 0.04 x $400
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $400 + $16What is \( 3 \)\( \sqrt{63} \) - \( 7 \)\( \sqrt{7} \)
| 21\( \sqrt{7} \) | |
| -4\( \sqrt{40} \) | |
| 21\( \sqrt{63} \) | |
| 2\( \sqrt{7} \) |
To subtract these radicals together their radicands must be the same:
3\( \sqrt{63} \) - 7\( \sqrt{7} \)
3\( \sqrt{9 \times 7} \) - 7\( \sqrt{7} \)
3\( \sqrt{3^2 \times 7} \) - 7\( \sqrt{7} \)
(3)(3)\( \sqrt{7} \) - 7\( \sqrt{7} \)
9\( \sqrt{7} \) - 7\( \sqrt{7} \)
Now that the radicands are identical, you can subtract them:
9\( \sqrt{7} \) - 7\( \sqrt{7} \)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).
A sports card collection contains football, baseball, and basketball cards. If the ratio of football to baseball cards is 3 to 2 and the ratio of baseball to basketball cards is 3 to 1, what is the ratio of football to basketball cards?
| 1:1 | |
| 9:2 | |
| 1:6 | |
| 7:4 |
The ratio of football cards to baseball cards is 3:2 and the ratio of baseball cards to basketball cards is 3:1. To solve this problem, we need the baseball card side of each ratio to be equal so we need to rewrite the ratios in terms of a common number of baseball cards. (Think of this like finding the common denominator when adding fractions.) The ratio of football to baseball cards can also be written as 9:6 and the ratio of baseball cards to basketball cards as 6:2. So, the ratio of football cards to basketball cards is football:baseball, baseball:basketball or 9:6, 6:2 which reduces to 9:2.