| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.42 |
| Score | 0% | 68% |
What is 7x5 - x5?
| 8x-10 | |
| 8x25 | |
| 8x5 | |
| 6x5 |
To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so subtract the coefficients and retain the base and exponent:
7x5 - 1x5
(7 - 1)x5
6x5
What is \( \frac{7}{4} \) - \( \frac{5}{12} \)?
| 2 \( \frac{8}{17} \) | |
| 2 \( \frac{2}{9} \) | |
| 1\(\frac{1}{3}\) | |
| 1 \( \frac{2}{11} \) |
To subtract these fractions, first find the lowest common multiple of their denominators. The first few multiples of 4 are [4, 8, 12, 16, 20, 24, 28, 32, 36, 40] and the first few multiples of 12 are [12, 24, 36, 48, 60, 72, 84, 96]. The first few multiples they share are [12, 24, 36, 48, 60] making 12 the smallest multiple 4 and 12 share.
Next, convert the fractions so each denominator equals the lowest common multiple:
\( \frac{7 x 3}{4 x 3} \) - \( \frac{5 x 1}{12 x 1} \)
\( \frac{21}{12} \) - \( \frac{5}{12} \)
Now, because the fractions share a common denominator, you can subtract them:
\( \frac{21 - 5}{12} \) = \( \frac{16}{12} \) = 1\(\frac{1}{3}\)
Which of the following is an improper fraction?
\({7 \over 5} \) |
|
\({2 \over 5} \) |
|
\({a \over 5} \) |
|
\(1 {2 \over 5} \) |
A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.
Alex loaned April $900 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?
| $972 | |
| $909 | |
| $963 | |
| $936 |
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 $900
i = 0.04 x $900
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $900 + $36Which of these numbers is a factor of 16?
| 2 | |
| 4 | |
| 12 | |
| 15 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 16 are 1, 2, 4, 8, 16.