| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.54 |
| Score | 0% | 71% |
A bread recipe calls for 2\(\frac{1}{4}\) cups of flour. If you only have 1\(\frac{1}{2}\) cups, how much more flour is needed?
| \(\frac{3}{4}\) cups | |
| 2\(\frac{1}{8}\) cups | |
| 1\(\frac{1}{4}\) cups | |
| 2 cups |
The amount of flour you need is (2\(\frac{1}{4}\) - 1\(\frac{1}{2}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{18}{8} \) - \( \frac{12}{8} \)) cups
\( \frac{6}{8} \) cups
\(\frac{3}{4}\) cups
What is the next number in this sequence: 1, 8, 15, 22, 29, __________ ?
| 36 | |
| 39 | |
| 28 | |
| 41 |
The equation for this sequence is:
an = an-1 + 7
where n is the term's order in the sequence, an is the value of the term, and an-1 is the value of the term before an. This makes the next number:
a6 = a5 + 7
a6 = 29 + 7
a6 = 36
Convert 0.0006123 to scientific notation.
| 6.123 x 10-3 | |
| 6.123 x 10-4 | |
| 6.123 x 10-5 | |
| 61.23 x 10-5 |
A number in scientific notation has the format 0.000 x 10exponent. To convert to scientific notation, move the decimal point to the right or the left until the number is a decimal between 1 and 10. The exponent of the 10 is the number of places you moved the decimal point and is positive if you moved the decimal point to the left and negative if you moved it to the right:
0.0006123 in scientific notation is 6.123 x 10-4
If all of a roofing company's 6 workers are required to staff 3 roofing crews, how many workers need to be added during the busy season in order to send 6 complete crews out on jobs?
| 17 | |
| 3 | |
| 15 | |
| 6 |
In order to find how many additional workers are needed to staff the extra crews you first need to calculate how many workers are on a crew. There are 6 workers at the company now and that's enough to staff 3 crews so there are \( \frac{6}{3} \) = 2 workers on a crew. 6 crews are needed for the busy season which, at 2 workers per crew, means that the roofing company will need 6 x 2 = 12 total workers to staff the crews during the busy season. The company already employs 6 workers so they need to add 12 - 6 = 6 new staff for the busy season.
Which of the following is a mixed number?
\(1 {2 \over 5} \) |
|
\({5 \over 7} \) |
|
\({a \over 5} \) |
|
\({7 \over 5} \) |
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.