| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.09 |
| Score | 0% | 62% |
A bread recipe calls for 3\(\frac{1}{4}\) cups of flour. If you only have \(\frac{3}{4}\) cup, how much more flour is needed?
| 1 cups | |
| 3 cups | |
| 2\(\frac{1}{2}\) cups | |
| 1\(\frac{5}{8}\) cups |
The amount of flour you need is (3\(\frac{1}{4}\) - \(\frac{3}{4}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{26}{8} \) - \( \frac{6}{8} \)) cups
\( \frac{20}{8} \) cups
2\(\frac{1}{2}\) cups
Which of the following is an improper fraction?
\({7 \over 5} \) |
|
\(1 {2 \over 5} \) |
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\({2 \over 5} \) |
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\({a \over 5} \) |
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.
Which of the following statements about exponents is false?
b1 = b |
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b1 = 1 |
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b0 = 1 |
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all of these are false |
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).
In a class of 27 students, 10 are taking German and 10 are taking Spanish. Of the students studying German or Spanish, 6 are taking both courses. How many students are not enrolled in either course?
| 13 | |
| 12 | |
| 15 | |
| 14 |
The number of students taking German or Spanish is 10 + 10 = 20. Of that group of 20, 6 are taking both languages so they've been counted twice (once in the German group and once in the Spanish group). Subtracting them out leaves 20 - 6 = 14 who are taking at least one language. 27 - 14 = 13 students who are not taking either language.
What is the next number in this sequence: 1, 5, 13, 25, 41, __________ ?
| 70 | |
| 59 | |
| 63 | |
| 61 |
The equation for this sequence is:
an = an-1 + 4(n - 1)
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 + 4(6 - 1)
a6 = 41 + 4(5)
a6 = 61