| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.94 |
| Score | 0% | 59% |
What is \( \frac{-2y^9}{5y^4} \)?
| -\(\frac{2}{5}\)y2\(\frac{1}{4}\) | |
| -\(\frac{2}{5}\)y\(\frac{4}{9}\) | |
| -\(\frac{2}{5}\)y5 | |
| -\(\frac{2}{5}\)y-5 |
To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:
\( \frac{-2y^9}{5y^4} \)
\( \frac{-2}{5} \) y(9 - 4)
-\(\frac{2}{5}\)y5
A factor is a positive __________ that divides evenly into a given number.
fraction |
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integer |
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mixed number |
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improper fraction |
A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 40% off." If Bob buys two shirts, each with a regular price of $37, how much will he pay for both shirts?
| $48.10 | |
| $46.25 | |
| $22.20 | |
| $59.20 |
By buying two shirts, Bob will save $37 x \( \frac{40}{100} \) = \( \frac{$37 x 40}{100} \) = \( \frac{$1480}{100} \) = $14.80 on the second shirt.
So, his total cost will be
$37.00 + ($37.00 - $14.80)
$37.00 + $22.20
$59.20
Which of the following statements about exponents is false?
b1 = 1 |
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all of these are false |
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b0 = 1 |
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b1 = b |
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).
Solve 4 + (3 + 4) ÷ 2 x 4 - 22
| 14 | |
| \(\frac{1}{3}\) | |
| 2\(\frac{2}{3}\) | |
| \(\frac{1}{2}\) |
Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):
4 + (3 + 4) ÷ 2 x 4 - 22
P: 4 + (7) ÷ 2 x 4 - 22
E: 4 + 7 ÷ 2 x 4 - 4
MD: 4 + \( \frac{7}{2} \) x 4 - 4
MD: 4 + \( \frac{28}{2} \) - 4
AS: \( \frac{8}{2} \) + \( \frac{28}{2} \) - 4
AS: \( \frac{36}{2} \) - 4
AS: \( \frac{36 - 8}{2} \)
\( \frac{28}{2} \)
14