| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.83 |
| Score | 0% | 57% |
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 10% off." If Frank buys two shirts, each with a regular price of $35, how much money will he save?
| $15.75 | |
| $10.50 | |
| $3.50 | |
| $17.50 |
By buying two shirts, Frank will save $35 x \( \frac{10}{100} \) = \( \frac{$35 x 10}{100} \) = \( \frac{$350}{100} \) = $3.50 on the second shirt.
What is \( \frac{5b^5}{9b^2} \)?
| \(\frac{5}{9}\)b-3 | |
| 1\(\frac{4}{5}\)b3 | |
| 1\(\frac{4}{5}\)b7 | |
| \(\frac{5}{9}\)b3 |
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:
\( \frac{5b^5}{9b^2} \)
\( \frac{5}{9} \) b(5 - 2)
\(\frac{5}{9}\)b3
a(b + c) = ab + ac defines which of the following?
distributive property for division |
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commutative property for division |
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distributive property for multiplication |
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commutative property for multiplication |
The distributive property for multiplication helps in solving expressions like a(b + c). It specifies that the result of multiplying one number by the sum or difference of two numbers can be obtained by multiplying each number individually and then totaling the results: a(b + c) = ab + ac. For example, 4(10-5) = (4 x 10) - (4 x 5) = 40 - 20 = 20.
What is \( 2 \)\( \sqrt{12} \) + \( 7 \)\( \sqrt{3} \)
| 14\( \sqrt{12} \) | |
| 9\( \sqrt{3} \) | |
| 9\( \sqrt{12} \) | |
| 11\( \sqrt{3} \) |
To add these radicals together their radicands must be the same:
2\( \sqrt{12} \) + 7\( \sqrt{3} \)
2\( \sqrt{4 \times 3} \) + 7\( \sqrt{3} \)
2\( \sqrt{2^2 \times 3} \) + 7\( \sqrt{3} \)
(2)(2)\( \sqrt{3} \) + 7\( \sqrt{3} \)
4\( \sqrt{3} \) + 7\( \sqrt{3} \)
Now that the radicands are identical, you can add them together:
4\( \sqrt{3} \) + 7\( \sqrt{3} \)Which of the following statements about exponents is false?
b0 = 1 |
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b1 = b |
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b1 = 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).