| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.48 |
| Score | 0% | 70% |
What is (b3)5?
| b8 | |
| 5b3 | |
| b15 | |
| b2 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(b3)5A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 20% off." If Alex buys two shirts, each with a regular price of $32, how much money will he save?
| $6.40 | |
| $4.80 | |
| $8.00 | |
| $1.60 |
By buying two shirts, Alex will save $32 x \( \frac{20}{100} \) = \( \frac{$32 x 20}{100} \) = \( \frac{$640}{100} \) = $6.40 on the second shirt.
If a car travels 175 miles in 5 hours, what is the average speed?
| 35 mph | |
| 60 mph | |
| 70 mph | |
| 45 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)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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commutative property for multiplication |
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distributive 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 \( 3 \)\( \sqrt{48} \) - \( 2 \)\( \sqrt{3} \)
| 6\( \sqrt{48} \) | |
| \( \sqrt{16} \) | |
| 10\( \sqrt{3} \) | |
| \( \sqrt{-7} \) |
To subtract these radicals together their radicands must be the same:
3\( \sqrt{48} \) - 2\( \sqrt{3} \)
3\( \sqrt{16 \times 3} \) - 2\( \sqrt{3} \)
3\( \sqrt{4^2 \times 3} \) - 2\( \sqrt{3} \)
(3)(4)\( \sqrt{3} \) - 2\( \sqrt{3} \)
12\( \sqrt{3} \) - 2\( \sqrt{3} \)
Now that the radicands are identical, you can subtract them:
12\( \sqrt{3} \) - 2\( \sqrt{3} \)