| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.13 |
| Score | 0% | 63% |
How many 1 gallon cans worth of fuel would you need to pour into an empty 4 gallon tank to fill it exactly halfway?
| 3 | |
| 4 | |
| 2 | |
| 9 |
To fill a 4 gallon tank exactly halfway you'll need 2 gallons of fuel. Each fuel can holds 1 gallons so:
cans = \( \frac{2 \text{ gallons}}{1 \text{ gallons}} \) = 2
a(b + c) = ab + ac defines which of the following?
distributive property for division |
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commutative property for multiplication |
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commutative property for division |
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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 (b4)3?
| b-1 | |
| b12 | |
| 4b3 | |
| b |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(b4)3The __________ is the greatest factor that divides two integers.
greatest common factor |
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absolute value |
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greatest common multiple |
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least common multiple |
The greatest common factor (GCF) is the greatest factor that divides two integers.
What is 4\( \sqrt{9} \) x 9\( \sqrt{4} \)?
| 36\( \sqrt{4} \) | |
| 13\( \sqrt{36} \) | |
| 13\( \sqrt{9} \) | |
| 216 |
To multiply terms with radicals, multiply the coefficients and radicands separately:
4\( \sqrt{9} \) x 9\( \sqrt{4} \)
(4 x 9)\( \sqrt{9 \times 4} \)
36\( \sqrt{36} \)
Now we need to simplify the radical:
36\( \sqrt{36} \)
36\( \sqrt{6^2} \)
(36)(6)
216