| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.26 |
| Score | 0% | 65% |
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 50% off." If Alex buys two shirts, each with a regular price of $10, how much money will he save?
| $3.50 | |
| $5.00 | |
| $4.00 | |
| $2.50 |
By buying two shirts, Alex will save $10 x \( \frac{50}{100} \) = \( \frac{$10 x 50}{100} \) = \( \frac{$500}{100} \) = $5.00 on the second shirt.
a(b + c) = ab + ac defines which of the following?
commutative property for multiplication |
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commutative property for division |
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distributive property for multiplication |
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distributive property for division |
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 the least common multiple of 4 and 6?
| 2 | |
| 8 | |
| 12 | |
| 6 |
The first few multiples of 4 are [4, 8, 12, 16, 20, 24, 28, 32, 36, 40] and the first few multiples of 6 are [6, 12, 18, 24, 30, 36, 42, 48, 54, 60]. The first few multiples they share are [12, 24, 36, 48, 60] making 12 the smallest multiple 4 and 6 have in common.
Diane scored 80% on her final exam. If each question was worth 3 points and there were 90 possible points on the exam, how many questions did Diane answer correctly?
| 30 | |
| 38 | |
| 24 | |
| 11 |
Diane scored 80% on the test meaning she earned 80% of the possible points on the test. There were 90 possible points on the test so she earned 90 x 0.8 = 72 points. Each question is worth 3 points so she got \( \frac{72}{3} \) = 24 questions right.
How many 1 gallon cans worth of fuel would you need to pour into an empty 10 gallon tank to fill it exactly halfway?
| 5 | |
| 5 | |
| 2 | |
| 10 |
To fill a 10 gallon tank exactly halfway you'll need 5 gallons of fuel. Each fuel can holds 1 gallons so:
cans = \( \frac{5 \text{ gallons}}{1 \text{ gallons}} \) = 5