| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.20 |
| Score | 0% | 64% |
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.
Frank loaned Damon $200 at an annual interest rate of 5%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $10 | |
| $96 | |
| $45 | |
| $105 |
The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:
interest = annual interest rate x loan amount
i = (\( \frac{6}{100} \)) x $200
i = 0.05 x $200
i = $10
If the ratio of home fans to visiting fans in a crowd is 4:1 and all 46,000 seats in a stadium are filled, how many home fans are in attendance?
| 35,200 | |
| 30,667 | |
| 36,800 | |
| 29,250 |
A ratio of 4:1 means that there are 4 home fans for every one visiting fan. So, of every 5 fans, 4 are home fans and \( \frac{4}{5} \) of every fan in the stadium is a home fan:
46,000 fans x \( \frac{4}{5} \) = \( \frac{184000}{5} \) = 36,800 fans.
Which of the following is an improper fraction?
\({7 \over 5} \) |
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\(1 {2 \over 5} \) |
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\({2 \over 5} \) |
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\({a \over 5} \) |
A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.
Solve 5 + (2 + 2) ÷ 4 x 2 - 52
| \(\frac{3}{5}\) | |
| 1\(\frac{4}{5}\) | |
| \(\frac{4}{7}\) | |
| -18 |
Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):
5 + (2 + 2) ÷ 4 x 2 - 52
P: 5 + (4) ÷ 4 x 2 - 52
E: 5 + 4 ÷ 4 x 2 - 25
MD: 5 + \( \frac{4}{4} \) x 2 - 25
MD: 5 + \( \frac{8}{4} \) - 25
AS: \( \frac{20}{4} \) + \( \frac{8}{4} \) - 25
AS: \( \frac{28}{4} \) - 25
AS: \( \frac{28 - 100}{4} \)
\( \frac{-72}{4} \)
-18