| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.54 |
| Score | 0% | 71% |
The __________ is the greatest factor that divides two integers.
greatest common multiple |
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least common multiple |
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absolute value |
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greatest common factor |
The greatest common factor (GCF) is the greatest factor that divides two integers.
What is the next number in this sequence: 1, 3, 7, 13, 21, __________ ?
| 34 | |
| 39 | |
| 31 | |
| 27 |
The equation for this sequence is:
an = an-1 + 2(n - 1)
where n is the term's order in the sequence, an is the value of the term, and an-1 is the value of the term before an. This makes the next number:
a6 = a5 + 2(6 - 1)
a6 = 21 + 2(5)
a6 = 31
a(b + c) = ab + ac defines which of the following?
commutative property for multiplication |
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distributive property for multiplication |
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distributive property for division |
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commutative 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.
Alex loaned Monty $1,400 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?
| $49 | |
| $70 | |
| $35 | |
| $99 |
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 $1,400
i = 0.05 x $1,400
i = $70
Damon loaned Monica $1,100 at an annual interest rate of 3%. If no payments are made, what is the total amount owed at the end of the first year?
| $1,199 | |
| $1,133 | |
| $1,188 | |
| $1,155 |
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 $1,100
i = 0.03 x $1,100
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $1,100 + $33