| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.57 |
| Score | 0% | 71% |
What is -3b2 x 4b6?
| -12b4 | |
| b2 | |
| -12b2 | |
| -12b8 |
To multiply terms with exponents, the base of both exponents must be the same. In this case they are so multiply the coefficients and add the exponents:
-3b2 x 4b6
(-3 x 4)b(2 + 6)
-12b8
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 15% off." If Damon buys two shirts, each with a regular price of $20, how much will he pay for both shirts?
| $3.00 | |
| $37.00 | |
| $17.00 | |
| $25.00 |
By buying two shirts, Damon will save $20 x \( \frac{15}{100} \) = \( \frac{$20 x 15}{100} \) = \( \frac{$300}{100} \) = $3.00 on the second shirt.
So, his total cost will be
$20.00 + ($20.00 - $3.00)
$20.00 + $17.00
$37.00
a(b + c) = ab + ac defines which of the following?
distributive property for division |
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distributive property for multiplication |
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commutative property for division |
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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.
This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.
associative |
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distributive |
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PEDMAS |
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commutative |
The commutative property states that, when adding or multiplying numbers, the order in which they're added or multiplied does not matter. For example, 3 + 4 and 4 + 3 give the same result, as do 3 x 4 and 4 x 3.
What is the next number in this sequence: 1, 4, 7, 10, 13, __________ ?
| 17 | |
| 22 | |
| 16 | |
| 19 |
The equation for this sequence is:
an = an-1 + 3
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 + 3
a6 = 13 + 3
a6 = 16