| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.70 |
| Score | 0% | 74% |
What is -2b6 x 3b4?
| -6b24 | |
| b24 | |
| -6b10 | |
| -6b4 |
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:
-2b6 x 3b4
(-2 x 3)b(6 + 4)
-6b10
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 5% off." If Charlie buys two shirts, each with a regular price of $28, how much money will he save?
| $8.40 | |
| $14.00 | |
| $1.40 | |
| $9.80 |
By buying two shirts, Charlie will save $28 x \( \frac{5}{100} \) = \( \frac{$28 x 5}{100} \) = \( \frac{$140}{100} \) = $1.40 on the second shirt.
a(b + c) = ab + ac defines which of the following?
distributive property for division |
|
distributive property for multiplication |
|
commutative property for multiplication |
|
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.
If there were a total of 150 raffle tickets sold and you bought 13 tickets, what's the probability that you'll win the raffle?
| 18% | |
| 2% | |
| 9% | |
| 12% |
You have 13 out of the total of 150 raffle tickets sold so you have a (\( \frac{13}{150} \)) x 100 = \( \frac{13 \times 100}{150} \) = \( \frac{1300}{150} \) = 9% chance to win the raffle.
What is the next number in this sequence: 1, 6, 11, 16, 21, __________ ?
| 35 | |
| 27 | |
| 31 | |
| 26 |
The equation for this sequence is:
an = an-1 + 5
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 + 5
a6 = 21 + 5
a6 = 26