| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.98 |
| Score | 0% | 60% |
What is -4b3 + 8b3?
| 12b3 | |
| 4b-6 | |
| -12b-3 | |
| 4b3 |
To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so add the coefficients and retain the base and exponent:
-4b3 + 8b3
(-4 + 8)b3
4b3
The __________ is the smallest positive integer that is a multiple of two or more integers.
absolute value |
|
least common factor |
|
least common multiple |
|
greatest common factor |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 25% off." If Monty buys two shirts, each with a regular price of $10, how much will he pay for both shirts?
| $2.50 | |
| $12.00 | |
| $14.50 | |
| $17.50 |
By buying two shirts, Monty will save $10 x \( \frac{25}{100} \) = \( \frac{$10 x 25}{100} \) = \( \frac{$250}{100} \) = $2.50 on the second shirt.
So, his total cost will be
$10.00 + ($10.00 - $2.50)
$10.00 + $7.50
$17.50
Solve 3 + (5 + 4) ÷ 5 x 3 - 32
| \(\frac{1}{3}\) | |
| -\(\frac{3}{5}\) | |
| 2\(\frac{1}{2}\) | |
| \(\frac{3}{7}\) |
Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):
3 + (5 + 4) ÷ 5 x 3 - 32
P: 3 + (9) ÷ 5 x 3 - 32
E: 3 + 9 ÷ 5 x 3 - 9
MD: 3 + \( \frac{9}{5} \) x 3 - 9
MD: 3 + \( \frac{27}{5} \) - 9
AS: \( \frac{15}{5} \) + \( \frac{27}{5} \) - 9
AS: \( \frac{42}{5} \) - 9
AS: \( \frac{42 - 45}{5} \)
\( \frac{-3}{5} \)
-\(\frac{3}{5}\)
The __________ is the greatest factor that divides two integers.
greatest common factor |
|
least common multiple |
|
absolute value |
|
greatest common multiple |
The greatest common factor (GCF) is the greatest factor that divides two integers.