| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.61 |
| Score | 0% | 72% |
Solve 2 + (2 + 3) ÷ 3 x 4 - 42
| 4\(\frac{1}{2}\) | |
| \(\frac{2}{9}\) | |
| -7\(\frac{1}{3}\) | |
| \(\frac{3}{4}\) |
Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):
2 + (2 + 3) ÷ 3 x 4 - 42
P: 2 + (5) ÷ 3 x 4 - 42
E: 2 + 5 ÷ 3 x 4 - 16
MD: 2 + \( \frac{5}{3} \) x 4 - 16
MD: 2 + \( \frac{20}{3} \) - 16
AS: \( \frac{6}{3} \) + \( \frac{20}{3} \) - 16
AS: \( \frac{26}{3} \) - 16
AS: \( \frac{26 - 48}{3} \)
\( \frac{-22}{3} \)
-7\(\frac{1}{3}\)
What is 8z2 - 9z2?
| 17z4 | |
| -z-2 | |
| z2 | |
| -z2 |
To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so subtract the coefficients and retain the base and exponent:
8z2 - 9z2
(8 - 9)z2
-z2
Ezra loaned Bob $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?
| $32 | |
| $4 | |
| $65 | |
| $70 |
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
What is the distance in miles of a trip that takes 3 hours at an average speed of 45 miles per hour?
| 210 miles | |
| 150 miles | |
| 490 miles | |
| 135 miles |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Solving for distance:
distance = \( \text{speed} \times \text{time} \)
distance = \( 45mph \times 3h \)
135 miles
What is (x5)4?
| x20 | |
| x9 | |
| 5x4 | |
| 4x5 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(x5)4