| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.04 |
| Score | 0% | 61% |
How many 1 gallon cans worth of fuel would you need to pour into an empty 4 gallon tank to fill it exactly halfway?
| 7 | |
| 2 | |
| 4 | |
| 2 |
To fill a 4 gallon tank exactly halfway you'll need 2 gallons of fuel. Each fuel can holds 1 gallons so:
cans = \( \frac{2 \text{ gallons}}{1 \text{ gallons}} \) = 2
What is y7 + 5y7?
| 4y-7 | |
| 6y14 | |
| -4y7 | |
| 6y7 |
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:
1y7 + 5y7
(1 + 5)y7
6y7
A machine in a factory has an error rate of 8 parts per 100. The machine normally runs 24 hours a day and produces 5 parts per hour. Yesterday the machine was shut down for 5 hours for maintenance.
How many error-free parts did the machine produce yesterday?
| 172.8 | |
| 87.4 | |
| 111.9 | |
| 111.6 |
The hourly error rate for this machine is the error rate in parts per 100 multiplied by the number of parts produced per hour:
\( \frac{8}{100} \) x 5 = \( \frac{8 \times 5}{100} \) = \( \frac{40}{100} \) = 0.4 errors per hour
So, in an average hour, the machine will produce 5 - 0.4 = 4.6 error free parts.
The machine ran for 24 - 5 = 19 hours yesterday so you would expect that 19 x 4.6 = 87.4 error free parts were produced yesterday.
April scored 92% on her final exam. If each question was worth 2 points and there were 200 possible points on the exam, how many questions did April answer correctly?
| 87 | |
| 92 | |
| 106 | |
| 103 |
April scored 92% on the test meaning she earned 92% of the possible points on the test. There were 200 possible points on the test so she earned 200 x 0.92 = 184 points. Each question is worth 2 points so she got \( \frac{184}{2} \) = 92 questions right.
Which of the following is not an integer?
\({1 \over 2}\) |
|
0 |
|
1 |
|
-1 |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.