| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.95 |
| Score | 0% | 59% |
What is 3a4 + 7a4?
| 10a4 | |
| -4a-4 | |
| 4a-4 | |
| 10a8 |
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:
3a4 + 7a4
(3 + 7)a4
10a4
| 1 | |
| 5.6 | |
| 0.5 | |
| 3.5 |
1
A factor is a positive __________ that divides evenly into a given number.
integer |
|
mixed number |
|
improper fraction |
|
fraction |
A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.
A machine in a factory has an error rate of 7 parts per 100. The machine normally runs 24 hours a day and produces 5 parts per hour. Yesterday the machine was shut down for 2 hours for maintenance.
How many error-free parts did the machine produce yesterday?
| 167.2 | |
| 111.7 | |
| 102.3 | |
| 145.4 |
The hourly error rate for this machine is the error rate in parts per 100 multiplied by the number of parts produced per hour:
\( \frac{7}{100} \) x 5 = \( \frac{7 \times 5}{100} \) = \( \frac{35}{100} \) = 0.35 errors per hour
So, in an average hour, the machine will produce 5 - 0.35 = 4.65 error free parts.
The machine ran for 24 - 2 = 22 hours yesterday so you would expect that 22 x 4.65 = 102.3 error free parts were produced yesterday.
Which of the following statements about exponents is false?
all of these are false |
|
b0 = 1 |
|
b1 = b |
|
b1 = 1 |
A number with an exponent (be) consists of a base (b) raised to a power (e). The exponent indicates the number of times that the base is multiplied by itself. A base with an exponent of 1 equals the base (b1 = b) and a base with an exponent of 0 equals 1 ( (b0 = 1).