Math Practice Test Set 8 - My Career Tools

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1. \(\frac{8}{y+6}\)

Find the value that makes this rational expression undefined.

A.y = − 4

B.y = 0

C.y = 3

D.y = − 6

Question 1 of 10

2. A teacher grades 5 tests in 30 minutes. If a graph was made to show the number of tests per hour that the
teacher can grade, what would be the slope of the graph?

A.6

B.\(\frac{1}{6} \)

C.60

D.10

Question 2 of 10

3. The amount varies inversely to y. Which equation expresses the given statement?

A.y = kx

B.x = ky

C.y = \(\frac{k}{x}\)

D.-x = \(\frac{k}{y}\)

Question 3 of 10

4. Mia goes to East York Collegiate Institute. She is given the following information:

There are 150 grade 12 students at East York Collegiate Institute. 70 of the grade 12 students drive a car at the school. Half of all students with a grade average of 90 or higher have a car.

She is asked to find the probability of randomly choosing a grade 12 student with a car, given that the
student has an average grade of 90 or higher. She reasons initially that, since there are 70 grade 12 students out of 150 who have a car, it would be \(frac{7}{15}\). However, since it is a conditional probability, she needs to multiply by \(\frac{1}{2}\), since the probability that a student with a grade average of 90 or higher is \(frac{1}{2}\). This results in a probability of \(frac{7}{30}\). Is she correct or not, and why?

A.Yes, and her reasoning is correct.

B.No, she didn't need to multiply by \(\frac{1}{2}\) and the probability is \(\frac{7}{15}\). The probability that a student has a car can be assumed to be independent of their grade average, and so no multiplication is needed.

C.No, there is insufficient information to find this probability.

D.No, she needs to state that it can be assumed that half of grade 12 students have an average of 90 or higher. Therefore, half of 70 is 35, half of 150 is 75, and the probability is \(\frac{7}{15}\)

Question 4 of 10

5. If the four data points listed were added to the scatter plot, which point would be an outlier?

A.(10, 190)

B.(40, 125)

C.(75, 50)

D.(80, 220)

Question 5 of 10

Math-Percent to decimal

6. Convert the given percent to a decimal.

28%

A.0.28

B.2.8

C.0.028

D.0.0028

Question 6 of 10

7. Convert the given decimal to a percent.

8.7

A.870%

B.87%

C.8.7%

D.0.87%

Question 7 of 10

Math-Inequalities

8. Solve the given inequality.

5x + 18 < 38

A.4

B.-4

C.\(\frac{2}{3}\)2/3

D.\(-\frac{3}{2}\)

Question 8 of 10

Math-Percent of number

9. 126.4% of what number is 158?

A.125

B.158

C.120

D.250

Question 9 of 10

Math- Equations

10. Solve the equation.

−5(−9x + 7) + 7 = −(−9x − 8)

A.1

B.0

C.-1

D.8

Question 10 of 10