Math Practice Test Set 8

Each question has a few answer choices. Choose the best answer for each question. At the end of the quiz, you will see your results.

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1. The equation represents a direct variation.

6x + 4 = y
A.
B.

Question 1 of 10

2. 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.
B.
C.
D.

Question 2 of 10

Math-Solution of equations

3. Use the substitution method to solve each of the following systems.

x = −5 − 2y
−2x − 6y = 18
A.
B.
C.
D.

Question 3 of 10

4. Which of the numbers following the given equation is a solution of the given equation?

x + 2 = 4; 3, 2, 9, 5
A.
B.
C.
D.

Question 4 of 10

Math-Percent of number

5. What number is 18.4% of 125?
A.
B.
C.
D.

Question 5 of 10

6. 200% of what number is 132?
A.
B.
C.
D.

Question 6 of 10

Math-Word problems

7. Alan’s scores on his first three exams are 79, 61, and 54. What must Alan score on his next exam to average 71 for all four exams?
A.
B.
C.
D.

Question 7 of 10

Math-Combining Like Terms

8. Combine like terms by first rearranging the terms, then using the distributive property to factor out the common variable part, and then simplifying.

\(-14xy − 2x^{3} - 2x^{3} - 4xy\)
A.
B.
C.
D.

Question 8 of 10

9. Combine like terms by first rearranging the terms, then using the distributive property to factor out the common variable part, and then simplifying.

−8 + 17n + 10 + 8n
A.
B.
C.
D.

Question 9 of 10

Math- Equations

10. Solve the given equation for x.

5x − 14 = −79
A.
B.
C.
D.

Question 10 of 10


 

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