Math Practice Test Set 9

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. 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?
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Question 1 of 10

2. The relation graphed below is a function.

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B.

Question 2 of 10

Math-Solution of equations

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

−12x + 9y = 0
−6x − 4y = −34
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Question 3 of 10

Math- Equations

4. Solve the equation.

6(−3x + 4) − 6 = −8(2x + 2) − 8
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Question 4 of 10

5. Solve the equation.

12x + 9 = 4x + 7
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Question 5 of 10

6. Solve the given equation for x.

9x + 5 = −85
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Question 6 of 10

Math-Word problems

7. Two less than eight times an unknown number is −74. Find the unknown number.
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Question 7 of 10

Math-Exponents

8. Simplify the given exponential expression.

\((−2y)^{3}\)
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Question 8 of 10

Math-Evaluate expression

9. Evaluate the expression at the given value of x.

\(−3x^{2}− 6x + 3\) at \(x = 7 \)
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Question 9 of 10

Math-Combining Like Terms

10. 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
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Question 10 of 10


 

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