Math Test Set 12

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. For the function graphed below, where is its output greater than 1? Assume 1 unit intervals for both axes.

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Question 2 of 10

Math- Equations

3. Solve the given equation for x.

9x + 5 = −85
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Question 3 of 10

4. Solve the given equation for x.

4x − 12 = −56
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Question 4 of 10

Math-Distributive Property

5. Use the distributive property to expand the given expression.

\(10s^{2}(−10s^{3} + 2s^{2} + 2s+ 8)\)
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Question 5 of 10

Math-Exponents

6. Simplify the given exponential expression.

\(x^{8}\cdot x^{3}\)
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Question 6 of 10

Math-Evaluate expression

7. Evaluate the expression at the given values of x and y.

\(-5x^{2} - 3xy + 5y^{2}\) at \(x = -1\) and \(y = -2\)
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Question 7 of 10

8. Simplify the given expression.

\(-3^{5}\)
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Question 8 of 10

9. Evaluate a − (b − c) at a = −7.36, b = −17.6, and c = −19.07.
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Question 9 of 10

Math-Word problems

10. The number −15 is −5 times larger than an unknown number. Find the unknown number.
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Question 10 of 10


 

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