Math Test Set 11

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 amount varies inversely to y. Which equation expresses the given statement?
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B.
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D.

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?
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D.

Question 2 of 10

3. Factor \(9x^{2}− 13x − 10\)
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Question 3 of 10

Math-Combining Like Terms

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

3y + 1 + 6y + 3
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Question 4 of 10

Math-Word problems

5. 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?
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Question 5 of 10

Math-Evaluate expression

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

\(5x^{2}− 4xy + 3y^{2}\) at \(x = 1\) and \(y = −4\)
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Question 6 of 10

Math-Solution of equations

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

x + 2y = −4
6x − 4y = −56
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Question 7 of 10

Math-Square Roots

8. List all square roots of the given number. If the number has no square roots, choose “none”.

144
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Question 8 of 10

Math- Equations

9. Solve the equation.

13 − 9x = 11 − 5x
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Question 9 of 10

Math-Percent to decimal

10. Convert the given decimal to a percent.

8.7
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Question 10 of 10


 

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