Math Practice Test Set 1 - My Career Tools

Uncategorized

1. Given the following set of numbers {1,1,1,1,2,3,4,5,5,5,5,6,7,8,8,8,8,8,9, 10} what is the probability of choosing a prime number, given that a factor of 36 is chosen?

A.\(\frac{7}{20}\)

B.\(\frac{2}{5}\)

C.\(\frac{1}{3}\)

D.\(\frac{2}{9}\)

Question 1 of 10

2. \(\frac{x-7}{x^{2}-x-42}\)

Simplify this expression.

A.\(\frac{1}{x+7}, x ≠ - 6\)

B.\(\frac{1}{x+6}, x ≠ 6 \)

C.x + 7, x ≠ - 6,7

D.x + 6, x ≠ - 6,7

Question 2 of 10

3. Emily orders two cheese pizzas from Toni's Pizza for herself and some friends. However, Toni's Pizza accidentally put some sausage on a few of the slices of each pizza (shown in the pictures as the shaded slices). The sausage is not visible when just looking at the slice of pizza. Given that one of Emily's friends grabs the pizza containing the three slices of sausage, leaving only the other pizza for Emily to choose from, what is the probability that Emily chooses a slice of sausage pizza?

A.\( \frac{1}{4}\)

B.\( \frac{1}{2}\)

C.\( \frac{5}{16}\)

D.\( \frac{6}{16}\)

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

Math-Solution of equations

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

2x − 6y = 28
−3x + 18y = −60

A.(8,-2)

B.(-8,-2)

C.-(8,-2)

D.16

Question 5 of 10

6. Which of the points (−2, 12), (−1, 12), (3, −10), and (−2, 14) is a solution of the equation y = −5x + 4?

A.(−2, 14)

B.(3, −10)

C.(−2, 12),

D. (−1, 12)

Question 6 of 10

7. Which of the points (1, −1), (−2, 20), (−4, 31), and (−9, 64) is a solution of the equation y = −6x + 7?

A.(−4, 31)

B.(−2, 20)

C.(1, −1)

D.(−9, 64)

Question 7 of 10

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

x + 2 = 4; 3, 2, 9, 5

A.2

B.-2

C.4

D.8

Question 8 of 10

Math-Percent to decimal

9. Convert the given percent to a decimal.

124%

A.1.24

B.12.4

C.0.124

D.124

Question 9 of 10

Math- Equations

10. Solve the equation.

2(−2x − 3) = 3(−x + 2)

A.-12

B.12

C.13

D.-24

Question 10 of 10