Math Practice Test Set 10 - My Career Tools

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1. Janet, Cam, and Mike arrive at a school party and there are only four cupcakes left. Everyone else has eaten enough cupcakes and will eat no more. Below is table of all possible ways these four cupcakes could be eaten by these three people. How likely it is that Janet will eat more cupcakes than Cam and Mike, given that before Janet gets to the cupcake table, Cam and Mike have already each eaten a cupcake?

A.\(\frac{4}{15}\), because there are only four possible scenarios in which Janet eats more cupcakes out of the total 15 possibilities.

B.\(\frac{3}{14}\), since for row 1, neither Cam nor Mike has had a cupcake.

C.\(\frac{1}{12}\), because rows 1-3 don't count, as they have Mike and Cam eating only one cupcake between them (and two need to have been already eaten).

D.\(\frac{1}{6}\), since rows 1-5, 7, 8, 11, 12 aren't included as they don't have Cam and Mike as having eaten at least one cupcake each.

Question 1 of 10

2. Peter is dividing a regular deck of 52 cards in half and choosing a card at random. What is the probability of choosing a Jack, if he happens to divide the deck perfectly into black cards and red cards and then chooses from the red cards?

A.\(\frac{1}{13}\)

B.\(\frac{2}{13}\)

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

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

Question 2 of 10

3. Suppose y varies inversely with x and x = 12 when y = 3. What is the equation of the inverse variation?

A.\(\frac{y}{x}\) = 36

B.y = \(\frac{12}{3}\)

C.y = \(\frac{36}{x}\)

D.12 = \(\frac{3}{y}\)

Question 3 of 10

4. If y varies inversely as x and y = 8 when x = 3, find the value of x when y = 12.

A.8

B.-8

C.2

D.-2

Question 4 of 10

5. What would be the slope of a line of best fit?

A.1

B.4

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

D.\(\frac{4}{4} \)

Question 5 of 10

Math-Evaluate expression

6. \(3x^{2} - 2y^{2}\) at \(x = −3\) and \(y = −2\)

A.19

B.27

C.-19

D.-27

Question 6 of 10

Math-Solution of equations

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

9x + 4y = −4
−7x − 9y = 3

A.\((\frac{-24}{53}, \frac{1}{53}) \)

B.\((\frac{24}{53}, \frac{1}{53}) \)

C.\((\frac{24}{53}, \frac{-1}{53}) \)

D.\((\frac{-25}{50}, \frac{1}{50}) \)

Question 7 of 10

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

3x − 4y = −43
−3x + y = 22

A. (-5, 7)

B.-(-5, 7)

C.35

D.-35

Question 8 of 10

Math- Equations

9. Solve the equation.

2(6 − 2x) − (4x − 9) = 9

A.\(\frac{3}{2}\)

B.\(\frac{2}{3}\)

C.21

D.\(\frac{1}{21}\)

Question 9 of 10

Math-Exponents

10. Simplify the given exponential expression.

\(x^{8}\cdot x^{3}\)

A.\(x^{11} \)

B.\(-x^{11} \)

C.\(x^{24} \)

D.\(-x^{24} \)

Question 10 of 10