Math Practice Test Set 5

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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. Typically, air temperature decreases through the night between midnight and 6:00 am. This is an example of what type of association?

A.constant association

B.positive linear association

C.negative linear association

D.no association

Question 2 of 10

3. \(\frac{8}{y+6}\)

Find the value that makes this rational expression undefined.

A.y = − 4

B.y = 0

C.y = 3

D.y = − 6

Question 3 of 10

Math-Distributive Property

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

\(−8u^{2}(−7u^{3}− 8u^{2}− 2u + 10) \)

A.\(56u^{5}+ 64u^{4} + 16u^{3}− 80u^{2} \)

B.\(-56u^{5}+ 64u^{4} + 16u^{3}− 80u^{2} \)

C.\(56u^{5} - 64u^{4} + 16u^{3}− 80u^{2} \)

D.\(56u^{5} + 64u^{4} + 16u^{3} + 80u^{2} \)

Question 4 of 10

Math- Equations

5. Solve the equation.

7x + 11 = 16 − 18x

A.\(\frac{1}{5}\)

B.\(-\frac{1}{5}\)

C.5

D.\(\frac{1}{15}\)

Question 5 of 10

Math-Evaluate expression

6. \(3x^{2} + 3x − 4\) at \(x = 5\)

A.86

B.-86

C.90

D.43

Question 6 of 10

7. Simplify the given expression.

−| − 40|

A.-40

B.40

C.20

D.-20

Question 7 of 10

Math-Functions

8. Given f(x) = \(-2x^{3}\) + 4x − 9, evaluate f(2).

A.-17

B.17

C.-20

D.8

Question 8 of 10

Math-Word problems

9. 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?

A.90

B.-90

C.180

D.-45

Question 9 of 10

Math-Solution of equations

10. Determine k so that the point (−1, k) is a solution of y = −5x + 3.

A.k = 8

B.k = 7

C.k =16

D.k = 4

Question 10 of 10

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