Math Test Set 11

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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. 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 2 of 10

Math- Equations

3. Solve the given equation for x.

9x + 5 = −85

A.-10

B.10

C.85

D.-11

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.

\(-14xy − 2x^{3} - 2x^{3} - 4xy\)

A.\(−18xy − 4x^{3} \)

B.\(−20xy − 4x^{3} \)

C.\(18xy − 4x^{3} \)

D.\(-18xy + 4x^{3} \)

Question 4 of 10

Math-Percent to decimal

5. Convert the given percent to a decimal.

28%

A.0.28

B.2.8

C.0.028

D.0.0028

Question 5 of 10

6. Convert the given decimal to a percent.

0.14

A.14%

B.1.4%

C.0.14%

D.0.014%

Question 6 of 10

Math-Word problems

7. A student’s bank account is overdrawn. After making a deposit of $360, he finds that his account is still overdrawn by an amount of $90. What was his balance before he made his deposit?

A.−$450

B.$450

C.$500

D.−$500

Question 7 of 10

Math-Distributive Property

8. 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 8 of 10

Math-Evaluate expression

9. Simplify the given expression.

\(-(-2)^{5}\)

A.32

B.-32

C.16

D.-16

Question 9 of 10

Math-Solution of equations

10. 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 10 of 10

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