Math Test Set 12

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

Find the value that makes this rational expression undefined.

A.y = − 4

B.y = 0

C.y = 3

D.y = − 6

Question 2 of 10

3. Jane has a collection of marbles, consisting of 3 red, 4 green, 4 blue, and 3 orange marbles. She has offered two of her friends, David and Malcolm, that they may take one marble each. What is the probability that Malcolm chooses a red marble, given that David has already chosen a red marble?

 

A.\(\frac{1}{7}\)

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

C.\(\frac{3}{14}\)

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

Question 3 of 10

Math-Solution of equations

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

−2x − 2y = 26
−7x + y = 19

A.(-4,-9)

B.-(-4,-9)

C.(4,9)

D.(4,-9)

Question 4 of 10

Math-Combining Like Terms

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

9n + 10 + 7 + 15n

A.24n + 17

B.25n + 20

C.-24n + 17

D.24n - 17

Question 5 of 10

Math- Equations

6. Solve the equation.

2(−2x − 3) = 3(−x + 2)

A.-12

B.12

C.13

D.-24

Question 6 of 10

7. Solve the given equation for x.

−14x + 12 = −2

A.1

B.0

C.-1

D.2

Question 7 of 10

8. Solve the equation.

2x − 4(4 − 9x) = 4(7x + 8)

A.\(\frac{24}{5}\)

B.\(\frac{5}{24}\)

C.\(\frac{12}{5}\)

D.\(\frac{5}{12}\)

Question 8 of 10

9. Solve the equation.

−5(−9x + 7) + 7 = −(−9x − 8)

A.1

B.0

C.-1

D.8

Question 9 of 10

Math-Evaluate expression

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

\(-5x^{2} - 3xy + 5y^{2}\) at \(x = -1\) and \(y = -2\)

A.9

B.-9

C.18

D.-4

Question 10 of 10

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