Math Practice Test Set 2

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1. 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 1 of 10

2. Given two polygons, the first one having more sides than the second, let the following rule describe how to map the first polygon to the second polygon. (To help illustrate, refer to the two polygons pictured below.) Label the vertices of each polygon A, B, C, etc. Then, each vertex of polygon 1 is mapped to its corresponding vertex on polygon 2 (A to A, B to B, etc.). For all extra vertices of the first polygon (in this case G and H), they map to the final vertex of the second polygon (in this case to F). Is this rule a function? If not, why not?

A.Yes, this is a function.

B.No, functions relate only to equations and graphs.

C.No, because multiple vertices of the first polygon are mapped to the same vertex on the second polygon, which is the same as failing the vertical line test.

D.No, because this is not continuous; there is only a finite set of points, while functions (graphs) are an infinite set of points.

Question 2 of 10

3. Factor. \(6x^{2} - 19x +10\)

A.(3x − 10)(2x + 1)

B.(6x − 5)(x − 2)

C.(3x − 5)(2x − 2)

D.(3x − 2)(2x − 5)

Question 3 of 10

Math-Distributive Property

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

\(−2uw(10u^{2}− 7uw − 2w^{2})\)

A.\(-20u^{3}w + 14u^{2}w^{2} + 4uw^{3}\)

B.\(20u^{3}w + 14u^{2}w^{2} + 4uw^{3}\)

C.\(-20u^{3}w + 18u^{2}w^{2}\)

D.\(20u^{3}w - 14u^{2}w^{2}\)

Question 4 of 10

Math-Inequalities

5. Solve the given inequality.

−5x − 6 ≥ 4 − 9x

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

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

C.\(\frac{5}{3}\)

D.\(1\frac{2}{5}\)

Question 5 of 10

Math-Solution of equations

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

x − 3 = 6; 9, 16, 10, 12

A.9

B.3

C.1

D.8

Question 6 of 10

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

x = 19 + 7y
3x − 3y = 3

A.(-2,-3)

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

C.-(2,3)

D.(-4,6)

Question 7 of 10

Math-Exponents

8. Simplify the given exponential expression.

\((7v - 6w)^{18} \cdot (7v - 6w)^{17}\)

A.\((7v − 6w)^{35} \)

B.\(-(7v − 6w)^{35} \)

C.\((7v + 6w)^{35} \)

D.\(-(7v + 6w)^{35} \)

Question 8 of 10

Math-Evaluate expression

9. Evaluate the expression at the given value of x.

−9x − 5 at x = −2

A.13

B.-13

C.26

D.-7

Question 9 of 10

Math-Word problems

10. The number −10 is −5 times larger than an unknown number. Find the unknown number.

A.2

B.-2

C.4

D.-3

Question 10 of 10

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