Math Practice Test Set 7 - My Career Tools

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1. Factor. \(x^{2} − 81\)

A.(x + 9)(x − 9)

B.(x + 9)(x + 9)

C.(x − 9)(x − 9)

D.Unfactorable

Question 1 of 10

2. Is the following a function? Explain why or why not.

A.Yes, this does represent a function, because all the points are distinct (none of them are coincident.

B.No, this does not represent a function, since a function can not be made up of only points.

C.No, this does not represent a function, since it fails the vertical line test.

D.No, this does not represent a function, since a function is made up of many more points.

Question 2 of 10

3. 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 3 of 10

4. 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 4 of 10

Math-Evaluate expression

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

\(5x^{2}− 4xy + 3y^{2}\) at \(x = 1\) and \(y = −4\)

A.69

B.-69

C.70

D.-68

Question 5 of 10

6. Evaluate a − bc at a = 4.3, b = 8.5, and c = 1.73.

A.-10.405

B.10.405

C.-11.506

D.14.075

Question 6 of 10

Math- Equations

7. Solve the equation.

11 − 15x = 13 − 19x

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

B.\(-\frac{1}{2}\)

C.8

D.1

Question 7 of 10

8. Solve the given equation for x.

7x + 15 = −55

A.-10

B.11

C.-12

D.10

Question 8 of 10

Math-Slope

9. Calculate the slope of the line passing through the points P and Q. Be sure to reduce your answer to lowest terms.

P(11, 1), Q(−1,−1)

A.\(\frac{1}{6}\)

B.\(\frac{6}{2}\)

C.\(\frac{2}{6}\)

D.\(-\frac{1}{6}\)

Question 9 of 10

Math-Functions

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

A.-17

B.17

C.-20

D.8

Question 10 of 10