Math Test Set 11 - My Career Tools

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1. \(\frac{x^{2}y-x^{5}y^{7}+x^{8}y^{4}}{x^{2}y}\)

Simplify.

A.\(1 - x^{3}y^{6} + x^{6}y^{3}, x,y ≠ 0\)

B.\(x^{4}y^{2} - x^{7}y^{8} + x^{10}y^{5}, x,y ≠ 0\)

C.\(x^{6}y^{3} - x^{3}y^{6} - 1, x,y ≠ 0 \)

D.\(xy - x^{3}y^{6} + x^{6}y^{3}, x,y ≠ 0 \)

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

Math-Combining Like Terms

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

\(-14x^{2}y - 2xy^{2} + 8x^{2}y + 18xy^{2}\)

A.\(-6x^{2}y + 16xy^{2} \)

B.\(-6x^{2}y + 18xy^{2} \)

C.\(6x^{2}y + 16xy^{2} \)

D.\(-6x^{2}y - 16xy^{2} \)

Question 3 of 10

Math-Evaluate expression

4. Simplify the given expression.

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

A.32

B.-32

C.16

D.-16

Question 4 of 10

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

|x| − |y| at x = 0 and y = 2

A.−2

B.2

C.0

D.1

Question 5 of 10

Math-Inequalities

6. Solve the given inequality.

−16x − 5 ≥ −11 − 6x

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

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

C.6

D.\(1\frac{3}{5}\)

Question 6 of 10

Math-Exponents

7. Simplify the given exponential expression.

\(x^{8}\cdot x^{3}\)

A.\(x^{11} \)

B.\(-x^{11} \)

C.\(x^{24} \)

D.\(-x^{24} \)

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. Two less than nine times an unknown number is 7. Find the unknown number.

A.1

B.0

C.-1

D.2

Question 9 of 10

Math-Percent of number

10. What number is 22.4% of 125?

A.28

B.27

C.56

D.14

Question 10 of 10