Math Practice Test Set 10 - My Career Tools

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1. 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 1 of 10

2. Factor thew expression \(x^{2} - 144\)

A.(x + 12)(x + 12)

B.\((x + 12)^{2}\)

C.(x - 12) (x + 12)

D.\((x - 12)^{2}\)

Question 2 of 10

Math-Evaluate expression

3. 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 3 of 10

4. Simplify the given expression.

−12 + 6(−4)

A.-36

B.36

C.-24

D.24

Question 4 of 10

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

|x − y| at x = 4 and y = 5

A.1

B.-1

C.2

D.-2

Question 5 of 10

Math-Solution of equations

6. 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 6 of 10

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

x = −5 − 2y
−2x − 6y = 18

A.(3,-4)

B.(4,3)

C.\((\frac{3}{4})\)

D.(6,-8)

Question 7 of 10

Math-Exponents

8. Simplify the given exponential expression.

\((−3x^{8}y^{2})^{4}\)

A.\(81x^{32}y^{8} \)

B.\(-81x^{32}y^{8} \)

C.\(27x^{32}y^{8} \)

D.\(-27x^{32}y^{8} \)

Question 8 of 10

Math-Slope

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

−7x + 7y = 63

y = 6 − 2x

A.(-1, 8)

B.-(1,8)

C.(1.6)

D.(2,16)

Question 9 of 10

Math- Equations

10. Solve the equation.

−7(9x − 6) = 7(5x + 7) – 7

A.0

B.1

C.-1

D.2

Question 10 of 10