Math Practice Test Set 10 - My Career Tools

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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. An integer is randomly chosen from the following number line. Given that the number lies on A-D , what is
the probability that it also lies on C-F

A.\(\frac{8}{8}\)

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

C.\(\frac{8}{11}\)

D.\(\frac{5}{8}\)

Question 2 of 10

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

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 3 of 10

4. 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 4 of 10

Math-Square Roots

5. List all square roots of the given number. If the number has no square roots, choose “none”.

441

A.21, -21

B.20, -20

C.22. -22

D.-15, 15

Question 5 of 10

Math- Equations

6. Solve the equation.

5(5x − 2) = 4(8x + 1)

A.−2

B.2

C.4

D.0

Question 6 of 10

7. Solve the equation.

2(6 − 2x) − (4x − 9) = 9

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

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

C.21

D.\(\frac{1}{21}\)

Question 7 of 10

Math-Evaluate expression

8. \(3x^{2} - 2y^{2}\) at \(x = −3\) and \(y = −2\)

A.19

B.27

C.-19

D.-27

Question 8 of 10

Math-Solution of equations

9. Which of the points (−2, 12), (−1, 12), (3, −10), and (−2, 14) is a solution of the equation y = −5x + 4?

A.(−2, 14)

B.(3, −10)

C.(−2, 12),

D. (−1, 12)

Question 9 of 10

Math-Combining Like Terms

10. 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 10 of 10