# Accuplacer Math: Advanced Algebra and Functions Placement Test Study Guide Final Exam

Choose your answer to the question and click 'Continue' to see how you did. Then click 'Next Question' to answer the next question. When you have completed the free practice test, click 'View Results' to see your results. Good luck!

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Question 1
1.
Which of the following values is a solution for *x* in this algebraic expression?

(2*x* - 3)^2 - (4*x*)^2 / 2*x* + 8*x* / 4 = -9

*x*in this algebraic expression?

*x*- 3)^2 - (4

*x*)^2 / 2

*x*+ 8

*x*/ 4 = -9

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Question 2
2.
What is the simplified form of the following expression?

(12*x*^8 / 9*y*^5) / (6*x*^5 / 3*y*^3)

*x*^8 / 9

*y*^5) / (6

*x*^5 / 3

*y*^3)

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Question 3
3.
What is the solution for *x* and *y* in the following system of equations?

*y* = 2*x* - 7 and *y* - *x* = 5

*x*and

*y*in the following system of equations?

*y*= 2

*x*- 7 and

*y*-

*x*= 5

#### Question 4 4. What is the volume of a 12 centimeter tall prism if its base is in the shape of a triangle with a height of 3 centimeters and a base of 2 centimeters?

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Question 5
5.
What are the roots of the following quadratic equation?

4*x*^2 - 5*x* - 9 = 0

*x*^2 - 5

*x*- 9 = 0

#### Question 6 6. Which of the following statements is true when the radius of a circle bisects a chord in the same circle?

#### Question 7 7. What is the numerical value of log base 5 (45)?

#### Question 8 8. Given a right triangle with an angle θ. What trigonometric function is equivalent to cos θ / sin θ?

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Question 9
9.
If the line for the equation 3*x* - 9*y* = 12 is plotted on a Cartesian graph, where does the line intersect the *x*-axis?

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Question 10
10.
What is the solution for *x* in the following inequality?

-3/8*x* - 5 > 13

*x*in the following inequality?

*x*- 5 > 13

#### Question 11 11. What is the solution for the following absolute value inequality?

#### Question 12 12. Which of the following values is the largest prime factor of the number 222?

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Question 13
13.
What is the third term of the expansion of the following binomial?

(3*x* - 2)^4

*x*- 2)^4

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Question 14
14.
What is the solution to the following polynomial division operation?

(2*x*^3 + 6*x*^2 - 12*x* - 36) / (*x* + 3)

*x*^3 + 6

*x*^2 - 12

*x*- 36) / (

*x*+ 3)

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Question 15
15.
What is the *y*-intercept of the inverse function of f(*x*) = 16*x* + 80?

#### Accuplacer Math: Advanced Algebra and Functions Placement Test Study Guide Final Free Practice Test Instructions

Choose your answer to the question and click 'Continue' to see how you did. Then click 'Next Question' to answer the next question. When you have completed the free practice test, click 'View Results' to see your results. Good luck!