Free Rise Placement Test Exponents and Polynomials Questions and Answers

Question 1

Which of the following expressions is equivalent to (3x²y⁻³)⁻²?

Accepted Answer

y⁶ / (9x⁴)

Answer

9x⁴y⁶

Answer

-9x⁴y⁶

Answer

1 / (6x⁴y⁶)

Question 2

What is the product of the binomials (2a - 5) and (3a + 4)?

Accepted Answer

6a² - 7a - 20

Answer

6a² - 20

Answer

6a² + 7a - 20

Answer

5a - 1

Question 3

A rectangular garden has a length represented by the expression (4x + 3) feet and a width represented by (x - 2) feet. Which polynomial represents the total area of the garden in square feet?

Accepted Answer

4x² - 5x - 6

Answer

4x² + 5x - 6

Answer

5x + 1

Answer

4x² - 6

Question 4

Which of the following correctly classifies the polynomial 8x³ - 12x + 5 by its degree and number of terms?

Accepted Answer

Cubic Trinomial

Answer

Quadratic Trinomial

Answer

Cubic Binomial

Answer

Quadratic Binomial

Question 5

Perform the subtraction: (7x² - 3x + 9) - (4x² + 2x - 5)

Accepted Answer

3x² - 5x + 14

Answer

3x² - x + 4

Answer

3x² - 5x + 4

Answer

11x² - x + 4

Question 6

Simplify the rational expression: (x² - 9) / (x² + 7x + 12)

Accepted Answer

(x - 3) / (x + 4)

Answer

(x + 3) / (x + 4)

Answer

-9 / (7x + 12)

Answer

Already simplified