Question 1

Which of the following correctly applies the FOIL method to multiply $$ (x + 4)(x - 5) $$?

Accepted Answer

$$ x^2$ - x - 20 $$

Question 2

What is the result when you multiply $$ (x + 5)(x - 5) $$?

Accepted Answer

$$ x^2$ - 25 $$

Question 3

Which formula represents the product of the sum and difference of two terms, $$ (a + b)(a - b) $$?

Accepted Answer

$$ a^2$ - b^2$ $$

Question 4

If the area of a rectangle is given by $$ (y^2$ - x^2$) $$, and $$ y \u003e x $$, what is the area when $$ y = 7 $$ and $$ x = 3 $$?

Accepted Answer

$$ 40 $$

Question 5

Evaluate the polynomial $$ 4x^2$ - 3x + 2 $$ when $$ x = -2 . $$

Accepted Answer

$$ 24 $$

Question 6

Which of the following is the correct simplification of $$ (2x + 5y)(2x - 5y) $$?

Accepted Answer

$$ 4x^2$ - 25y^2$ $$

Question 7

Combine like terms: $$ 8m^2$ - 3m + 5m^2$ - 2m . $$

Accepted Answer

$$ 13m^2$ - 5m $$

Question 8

What is the degree of the polynomial $$ 8m^3$ - 2m^2$ + 7 $$?

Accepted Answer

$$ 3 $$

Question 9

Divide $$ 20x^2$ + 30x + 6  by$$ $$ 2 . $$What is the result?

Accepted Answer

$$ 10x^2$ + 15x + 3 $$

Question 10

Which of the following is the correct result of $$ (x + 3)^2$ $$?

Accepted Answer

$$ x^2$ + 6x + 9 $$

Question 11

A rectangle has length $$ x + 5 $$ and width $$ x - 2 . $$What is the area as a simplified polynomial?

Accepted Answer

$$ x^2$ + 3x - 10 $$

Question 12

Divide $$ 8x^2$ - 2x - 4  by$$ $$ 2x . $$What is the result?

Accepted Answer

$$ 4x - 1 - 2/x $$

Question 13

Which of the following is the correct result of $$ (3x + 2y)(3x - 2y) $$?

Accepted Answer

$$ 9x^2$ - 4y^2$ $$

Question 14

If $$ x = 2 $$ and $$ y = -3 $$, evaluate $$ xy - x^2$ + y^2$ . $$

Accepted Answer

$$ 5 $$

Question 15

Which of the following is the correct simplification of $$ (x - 4y)^2$ $$?

Accepted Answer

$$ x^2$ - 8xy + 16y^2$ $$

Question 16

A right circular cylinder has a radius $$ r $$ and height $$ h . $$What is the formula for its surface area?

Accepted Answer

$$ 2\pi r^2$ + 2\pi rh $$

Question 17

Divide $$ 50a^2$ - 20ab + 6b^2$  by$$ $$ 2 . $$What is the result?

Accepted Answer

$$ 25a^2$ - 10ab + 3b^2$ $$

Question 18

Which of the following is the correct result of $$ (x + 2)(x - 7) $$?

Accepted Answer

$$ x^2$ - 5x - 14 $$

Question 19

If you subtract $$ 5a - 2b $$ from the sum of $$ 2a + 2b $$ and $$ 8a - 4b $$, what is the result?

Accepted Answer

$$ 5a $$

Multiplying, Evaluating, and Dividing Polynomials: Beginning Algebra Study Notes

Study Guide - Practice Questions