Question 1

Which of the following equations is a quadratic equation?

Accepted Answer

$$2x^2 + 7x = 4$

Question 2

What is the degree of the equation $$x^3$$ + $$x^2 = 4x + 4$?

Accepted Answer

3

Question 3

Solve the equation $$2x^2 + 7x - 4 = 0$ by factoring, if possible.

Accepted Answer

Question 4

Which of the following is the correct first step to solve $$3x + 5 = 14$$?

Accepted Answer

Subtract 5 from both sides

Question 5

A rational equation is best described as:

Accepted Answer

An equation involving variables in the denominator

Question 6

When solving the radical equation $$\sqrt{x+3} = 5$$, what must you do after finding the solution?

Accepted Answer

Check the solution in the original equation

Question 7

Solve for $$x$$: $$|2x - 5| = 9$$

Accepted Answer

$$x = 7, x = -2$$

Question 8

Which of the following is a necessary step when solving a rational equation?

Accepted Answer

Multiply both sides by the least common denominator

Question 9

If $$x^2 = 9$, what are the solutions?

Accepted Answer

$$x = 3, x = -3$$

Question 10

Which of the following equations is a polynomial equation of degree 1?

Accepted Answer

$$3x + 5 = 14$$

Question 11

What is the solution to the equation $$\sqrt{2x + 3} = 5$$?

Accepted Answer

$$x = 11$$

Question 12

Which of the following best describes the zero-product principle?

Accepted Answer

If $$ab = 0$$, then $$a = 0 or$$ $$b = 0$$

Question 13

Solve for $$x$$: $$\frac{2}{x} = 4$$

Accepted Answer

Question 14

Which of the following equations has no real solution?

Accepted Answer

$$x^2 + 1 = 0$

Question 15

If $$|x| = -3$$, what is the solution?

Accepted Answer

No solution

Solving Equations: Polynomial, Radical, Rational, and Absolute Value Equations

Study Guide - Practice Questions