Question 1

Which of the following best describes an inconsistent equation?

Accepted Answer

An equation that has no solution.

Question 2

Solve and classify the equation: $$2(x - 3) = 2x - 6$$

Accepted Answer

Identity

Question 3

Which of the following is a linear equation in one variable?

Accepted Answer

$$3x + 7 = 2$$

Question 4

Given the equation $$|x - 4| = 7$$, what are the solutions?

Accepted Answer

$$x = 11 or$$ $$x = -3$$

Question 5

Which of the following equations is inconsistent?

Accepted Answer

$$x + 5 = x + 2$$

Question 6

Solve for $$x$$: $$\frac{2x - 4}{3} = x + 1$$

Accepted Answer

$$x = 7$$

Question 7

Which of the following best describes an identity equation?

Accepted Answer

An equation that is satisfied by every real number for which both sides are defined.

Question 8

If $$|2x - 5| = 9$$, what are the solutions for $$x$$?

Accepted Answer

$$x = 7 or$$ $$x = -2$$

Question 9

Which of the following equations is conditional?

Accepted Answer

$$x + 3 = 7$$

Question 10

A chemist needs to prepare a solution by mixing two chemicals. The equation $$5x + 10 = 35$$ models the amount of chemical $$x$$ needed. How much of chemical $$x is $$required?

Accepted Answer

$$x = 5$$

Question 11

Solve and classify: $$3(x - 2) = 3x - 6$$

Accepted Answer

Identity

Question 12

Which equation has no solution?

Accepted Answer

$$x + 4 = x + 5$$

Question 13

A medical researcher is analyzing the equation $$|x - 10| = 2 to $$determine possible dosages. What are the possible values for $$x$$?

Accepted Answer

$$x = 8 or$$ $$x = 12$$

Question 14

Solve for $$x$$: $$\frac{x + 2}{4} = 3$$

Accepted Answer

$$x = 10$$

Question 15

Which of the following is NOT a linear equation in one variable?

Accepted Answer

$$x^2 + 1 = 0$

Equations in One Variable: Classification, Linear, Rational, and Absolute Value Equations

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