Question 1

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

Accepted Answer

$$ax + b = 0$$, where $$a$$ and $$b$$ are real numbers and $$a 
eq 0$$

Question 2

Solve for $$x$$: $$3(x - 5) = 6x - 2x$$

Accepted Answer

$$x = 3$$

Question 3

Which of the following steps is NOT part of the general process for solving a linear equation?

Accepted Answer

Take the square root of both sides

Question 4

Solve for $$x$$: $$\frac{4}{3} - \frac{5}{6} = x$$

Accepted Answer

$$x = \frac{1}{2}$$

Question 5

What is the least common denominator (LCD) for the equation $$\frac{2}{x} + \frac{3}{5} = \frac{1}{3x}$$?

Accepted Answer

$$15x$$

Question 6

Solve for $$x$$: $$\frac{5}{2x} = \frac{1}{15} + \frac{1}{3x}$$

Accepted Answer

$$x = 3$$

Question 7

Which of the following best describes an identity equation?

Accepted Answer

An equation that is true for all real numbers

Question 8

Determine the type of equation: $$4x + 8 = 4(x + 2)$$

Accepted Answer

Identity

Question 9

Solve for $$x$$: $$\frac{1}{x+1} + 4 = \frac{17}{x-1}$$

Accepted Answer

$$x = 5$$

Question 10

A chemical solution is diluted so that its concentration $$C (in mg/L) $$after $$x$$ years is modeled by $$C = 0.9x + 125.5. $$What is the concentration after 10 years?

Accepted Answer

$$C = 134.5$$

Question 11

Which of the following equations is inconsistent?

Accepted Answer

$$2x + 3 = 2x + 5$$

Question 12

Solve for $$x$$: $$7x - 21 = 5x + 7$$

Accepted Answer

Question 13

A medical study models the average level of a drug in the bloodstream by $$D = 10x + 5.2$$, where $$x is $$the number of hours after administration. What is the average level after 3 hours?

Accepted Answer

$$D = 25.2$$

Question 14

Which of the following is a conditional equation?

Accepted Answer

$$3x - 1 = 2x + 4$$

Question 15

Solve for $$x$$: $$\frac{2}{x} = \frac{12}{x+2}$$

Accepted Answer

$$x = 2$$

Question 16

If $$x = 2 is a $$solution to the equation $$\frac{5}{x-2} = \frac{3}{x-2}$$, what type of equation is this?

Accepted Answer

Inconsistent

Question 17

A company’s cost $$C (in $$dollars) to produce $$x$$ units is given by $$C = 0.03x^2$ + 7.4x + 125.6. $$What is the cost to produce 10 units?

Accepted Answer

$$C = 229.6$$

Question 18

Which of the following is the correct first step to solve $$\frac{3x-2}{4} = \frac{x+5}{2}$$?

Accepted Answer

Multiply both sides by 4

Solving Linear Equations and Applications in College Algebra

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