Radical Equations and Extraneous Roots — Unit test Answers

The standard diameter of a golf ball is 42.67 mm. A golf ball factory does quality control on the balls it manufactures. Golf balls are randomly measured to ensure the correct size. One day, an inspector decides to stop production if the discrepancy in diameter is more than 0.002 mm. What is the range of acceptable values?

Amber is solving the inequality by graphing. Which equations should Amber graph?

What is the domain of the absolute value function below?

Aaron solved an inequality and then graphed the solution as shown below. Which inequality did Aaron solve?

Which compound inequality is equivalent to for all real numbers a, b, and c, where ?

Which graph represents the function f(x) = –|x + 3|?

Which of the following represents the solution to the inequality ?

The standard form of an absolute value function is . Which of the following represents the vertex?

A cyclist rides at an average speed of 31 miles per hour. The cyclist’s speed, s, can differ from the average by as much as 8 miles per hour. The absolute value inequality represents this situation. If the compound inequality and also represents this situation, what is the value of x in the compound inequality?

What is the vertex of the graph of f(x) = |x + 5| – 6?

On each coordinate plane, the parent function f(x) = |x| is represented by a dashed line and a translation is represented by a solid line. Which graph represents the translation g(x) = |x + 2| as a solid line?

Haley pays a monthly fee of $20 for her cell phone and then pays 5 cents per minute used. The total cost of Haley’s monthly cell phone bill can be expressed by the function C(m) = 0.05m + 20, where m is the number of minutes used. What are the domain and range of the function C(m)?

On a coordinate plane, an absolute value graph has a vertex at (10, 6).

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Which inequality is equivalent to ?