0. Review of Algebra

Use the product rule to simplify the expressions in Exercises 13–22. In Exercises 17–22, assume that variables represent nonnegative real numbers. $\sqrt{125x^2}$

Evaluate each expression. -|-12|

Determine whether each statement is true or false. |25| = |-25|

Identify each set as finite or infinite. Then determine whether 10 is an element of the set. {x | x is a fraction between 8 and 9}

The formula C=5/9(F-32) expresses the relationship between Fahrenheit temperature, F, and Celsius temperature, C. In Exercises 17–18, use the formula to convert the given Fahrenheit temperature to its equivalent temperature on the Celsius scale. 50 °F

Write each improper fraction as a mixed number. 17/12

Write each improper fraction as a mixed number. 16/9

State the name of the property illustrated: (3 • 7) + (4 • 7) = (4 • 7) + (3 •7)

Determine whether each statement is true or false. |5+(-13) | = |5| + |-13|

A football was kicked vertically upward from a height of 4 feet with an initial speed of 60 feet per second. The formula h=4+60t-16t² describes the ball's height above the ground, h, in feet, t seconds after it was kicked. Use this formula to solve Exercises 19–20. What was the ball's height 2 seconds after it was kicked?

Use set notation, and list all the elements of each set. {12, 13, 14,..., 20}

Write each improper fraction as a mixed number. 77/12

Determine whether each statement is true or false. |8-12| = |8| - |12|