91Ó°ÊÓ

In Exercises \(83-85,\) choose the statement that is true about the given numbers. (A) The number in column A is greater. (B) The number in column B is greater. (C) The two numbers are equal. (D) The relationship cannot be determined from the given information. Column A Column B $$ -\left|\frac{2}{3}\right|-\frac{2}{3} | $$

Decide whether the statement is true or false. Use the subtraction rule or a number line to support your answer. If you subtract a positive number from a negative number, the result is always a negative number.

Evaluate the expression for the given value of the variable. $$3 x^{2} \text { when } x=7$$

LEAVING A TIP In Exercises \(83-85\), use the following information. You and a friend decide to leave a \(15 \%\) tip for restaurant service. You compute the tip, \(T,\) as \(T=0.15 C,\) where \(C\) represents the cost of the meal. Your friend claims that an easier way to mentally compute the tip is to calculate \(10 \%\) of the cost of the meal plus one half of \(10 \%\) of the cost of the meal. Write an equation that represents your friend's method of computing the tip.

Graph the numbers on a number line. Then write two inequalities that compare the two numbers. \(-4\) and 9

Evaluate the expression for the given value of the variable. $$4\left(b^{3}\right) \text { when } b=\frac{1}{2}$$

Evaluate the expression. $$ 89-8 \cdot 5-27 $$

LEAVING A TIP In Exercises \(83-85\), use the following information. You and a friend decide to leave a \(15 \%\) tip for restaurant service. You compute the tip, \(T,\) as \(T=0.15 C,\) where \(C\) represents the cost of the meal. Your friend claims that an easier way to mentally compute the tip is to calculate \(10 \%\) of the cost of the meal plus one half of \(10 \%\) of the cost of the meal. Simplify the equation. What property did you use to simplify the equation?

Graph the numbers on a number line. Then write two inequalities that compare the two numbers. $$-\frac{1}{2} \text { and } \frac{1}{3}$$

Evaluate the expression for the given value of the variable. $$2\left(y^{3}\right) \text { when } y=-5$$