Chapter 2: Problem 5
Use the subtraction rule to rewrite the subtraction expression as an equivalent addition expression. Then evaluate the expression. $$ 3-(-8) $$
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DISTRIBUTIVE PROPERTY Use the distributive property to rewrite the expression without parentheses. $$ -y\left(-y^{2}+y\right) $$
Evaluate the expression. $$ (27 \div 9) \div(7-5) $$
Simplify the expression by combining like terms if possible. $$ 9 x+2 $$
LOGICAL REASONING Decide whether the statement is true or false If false, rewrite the right-hand side of the equation so the statement is true. $$ \frac{2}{9}\left(\frac{1}{3}-\frac{4}{9}\right) \stackrel{?}{=} \frac{2}{9}\left(\frac{1}{3}\right)-\frac{2}{9}\left(\frac{4}{9}\right) $$
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.
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