Chapter 2: Problem 30
Simplify the variable expression. $$(-3)(-y)$$
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DISTRIBUTIVE PROPERTY Use the distributive property to rewrite the expression without parentheses. $$ (w+6) 4 $$
RECIPROCALS Find the reciprocal. $$ 4 \frac{1}{2} $$
SIMPLIFYING EXPRESSIONS Simplify the expression by combining like terms. $$ \frac{7}{9} w+\left(-\frac{2}{3}\right) w $$
LOGICAL REASONING Your friend does not understand how the product of \(a\) and \((b+c)\) is given by both \(a b+a c\) and \(b a+c a\) Use the properties of multiplication to write a convincing argument to show your friend that both statements are correct.
BUYING JEANS You have 58 dollar, and you want to buy a pair of jeans and a \(\$ 20\) T-shirt. There is a \(6 \%\) sales tax. If \(x\) represents the cost of the jeans, then the following inequality is a model that shows how much you can spend on the jeans. $$ x+20+0.06(x+20) \leq 58 $$ Simplify the left side of the inequality.
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