Chapter 2: Problem 19
Find the difference. $$ -2-(-7) $$
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EVALUATING EXPRESSIONS Evaluate the expression. $$ -7+9-8 $$
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. $$ -3.5(6.1+8.2) \stackrel{2}{=}-3.5(6.1)-3.5(8.2) $$
LOGICAL REASONING You are tutoring a friend in algebra. After learning the distributive property, your friend attempts to apply this property to multiplication and gets \(2(x y)=2 x \cdot 2 y\) Write a convincing argument to show your friend that this is incorrect.
DISTRIBUTIVE PROPERTY Use the distributive property to rewrite the expression without parentheses. $$ (6-3 w)\left(-w^{2}\right) $$
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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