Chapter 2: Problem 18
Use a number line to find the sum. $$-5+8+(-2)$$
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Evaluate the expression. $$ 17+100 \div 25-5 $$
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.
DISTRIBUTIVE PROPERTY Use the distributive property to rewrite the expression without parentheses. $$ -y\left(-y^{2}+y\right) $$
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. $$ x+20+0.06(x+20) \leq 58 $$ If the jeans cost \(\$ 35,\) can you buy both the T-shirt and the jeans?
EXPRESSIONS WITH FRACTION BARS Evaluate the expression. $$ \frac{6+7^{2}}{3^{3}-9-7} $$
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