Chapter 2

In Exercises 11-18, identify the coefficient of the term. $$ -\frac{3 x}{4} $$

In Exercises \(11-22\), translate the verbal phrase into an algebraic expression. $$ \text { Twice } h $$

You are shopping for school supplies. You want to buy 8 notebooks for \(\$ 1.25\) each. Show how you can use the Distributive Property to find the total of the notebooks mentally.

In Exercises 11-18, identify the coefficient of the term. $$ 2 \pi x^{2} $$

In Exercises 17-26, determine whether an algebraic expression or an algebraic equation is given. $$ \frac{1}{2} x $$

In Exercises \(11-22\), translate the verbal phrase into an algebraic expression. $$ \text { The product of } 30 \text { and } c $$

You earn \(\$ 12\) per hour working at a grocery store. You receive a \(10 \%\) raise in pay. Show how you can use the Distributive Property to find your new hourly pay rate.

In Exercises 11-18, identify the coefficient of the term. $$ \pi t^{4} $$

In Exercises 17-26, determine whether an algebraic expression or an algebraic equation is given. $$ -7 x-8=0 $$

In Exercises \(11-22\), translate the verbal phrase into an algebraic expression. $$ w \text { divided by } 3 $$

You are installing solar lighting units along the driveway to your house. Each unit is on sale for \$5. You purchase 18 units. Show how you can use the Distributive Property to find the total cost of the lighting units mentally.

In Exercises 19-36, expand the expression as a product of factors. $$ y^{5} $$

In Exercises 17-26, determine whether an algebraic expression or an algebraic equation is given. $$ 7=9-x $$

In Exercises \(11-22\), translate the verbal phrase into an algebraic expression. $$ d \text { divided by } 100 $$

You are shopping for DVDs. You want to buy 7 DVDs for \(\$ 19.99\) each. Show how you can use the Distributive Property to find the total cost of the DVDs mentally.

In Exercises 19-36, expand the expression as a product of factors. $$ (-x)^{6} $$

In Exercises 17-26, determine whether an algebraic expression or an algebraic equation is given. $$ \frac{5}{6} x+1 $$

In Exercises \(11-22\), translate the verbal phrase into an algebraic expression. $$ \text { The ratio of } x \text { and } 50 $$

In Exercises 21-24, identify the like terms. $$ 16 t^{3}+4 t-5 t+3 t^{3} $$

In Exercises 19-36, expand the expression as a product of factors. $$ 2^{2} x^{4} $$

In Exercises 17-26, determine whether an algebraic expression or an algebraic equation is given. $$ x-4 $$

In Exercises \(11-22\), translate the verbal phrase into an algebraic expression. $$ \text { One-half of } y $$

In Exercises 21-24, identify the like terms. $$ -\frac{1}{4} x^{2}-3 x+\frac{3}{4} x^{2}+x $$

In Exercises 19-36, expand the expression as a product of factors. $$ (-5)^{3} x^{2} $$

In Exercises 17-26, determine whether an algebraic expression or an algebraic equation is given. $$ 2 x+1=4(x-10) $$

In Exercises 23-36, write a verbal description of the algebraic expression, without using a variable. (There is more than one correct answer.) $$ x-10 $$

In Exercises 19-36, expand the expression as a product of factors. $$ 4 y^{2} z^{3} $$

In Exercises 17-26, determine whether an algebraic expression or an algebraic equation is given. $$ \frac{1}{9}(4+8 x)=-15 $$

In Exercises 23-36, write a verbal description of the algebraic expression, without using a variable. (There is more than one correct answer.) $$ x+9 $$

In Exercises 19-36, expand the expression as a product of factors. $$ 3 u v^{4} $$

In Exercises 17-26, determine whether an algebraic expression or an algebraic equation is given. $$ x^{2}+2 x+1 $$

In Exercises 23-36, write a verbal description of the algebraic expression, without using a variable. (There is more than one correct answer.) $$ 3 x+2 $$

In Exercises \(25-32\), simplify the expression by combining like terms. $$ 3 y-5 y $$

In Exercises 19-36, expand the expression as a product of factors. $$ \left(a^{2}\right)^{3} $$

In Exercises 17-26, determine whether an algebraic expression or an algebraic equation is given. $$ x^{2}-4 $$

In Exercises 23-36, write a verbal description of the algebraic expression, without using a variable. (There is more than one correct answer.) $$ 4-7 x $$

In Exercises \(25-32\), simplify the expression by combining like terms. $$ -16 x+25 x $$

In Exercises 19-36, expand the expression as a product of factors. $$ \left(z^{3}\right)^{3} $$

In Exercises 27-32, solve the equation. $$ x-8=5 $$

In Exercises \(25-32\), simplify the expression by combining like terms. $$ x+5-3 x $$

In Exercises 19-36, expand the expression as a product of factors. $$ -4 x^{3} \cdot x^{4} $$

In Exercises 27-32, solve the equation. $$ 4=x-11 $$

In Exercises \(25-32\), simplify the expression by combining like terms. $$ 7 s+3-3 s $$

In Exercises 19-36, expand the expression as a product of factors. $$ a^{2} y^{2} \cdot y^{3} $$

In Exercises 27-32, solve the equation. $$ x+3=19 $$

In Exercises 23-36, write a verbal description of the algebraic expression, without using a variable. (There is more than one correct answer.) $$ 3(2-x) $$

In Exercises \(25-32\), simplify the expression by combining like terms. $$ 2 x+9 x+4 $$

In Exercises 19-36, expand the expression as a product of factors. $$ -9(a b)^{3} $$

In Exercises 27-32, solve the equation. $$ 10+x=3 $$

In Exercises 23-36, write a verbal description of the algebraic expression, without using a variable. (There is more than one correct answer.) $$ -10(t-6) $$