Chapter 2

In Exercises \(1-10\), determine whether each value of \(x\) is a solution of the equation. \(2 x-18=0\) (a) \(x=0\) (b) \(x=9\)

In Exercises \(1-6\), construct a verbal model for the given situation. $$ \text { You earn } \$ 10 \text { per hour. How much do you earn for working } x \text { hours? } $$

In Exercises 1-4, identify the variable(s) in the expression. $$ x+3 $$

In Exercises \(1-10\), determine whether each value of \(x\) is a solution of the equation. \(3 x-3=0\) (a) \(x=4\) (b) \(x=1\)

In Exercises \(1-6\), construct a verbal model for the given situation. $$ \text { You bought } x \text { CDs online and } y \text { CDs from a store. How many total CDs did you buy? } $$

In Exercises 1-4, identify the variable(s) in the expression. $$ y-1 $$

In Exercises \(1-10\), determine whether each value of \(x\) is a solution of the equation. \(6 x+1=-11\) (a) \(x=2\) (b) \(x=-2\)

In Exercises \(1-6\), construct a verbal model for the given situation. $$ \text { You have } 20 \text { coupons. You use } c \text { coupons when you pay the bill. How many coupons do you have left? } $$

In Exercises 1-4, complete the statement. Then state the property of algebra that you used. $$ 5(t-2)=5(\quad)+5(\quad) $$

In Exercises 1-4, identify the variable(s) in the expression. $$ m+n $$

In Exercises \(1-10\), determine whether each value of \(x\) is a solution of the equation. \(2 x+5=-15\) (b) \(x=-10\) (b) \(x=5\)

In Exercises \(1-6\), construct a verbal model for the given situation. $$ \text { You want to evenly divide } 15 \text { tickets between } p \text { people. How many tickets will each person receive? } $$

In Exercises 1-4, complete the statement. Then state the property of algebra that you used. $$ x(y+4)=x(\quad)+x(\quad) $$

In Exercises 1-4, identify the variable(s) in the expression. $$ a+b $$

In Exercises \(1-10\), determine whether each value of \(x\) is a solution of the equation. \(x+5=2 x\) (a) \(x=-1\) (b) \(x=5\)

In Exercises \(1-6\), construct a verbal model for the given situation. $$ \text { A carton of eggs costs } \$ 2.89 \text {. How much will it cost to buy } m \text { cartons? } $$

$$ \text { In Exercises 5-12, use the Distributive Property to expand the expression. } $$ $$ 2(16+8 z) $$

In Exercises 5-10, identify the terms of the expression. $$ 4 x+3 $$

In Exercises \(1-10\), determine whether each value of \(x\) is a solution of the equation. \(15-2 x=3 x\) (a) \(x=3\) (b) \(x=5\)

In Exercises \(1-6\), construct a verbal model for the given situation. $$ \text { You have } x \text { dollars. How much money will you have after loaning } \$ 5 \text { to a friend? } $$

$$ \text { In Exercises 5-12, use the Distributive Property to expand the expression. } $$ $$ 3(7-4 a) $$

In Exercises 5-10, identify the terms of the expression. $$ 5-3 t^{2} $$

In Exercises \(1-10\), determine whether each value of \(x\) is a solution of the equation. \(7 x+1=4(x-2)\) (a) \(x=1\) (b) \(x=12\)

A cash register contains \(d\) dimes. Write an algebraic expression that represents the total amount of money (in dollars).

$$ \text { In Exercises 5-12, use the Distributive Property to expand the expression. } $$ $$ -5(2 x-y) $$

In Exercises 5-10, identify the terms of the expression. $$ \frac{5}{3}-3 y^{3} $$

In Exercises \(1-10\), determine whether each value of \(x\) is a solution of the equation. \(5 x-1=3(x+5)\) (a) \(x=8\) (b) \(x=-2\)

A bag of apples costs \(\$ 4.99\). Write an algebraic expression that represents the total cost of \(b\) bags of apples.

$$ \text { In Exercises 5-12, use the Distributive Property to expand the expression. } $$ $$ -3(11 y-6) $$

In Exercises 5-10, identify the terms of the expression. $$ 6 x+\frac{2}{3} $$

In Exercises \(1-10\), determine whether each value of \(x\) is a solution of the equation. \(2 x+10=7(x+1)\) (a) \(x=\frac{3}{5}\) (b) \(x=-\frac{2}{3}\)

A cash register contains \(d\) dimes and \(q\) quarters. Write an algebraic expression that represents the total amount of money (in dollars).

In Exercises 5-10, identify the terms of the expression. $$ a^{2}+4 a b+b^{2} $$

$$ \text { In Exercises 5-12, use the Distributive Property to expand the expression. } $$ $$ (x+1) 8 $$

In Exercises \(1-10\), determine whether each value of \(x\) is a solution of the equation. \(3(3 x+2)=9-x\) (a) \(x=-\frac{3}{4}\) (b) \(x=\frac{3}{10}\)

Apples cost \(\$ 3.29\) per pound and oranges cost \(\$ 2.99\) per pound. Write an algebraic expression that represents the total cost of buying \(a\) pounds of apples and \(g\) pounds of oranges.

$$ \text { In Exercises 5-12, use the Distributive Property to expand the expression. } $$ $$ (r+10) 2 $$

In Exercises 5-10, identify the terms of the expression. $$ x^{2}+18 x y+y^{2} $$

In Exercises \(11-22\), translate the verbal phrase into an algebraic expression. $$ x \text { increased by } 5 $$

$$ \text { In Exercises 5-12, use the Distributive Property to expand the expression. } $$ $$ -6 s(6 s-1) $$

In Exercises 11-18, identify the coefficient of the term. $$ 14 x $$

In Exercises \(11-22\), translate the verbal phrase into an algebraic expression. $$ 17 \text { more than } y $$

$$ \text { In Exercises 5-12, use the Distributive Property to expand the expression. } $$ $$ -(u-v) $$

In Exercises 11-18, identify the coefficient of the term. $$ 25 y $$

In Exercises \(11-22\), translate the verbal phrase into an algebraic expression. $$ b \text { decreased by } 25 $$

In Exercises 11-18, identify the coefficient of the term. $$ -\frac{1}{3} y $$

In Exercises \(11-22\), translate the verbal phrase into an algebraic expression. $$ k \text { decreased by } 7 $$

In Exercises 11-18, identify the coefficient of the term. $$ \frac{2}{3} n $$

In Exercises \(11-22\), translate the verbal phrase into an algebraic expression. $$ \text { Six less than } g $$

In Exercises \(11-22\), translate the verbal phrase into an algebraic expression. $$ \text { Ten more than } x $$