Chapter 3
Elementary Algebra · 421 exercises
Problem 1
Solve each equation. $$7(x+2)=21$$
3 step solution
Problem 1
Solve each equation. $$2 x+5=13$$
4 step solution
Problem 1
For Problems \(1-72\), use the properties of equality to help solve each equation. $$ x+9=17 $$
4 step solution
Problem 1
For Problems \(1-50\), solve each inequality. (Objectives 1 and 2) $$ 3 x+4>x+8 $$
5 step solution
Problem 1
Solve each equation. $$2 x+7+3 x=32$$
3 step solution
Problem 1
For Problems \(1-10\), determine whether each numerical inequality is true or false. (Objective 1) $$ 2(3)-4(5)<5(3)-2(-1)+4 $$
4 step solution
Problem 2
Solve each equation. $$4(x+4)=24$$
4 step solution
Problem 2
Solve each equation. $$3 x+4=19$$
2 step solution
Problem 2
For Problems \(1-72\), use the properties of equality to help solve each equation. $$ x+7=21 $$
5 step solution
Problem 2
For Problems \(1-50\), solve each inequality. (Objectives 1 and 2) $$ 5 x+3<3 x+11 $$
5 step solution
Problem 2
Solve each equation. $$3 x+9+4 x=30$$
3 step solution
Problem 2
For Problems \(1-10\), determine whether each numerical inequality is true or false. (Objective 1) $$ 5+6(-3)-8(-4)>17 $$
3 step solution
Problem 3
Solve each equation. $$5(x-3)=35$$
3 step solution
Problem 3
Solve each equation. $$5 x+2=32$$
2 step solution
Problem 3
For Problems \(1-72\), use the properties of equality to help solve each equation. $$ x+11=5 $$
4 step solution
Problem 3
Solve each equation. $$7 x-4-3 x=-36$$
3 step solution
Problem 3
For Problems \(1-10\), determine whether each numerical inequality is true or false. (Objective 1) $$ \frac{2}{3}-\frac{3}{4}+\frac{1}{6}>\frac{1}{5}+\frac{3}{4}-\frac{7}{10} $$
5 step solution
Problem 4
Solve each equation. $$6(x-2)=18$$
6 step solution
Problem 4
Solve each equation. $$7 x+3=24$$
2 step solution
Problem 4
For Problems \(1-72\), use the properties of equality to help solve each equation. $$ x+13=2 $$
4 step solution
Problem 4
For Problems \(1-50\), solve each inequality. (Objectives 1 and 2) For Problems \(1-50\), solve each inequality. (Objectives 1 and 2) $$ 8 x-1>4 x-21 $$
3 step solution
Problem 4
Solve each equation. $$8 x-3-2 x=-45$$
3 step solution
Problem 4
For Problems \(1-10\), determine whether each numerical inequality is true or false. (Objective 1) $$ \left(-\frac{1}{2}\right)\left(\frac{4}{9}\right)>\left(\frac{3}{5}\right)\left(-\frac{1}{3}\right) $$
4 step solution
Problem 5
Solve each equation. $$-3(x+5)=12$$
3 step solution
Problem 5
Solve each equation. $$3 x-1=23$$
2 step solution
Problem 5
For Problems \(1-72\), use the properties of equality to help solve each equation. $$ -7=x+2 $$
4 step solution
Problem 5
For Problems \(1-50\), solve each inequality. (Objectives 1 and 2) $$ 6 x+7>3 x-3 $$
5 step solution
Problem 5
Solve each equation. $$3 y-1+2 y-3=4$$
4 step solution
Problem 5
For Problems \(1-10\), determine whether each numerical inequality is true or false. (Objective 1) $$ \left(-\frac{1}{2}\right)\left(\frac{4}{9}\right)>\left(\frac{3}{5}\right)\left(-\frac{1}{3}\right) $$
3 step solution
Problem 6
Solve each equation. $$-5(x-6)=-15$$
3 step solution
Problem 6
Solve each equation. $$2 x-5=21$$
5 step solution
Problem 6
For Problems \(1-72\), use the properties of equality to help solve each equation. $$ -12=x+4 $$
5 step solution
Problem 6
For Problems \(1-50\), solve each inequality. (Objectives 1 and 2) $$ 7 x+5<4 x-12 $$
3 step solution
Problem 6
Solve each equation. $$y+3+2 y-4=6$$
3 step solution
Problem 6
For Problems \(1-10\), determine whether each numerical inequality is true or false. (Objective 1) $$ \left(\frac{5}{6}\right)\left(\frac{8}{12}\right)<\left(\frac{3}{7}\right)\left(\frac{14}{15}\right) $$
4 step solution
Problem 7
Solve each equation. $$4(t-6)=5$$
4 step solution
Problem 7
Solve each equation. $$4 n-3=41$$
4 step solution
Problem 7
For Problems \(1-72\), use the properties of equality to help solve each equation. $$ 8=n+14 $$
4 step solution
Problem 7
Solve each equation. $$5 n-2-8 n=31$$
3 step solution
Problem 7
For Problems \(1-10\), determine whether each numerical inequality is true or false. (Objective 1) $$ \frac{3}{4}+\frac{2}{3} \div \frac{1}{5}>\frac{2}{3}+\frac{1}{2} \div \frac{3}{4} $$
5 step solution
Problem 8
Solve each equation. $$3(n+4)=7$$
3 step solution
Problem 8
Solve each equation. $$5 n-6=19$$
3 step solution
Problem 8
For Problems \(1-72\), use the properties of equality to help solve each equation. $$ 6=n+19 $$
4 step solution
Problem 8
For Problems \(1-50\), solve each inequality. (Objectives 1 and 2) $$ 4 n-3 \geq 5 n+6 $$
4 step solution
Problem 8
For Problems \(1-10\), determine whether each numerical inequality is true or false. (Objective 1) $$ 1.9-2.6-3.4<2.5-1.6-4.2 $$
3 step solution
Problem 9
Solve each equation. $$6(n+7)=8$$
5 step solution
Problem 9
Solve each equation. $$6 y-1=16$$
3 step solution
Problem 9
For Problems \(1-72\), use the properties of equality to help solve each equation. $$ 21+y=34 $$
3 step solution
Problem 9
Solve each equation. $$-2 n+1-3 n+n-4=7$$
4 step solution
Problem 9
For Problems \(1-10\), determine whether each numerical inequality is true or false. (Objective 1) $$ 0.16+0.34>0.23+0.17 $$
3 step solution