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

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