Chapter 1

College Algebra · 657 exercises

Problem 1

In Exercises \(1-16,\) solve and check each linear equation. $$ 7 x-5=72 $$

3 step solution

Problem 1

In Exercises \(1-8,\) add or subtract as indicated and write the result in standard form. $$(7+2 i)+(1-4 i)$$

4 step solution

Problem 1

Solve each quadratic inequality in Exercises \(1-28\) and graph the solution set on a real number line. Express each solution set in interval notation. $$ (x-4)(x+2)>0 $$

5 step solution

Problem 1

Plot the given point in a rectangular coordinate system. $$(1,4)$$

4 step solution

Problem 1

Solve each polynomial equation in by factoring and then using the zero-product principle. $$ 3 x^{4}-48 x^{2}=0 $$

4 step solution

Problem 1

Solve each equation in Exercises \(1-14\) by factoring. $$x^{2}-3 x-10=0$$

3 step solution

Problem 1

In Exercises 1-12, graph the solutions of each inequality on a number line. $$x>6$$

3 step solution

Problem 1

In Exercises \(1-14\), let \(x\) represent the number. Write each English phrase as an algebraic expression. The sum of a number and 9

3 step solution

Problem 2

In Exercises \(1-8,\) add or subtract as indicated and write the result in standard form. $$(-2+6 i)+(4-i)$$

4 step solution

Problem 2

Solve each quadratic inequality in Exercises \(1-28\) and graph the solution set on a real number line. Express each solution set in interval notation. $$ (x+3)(x-5)>0 $$

3 step solution

Problem 2

Plot the given point in a rectangular coordinate system. $$(2,5)$$

4 step solution

Problem 2

Solve each polynomial equation in by factoring and then using the zero-product principle. $$ 5 x^{4}-20 x^{2}=0 $$

3 step solution

Problem 2

Solve each equation in Exercises \(1-14\) by factoring. $$x^{2}-13 x+36=0$$

3 step solution

Problem 2

In Exercises 1-12, graph the solutions of each inequality on a number line. $$x>-2$$

3 step solution

Problem 2

In Exercises \(1-14\), let \(x\) represent the number. Write each English phrase as an algebraic expression. A number increased by 13

3 step solution

Problem 2

In Exercises \(1-16,\) solve and check each linear equation. $$ 6 x-3=63 $$

3 step solution

Problem 3

In Exercises \(1-8,\) add or subtract as indicated and write the result in standard form. $$(3+2 i)-(5-7 i)$$

3 step solution

Problem 3

Solve each quadratic inequality in Exercises \(1-28\) and graph the solution set on a real number line. Express each solution set in interval notation. $$ (x-7)(x+3) \leq 0 $$

4 step solution

Problem 3

Plot the given point in a rectangular coordinate system. $$(-2,3)$$

3 step solution

Problem 3

Solve each polynomial equation in by factoring and then using the zero-product principle. $$ 3 x^{3}+2 x^{2}=12 x+8 $$

4 step solution

Problem 3

Solve each equation in Exercises \(1-14\) by factoring. $$x^{2}=8 x-15$$

4 step solution

Problem 3

In Exercises 1-12, graph the solutions of each inequality on a number line. $$x<-4$$

4 step solution

Problem 3

In Exercises \(1-14\), let \(x\) represent the number. Write each English phrase as an algebraic expression. A number subtracted from 20

3 step solution

Problem 3

In Exercises \(1-16,\) solve and check each linear equation. $$ 11 x-(6 x-5)=40 $$

4 step solution

Problem 4

In Exercises \(1-8,\) add or subtract as indicated and write the result in standard form. $$(3+2 i)-(5-7 i)$$

3 step solution

Problem 4

Solve each quadratic inequality in Exercises \(1-28\) and graph the solution set on a real number line. Express each solution set in interval notation. $$ (x+1)(x-7) \leq 0 $$

5 step solution

Problem 4

Plot the given point in a rectangular coordinate system. $$(-1,4)$$

4 step solution

Problem 4

Solve each polynomial equation in by factoring and then using the zero-product principle. $$ 4 x^{3}-12 x^{2}=9 x-27 $$

6 step solution

Problem 4

Solve each equation in Exercises \(1-14\) by factoring. $$x^{2}=-11 x-10$$

3 step solution

Problem 4

In Exercises 1-12, graph the solutions of each inequality on a number line. $$x<0$$

3 step solution

Problem 4

In Exercises \(1-14\), let \(x\) represent the number. Write each English phrase as an algebraic expression. 13 less than a number

3 step solution

Problem 4

In Exercises \(1-16,\) solve and check each linear equation. $$ 5 x-(2 x-10)=35 $$

3 step solution

Problem 5

In Exercises \(1-8,\) add or subtract as indicated and write the result in standard form. $$6-(-5+4 i)-(-13-11 i)$$

3 step solution

Problem 5

Solve each quadratic inequality in Exercises \(1-28\) and graph the solution set on a real number line. Express each solution set in interval notation. $$ x^{2}-5 x+4>0 $$

3 step solution

Problem 5

Plot the given point in a rectangular coordinate system. $$(-3,-5)$$

3 step solution

Problem 5

Solve each polynomial equation in by factoring and then using the zero-product principle. $$ 2 x-3=8 x^{3}-12 x^{2} $$

3 step solution

Problem 5

Solve each equation in Exercises \(1-14\) by factoring. $$6 x^{2}+11 x-10=0$$

4 step solution

Problem 5

In Exercises 1-12, graph the solutions of each inequality on a number line. $$x \geq-3$$

3 step solution

Problem 5

In Exercises \(1-14\), let \(x\) represent the number. Write each English phrase as an algebraic expression. 8 decreased by 5 times a number

3 step solution

Problem 5

In Exercises \(1-16,\) solve and check each linear equation. $$ 2 x-7=6+x $$

3 step solution

Problem 6

In Exercises \(1-8,\) add or subtract as indicated and write the result in standard form. $$7-(-9+2 i)-(-17-6 i)$$

3 step solution

Problem 6

Solve each quadratic inequality in Exercises \(1-28\) and graph the solution set on a real number line. Express each solution set in interval notation. $$ x^{2}-4 x+3<0 $$

3 step solution

Problem 6

Plot the given point in a rectangular coordinate system. $$(-4,-2)$$

5 step solution

Problem 6

Solve each polynomial equation in by factoring and then using the zero-product principle. $$ 2 x-3=8 x^{3}-12 x^{2} $$

4 step solution

Problem 6

Solve each equation in Exercises \(1-14\) by factoring. $$9 x^{2}+9 x+2=0$$

4 step solution

Problem 6

In Exercises 1-12, graph the solutions of each inequality on a number line. $$x \geq-5$$

3 step solution

Problem 6

Let \(x\) represent the number. Write each English phrase as an algebraic expression. 14 less than the product of 6 and a number

2 step solution

Problem 6

In Exercises \(1-16,\) solve and check each linear equation. $$ 3 x+5=2 x+13 $$

3 step solution

Problem 7

In Exercises \(1-8,\) add or subtract as indicated and write the result in standard form. $$8 i-(14-9 i)$$

3 step solution

Problem 7

Solve each quadratic inequality in Exercises \(1-28\) and graph the solution set on a real number line. Express each solution set in interval notation. $$ x^{2}+5 x+4>0 $$

3 step solution

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