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