Chapter 1

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

Express each interval in set-builder notation and graph the interval on a number line. $$(1,6]$$

By factoring and then using the zero-product principle. $$ 3 x^{4}-48 x^{2}=0 $$

Solve and check linear equation. \(7 x-5=72\)

Use the five-step strategy for solving word problems to find the number or numbers described in Exercises. When five times a number is decreased by \(4,\) the result is 26 What is the number?

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

In Exercises \(1-12\), plot the given point in a rectangular coordinate system. $$ (1,4) $$

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

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

Express each interval in set-builder notation and graph the interval on a number line. $$(-2,4]$$

By factoring and then using the zero-product principle. $$ 5 x^{4}-20 x^{2}=0 $$

Use the five-step strategy for solving word problems to find the number or numbers described in Exercises. When two times a number is decreased by \(3,\) the result is 11. What is the number?

Solve and check linear equation. \(6 x-3=63\)

In Exercises \(1-12\), plot the given point in a rectangular coordinate system. $$ (2,5) $$

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

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

Express each interval in set-builder notation and graph the interval on a number line. $$[-5,2)$$

By factoring and then using the zero-product principle. $$ 3 x^{3}+2 x^{2}=12 x+8 $$

Use the five-step strategy for solving word problems to find the number or numbers described in Exercises. When a number is decreased by \(20 \%\) of itself, the result is \(20 .\) What is the number?

Solve and check linear equation. \(11 x-(6 x-5)=40\)

In Exercises \(1-12\), plot the given point in a rectangular coordinate system. $$ (-2,3) $$

In Exercises \(1-8,\) add or subtract as indicated and write the result in standard form. $$(-7+5 i)-(-9-11 i)$$

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

Express each interval in set-builder notation and graph the interval on a number line. $$[-4,3)$$

By factoring and then using the zero-product principle. $$ 4 x^{3}-12 x^{2}=9 x-27 $$

Use the five-step strategy for solving word problems to find the number or numbers described in Exercises. When a number is decreased by \(30 \%\) of itself, the result is 28 . What is the number?

Solve and check linear equation. \(5 x-(2 x-10)=35\)

In Exercises \(1-12\), plot the given point in a rectangular coordinate system. $$ (-1,4) $$

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

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

Express each interval in set-builder notation and graph the interval on a number line. $$[-3,1]$$

By factoring and then using the zero-product principle. $$ 2 x-3=8 x^{3}-12 x^{2} $$

Use the five-step strategy for solving word problems to find the number or numbers described in Exercises. When \(60 \%\) of a number is added to the number, the result is 192. What is the number?

Solve and check linear equation. \(2 x-7=6+x\)

In Exercises \(1-12\), plot the given point in a rectangular coordinate system. $$ (-3,-5) $$

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

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

Express each interval in set-builder notation and graph the interval on a number line. $$[-2,5]$$

Use the five-step strategy for solving word problems to find the number or numbers described in Exercises. When \(80 \%\) of a number is added to the number, the result is \(252 .\) What is the number?

Solve and check linear equation. \(3 x+5=2 x+13\)

In Exercises \(1-12\), plot the given point in a rectangular coordinate system. $$ (-4,-2) $$

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

Solve each equation in Exercises \(1-14\) by factoring. $$ 3 x^{2}-2 x=8 $$

Express each interval in set-builder notation and graph the interval on a number line. $$(2, \infty)$$

By factoring and then using the zero-product principle. $$ 4 y^{3}-2=y-8 y^{2} $$

Use the five-step strategy for solving word problems to find the number or numbers described in Exercises. \(70 \%\) of what number is \(224 ?\)

Solve and check linear equation. \(7 x+4=x+16\)

In Exercises \(1-12\), plot the given point in a rectangular coordinate system. $$ (4,-1) $$

In Exercises \(1-8,\) add or subtract as indicated and write the result in standard form. $$15 i-(12-11 i)$$

Solve each equation in Exercises \(1-14\) by factoring. $$ 4 x^{2}-13 x=-3 $$