Chapter 1

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

Solve each polynomial equation in by factoring and then using the zero-product principle. $$ 4 y^{3}-2=y-8 y^{2} $$

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

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

Let \(x\) represent the number. Write each English phrase as an algebraic expression. The quotient of 15 and a number

In Exercises \(1-16,\) solve and check each linear equation. $$ 7 x+4=x+16 $$

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

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. $$ x^{2}+x-6>0 $$

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

Solve each polynomial equation in by factoring and then using the zero-product principle. $$ 9 y^{3}+8=4 y+18 y^{2} $$

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

In Exercises 1-12, graph the solutions of each inequality on a number line. $$x \leq 7$$

Let \(x\) represent the number. Write each English phrase as an algebraic expression. The quotient of a number and 15

In Exercises \(1-16,\) solve and check each linear equation. $$ 13 x+14=12 x-5 $$

In Exercises \(9-20,\) find each product and write the result in standard form. $$-3 i(7 i-5)$$

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. $$ x^{2}-6 x+9<0 $$

Plot the given point in a rectangular coordinate system. $$(-4,0)$$

Solve each polynomial equation in by factoring and then using the zero-product principle. $$ 2 x^{4}=16 x $$

Solve each equation in Exercises \(1-14\) by factoring. $$3 x^{2}+12 x=0$$

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

Let \(x\) represent the number. Write each English phrase as an algebraic expression. The sum of twice a number and 20

In Exercises \(1-16,\) solve and check each linear equation. $$ 3(x-2)+7=2(x+5) $$

In Exercises \(9-20,\) find each product and write the result in standard form. $$-8 i(2 i-7)$$

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. $$ x^{2}-2 x+1>0 $$

Plot the given point in a rectangular coordinate system. $$(0,-3)$$

Solve each polynomial equation in by factoring and then using the zero-product principle. $$ 3 x^{4}=81 x $$

Solve each equation in Exercises \(1-14\) by factoring. $$5 x^{2}-20 x=0$$

In Exercises 1-12, graph the solutions of each inequality on a number line. $$-3 \leq x<7$$

Let \(x\) represent the number. Write each English phrase as an algebraic expression. Twice the sum of a number and 20

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

In Exercises \(9-20,\) find each product and write the result in standard form. $$(-5+4 i)(3+7 i)$$

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. $$ x^{2}-6 x+8 \leq 0 $$

Plot the given point in a rectangular coordinate system. $$\left(\frac{7}{2},-\frac{3}{2}\right)$$

Solve each radical equation in Check all proposed solutions. $$ \sqrt{3 x+18}=x $$

Solve each equation in Exercises \(1-14\) by factoring. $$2 x(x-3)=5 x^{2}-7 x$$

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

Let \(x\) represent the number. Write each English phrase as an algebraic expression. 30 subtracted from 7 times a number

In Exercises \(1-16,\) solve and check each linear equation. $$ 3(x-4)-4(x-3)=x+3-(x-2) $$

In Exercises \(9-20,\) find each product and write the result in standard form. $$(-4-8 i)(3+9 i)$$

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. $$ x^{2}-2 x-3 \geq 0 $$

Plot the given point in a rectangular coordinate system. $$\left(-\frac{5}{2}, \frac{3}{2}\right)$$

Solve each radical equation in Check all proposed solutions. $$ \sqrt{20-8 x}=x $$

Solve each equation in Exercises \(1-14\) by factoring. $$16 x(x-2)=8 x-25$$

In Exercises 1-12, graph the solutions of each inequality on a number line. $$-7 \leq x \leq 0$$

Let \(x\) represent the number. Write each English phrase as an algebraic expression. The quotient of 12 and a number, decreased by 3 times the number

In Exercises \(1-16,\) solve and check each linear equation. $$ 2-(7 x+5)=13-3 x $$

In Exercises \(9-20,\) find each product and write the result in standard form. $$(7-5 i)(-2-3 i)$$

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. $$ 3 x^{2}+10 x-8 \leq 0 $$

Graph each equation in Exercises \(13-28 .\) Let \(x=-3,-2,-1\) \(0,1,2,\) and 3. $$y=x^{2}-2$$

Solve each radical equation in Check all proposed solutions. $$ \sqrt{x+3}=x-3 $$