Chapter 1

Write an algebraic expression for the verbal expression. Geometry The area of a triangle whose base is 20 inches and whose height is \(h\) inches

Solve the inequality. Then graph the solution set on the real number line. \(x^{2}>4\)

Find the real solution(s) of the polynomial equation. Check your solutions. \(x^{3}-7 x^{2}-4 x+28=0\)

In Exercises 9-30, use the Quadratic Formula to solve the quadratic equation. $$ 2 x^{2}+x-1=0 $$

Write the quadratic equation in general form. $$ \frac{3 x^{2}-10}{5}=12 x $$

Write an algebraic expression for the verbal expression. Total Cost The total cost to buy \(x\) units at \(\$ 25\) per unit with a total shipping fee of \(\$ 1200\)

Determine whether each value of \(x\) is a solution of the equation. Equation $$ 3 x^{2}+2 x-5=2 x^{2}-2 $$ Values (a) \(x=-3\) (b) \(x=1\) (c) \(x=4\) (d) \(x=-5\)

Solve the inequality. Then graph the solution set on the real number line. \((x-3)^{2} \geq 1\)

Find the real solution(s) of the polynomial equation. Check your solutions. \(x^{3}+2 x^{2}+3 x+6=0\)

Use the Quadratic Formula to solve the quadratic equation. $$ 2 x^{2}-x-1=0 $$

Write the quadratic equation in general form. $$ \frac{x^{2}-7}{3}=2 x $$

Write an algebraic expression for the verbal expression. Total Revenue The total revenue obtained by selling \(x\) units at \(\$ 3.59\) per unit

Determine whether each value of \(x\) is a solution of the equation. Equation $$ 5 x^{3}+2 x-3=4 x^{3}+2 x-11 $$ Values (a) \(x=2\) (b) \(x=-2\) (c) \(x=0\) (d) \(x=10\)

Solve the inequality. Then graph the solution set on the real number line. \((x+2)^{2}<25\)

Find the real solution(s) of the polynomial equation. Check your solutions. \(x^{4}-x^{3}+x-1=0\)

Use the Quadratic Formula to solve the quadratic equation. $$ 16 x^{2}+8 x-3=0 $$

In Exercises 11-22, solve the quadratic equation by factoring. $$ x^{2}-2 x-8=0 $$

In Exercises 11-16, write an equation that represents the statement. The sum of 5 and \(x\) equals 8 .

Determine whether each value of \(x\) is a solution of the equation. Equation $$ \frac{5}{2 x}-\frac{4}{x}=3 $$ Values (a) \(x=-\frac{1}{2}\) (b) \(x=4\) (c) \(x=0\) (d) \(x=\frac{1}{4}\)

Solve the inequality. Then graph the solution set on the real number line. \((x+6)^{2} \leq 8\)

Find the real solution(s) of the polynomial equation. Check your solutions. \(x^{4}+2 x^{3}-8 x-16=0\)

Use the Quadratic Formula to solve the quadratic equation. $$ 25 x^{2}-20 x+3=0 $$

Solve the quadratic equation by factoring. $$ x^{2}-10 x+9=0 $$

Write an equation that represents the statement. The difference of \(n\) and 7 is 4 .

Determine whether each value of \(x\) is a solution of the equation. Equation $$ 3+\frac{1}{x+2}=4 $$ Values (a) \(x=-1\) (b) \(x=-2\) (c) \(x=0\) (d) \(x=5\)

Solve the inequality. Then graph the solution set on the real number line. \(x^{2}+4 x+4 \geq 9\)

Find the real solution(s) of the polynomial equation. Check your solutions. \(x^{4}-12 x^{2}+11=0\)

Use the Quadratic Formula to solve the quadratic equation. $$ 2+2 x-x^{2}=0 $$

Solve the quadratic equation by factoring. $$ 6 x^{2}+3 x=0 $$

Write an equation that represents the statement. The quotient of \(r\) and 2 is 9 .

Determine whether each value of \(x\) is a solution of the equation. Equation $$ (x+5)(x-3)=20 $$ Values (a) \(x=3\) (b) \(x=-2\) (c) \(x=0\) (d) \(x=-7\)

Solve the inequality. Then graph the solution set on the real number line. \(x^{2}-6 x+9<16\)

Find the real solution(s) of the polynomial equation. Check your solutions. \(x^{4}-29 x^{2}+100=0\)

Use the Quadratic Formula to solve the quadratic equation. $$ x^{2}-10 x+22=0 $$

Solve the quadratic equation by factoring. $$ 9 x^{2}-1=0 $$

Write an equation that represents the statement. The product of \(x\) and 6 equals \(-9\).

Determine whether each value of \(x\) is a solution of the equation. Equation $$ (3 x+5)(2 x-7)=0 $$ Values (a) \(x=-\frac{5}{3}\) (b) \(x=-\frac{2}{7}\) (c) \(x=\frac{2}{3}\) (d) \(x=\frac{3}{2}\)

Solve the inequality. Then graph the solution set on the real number line. \(x^{2}+x<6\)

Determine whether each value of \(x\) is a solution of the equation. Equation $$ \sqrt{2 x-3}=3 $$ Values (a) \(x=6\) (b) \(x=-3\) (c) \(x=-\frac{1}{3}\) (d) \(x=-2\)

Find the real solution(s) of the polynomial equation. Check your solutions. \(x^{4}+5 x^{2}-36=0\)

Use the Quadratic Formula to solve the quadratic equation. $$ x^{2}+14 x+44=0 $$

Solve the quadratic equation by factoring. $$ x^{2}+10 x+25=0 $$

Write an equation that represents the statement. The sum of a number \(n\) and twice the number is 15 .

Solve the inequality. Then graph the solution set on the real number line. \(x^{2}+2 x>3\)

Determine whether each value of \(x\) is a solution of the equation. Equation $$ \sqrt[3]{x-8}=3 $$ Values (a) \(x=2\) (b) \(x=-5\) (c) \(x=35\) (d) \(x=8\)

Find the real solution(s) of the polynomial equation. Check your solutions. \(x^{4}-4 x^{2}+3=0\)

Use the Quadratic Formula to solve the quadratic equation. $$ 6 x=4-x^{2} $$

Solve the quadratic equation by factoring. $$ 16 x^{2}+56 x+49=0 $$

Write an equation that represents the statement. The product of 3 less than \(x\) and 8 is 40 .

Solve the inequality. Then graph the solution set on the real number line. \(3(x-1)(x+1)>0\)