Chapter 1

Solve and check each linear equation. $$\begin{array}{l}{25-[2+5 y-3(y+2)]=} \\\\{-3(2 y-5)-[5(y-1)-3 y+3]}\end{array}$$

Find each product and write the result in standard form. $$ (3+5 i)(3-5 i) $$

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

Solve each radical equation in Exercises 11–30. Check all proposed solutions. $$\sqrt{6 x+1}=x-1$$

Solve equation by the square root property. $$ 5 x^{2}=45 $$

After a \(30 \%\) reduction, you purchase a dictionary for \(\$ 30.80 .\) What was the dictionary's price before the reduction?

Solve and check each linear equation. $$\begin{aligned}&45-[4-2 y-4(y+7)]=\\\&-4(1+3 y)-[4-3(y+2)-2(2 y-5)]\end{aligned}$$

Find each product and write the result in standard form. $$ (2+7 i)(2-7 i) $$

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

Solve each radical equation in Exercises 11–30. Check all proposed solutions. $$x-\sqrt{2 x+5}=5$$

Solve equation by the square root property. $$ 5 x^{2}+1=51 $$

Including \(8 \%\) sales tax, an inn charges \(\$ 162\) per night. Find the inn's nightly cost before the tax is added.

Contain linear equations with constants in denominators. Solve each equation. $$\frac{x}{3}=\frac{x}{2}-2$$

Find each product and write the result in standard form. $$ (-5+i)(-5-i) $$

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

Solve each radical equation in Exercises 11–30. Check all proposed solutions. $$x-\sqrt{x+11}=1$$

Solve equation by the square root property. $$ 3 x^{2}-1=47 $$

Including \(5 \%\) sales tax, an inn charges \(\$ 252\) per night. Find the inn's nightly cost before the tax is added.

Contain linear equations with constants in denominators. Solve each equation. $$\frac{x}{5}=\frac{x}{6}+1$$

Find each product and write the result in standard form. $$ (-7-i)(-7+i) $$

Graph each equation in Exercises \(13-28 .\) Let \(x=-3,-2,-1,0\) \(1,2,\) and 3. $$ y=2 x-4 $$

Solve each radical equation in Exercises 11–30. Check all proposed solutions. $$\sqrt{2 x+19}-8=x$$

In Exercises 15–26, use graphs to find each set. $$ (-\infty, 5) \cap[1,8) $$

Solve equation by the square root property. $$ 2 x^{2}-5=-55 $$

The selling price of a refrigerator is \(\$ 584 .\) If the markup is \(25 \%\) of the dealer's cost, what is the dealer's cost of the refrigerator?

Contain linear equations with constants in denominators. Solve each equation. $$20-\frac{x}{3}=\frac{x}{2}$$

Find each product and write the result in standard form. $$ (2+3 i)^{2} $$

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

Solve each radical equation in Exercises 11–30. Check all proposed solutions. $$\sqrt{2 x+15}-6=x$$

In Exercises 15–26, use graphs to find each set. $$ (-\infty, 6) \cap[2,9) $$

Solve equation by the square root property. $$ 2 x^{2}-7=-15 $$

The selling price of a scientific calculator is \(\$ 15 .\) If the markup is \(25 \%\) of the dealer's cost, what is the dealer's cost of the calculator?

Contain linear equations with constants in denominators. Solve each equation. $$\frac{x}{5}-\frac{1}{2}=\frac{x}{6}$$

Find each product and write the result in standard form. $$ (5-2 i)^{2} $$

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

Solve each radical equation in Exercises 11–30. Check all proposed solutions. $$\sqrt{3 x}+10=x+4$$

Solve equation by the square root property. $$ (x+2)^{2}=25 $$

You invested \(\$ 7000\) in two accounts paying \(6 \%\) and \(8 \%\) annual interest. If the total interest earned for the year was \(\$ 520,\) how much was invested at each rate?

Contain linear equations with constants in denominators. Solve each equation. $$\frac{3 x}{5}=\frac{2 x}{3}+1$$

Divide and express the result in standard form. $$ \frac{2}{3-i} $$

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

Solve each radical equation in Exercises 11–30. Check all proposed solutions. $$\sqrt{x}-3=x-9$$

Solve equation by the square root property. $$ (x-3)^{2}=36 $$

You invested \(\$ 11,000\) in two accounts paying \(5 \%\) and \(8 \%\) annual interest. If the total interest earned for the year was \(\$ 730,\) how much was invested at each rate?

Contain linear equations with constants in denominators. Solve each equation. $$\frac{x}{2}=\frac{3 x}{4}+5$$

Divide and express the result in standard form. $$ \frac{3}{4+i} $$

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

Solve each radical equation in Exercises 11–30. Check all proposed solutions. $$\sqrt{x+8}-\sqrt{x-4}=2$$

In Exercises 15–26, use graphs to find each set. $$[3, \infty) \cap(6, \infty)$$

Solve equation by the square root property. $$ 3(x-4)^{2}=15 $$