Chapter 1

Find each product and write the result in standard form. $$ -3 i(7 i-5) $$

One number exceeds another by \(26 .\) The sum of the numbers is \(64 .\) What are the numbers?

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

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

solve and check each linear equation. $$ 2(x-1)+3-x-3(x+1) $$

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

Express interval in set-builder notation and graph the interval on a number line. \([-5, \infty)\)

Find each product and write the result in standard form. $$ -8 i(2 i-7) $$

One number exceeds another by \(24 .\) The sum of the numbers is \(58 .\) What are the numbers?

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

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

solve and check each linear equation. $$ 3(x-4)-4(x-3)-x+3-(x-2) $$

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

Express interval in set-builder notation and graph the interval on a number line. \((-\infty, 3)\)

Find each product and write the result in standard form. $$ (-5+4 i)(3+i) $$

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

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

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

Find each product and write the result in standard form. $$ (-4-8 i)(3+i) $$

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

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

Express interval in set-builder notation and graph the interval on a number line. \((-\infty, 5.5)\)

Find each product and write the result in standard form. $$ (7-5 i)(-2-3 i) $$

Graph each equation .Let $x=-3,-2,-1,0,1,2, and 3. $$ y=x^{2}-2 $$

solve and check each linear equation. $$ 5 x-(2 x+2)-x+(3 x-5) $$

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

Express interval in set-builder notation and graph the interval on a number line. \((-\infty, 3.5]\)

Find each product and write the result in standard form. $$ (8-4 i)(-3+9 i) $$

Graph each equation .Let $x=-3,-2,-1,0,1,2, and 3. $$ y=x^{2}+2 $$

Solve cach equation in Exercises \(15-34\) by the square root property. $$3 x^{2}=27$$

solve and check each linear equation. $$ \begin{aligned} &25-[2+5 y-3(y+2)]-\\\ &-3(2 y-5)-[5(y-1)-3 y+3] \end{aligned} $$

Express interval in set-builder notation and graph the interval on a number line. \((-3,0) \cap[-1,2]\)

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

Graph each equation .Let $x=-3,-2,-1,0,1,2, and 3. $$ y=x-2 $$

solve and check each linear equation. $$ \begin{array}{l} 45-[4-2 y-4(y+7)]- \\ -4(1+3 y)-[4-3(y+2)-2(2 y-5)] \end{array} $$

Solve cach equation in Exercises \(15-34\) by the square root property. $$5 x^{2}=45$$

Express interval in set-builder notation and graph the interval on a number line. \((-4,0) \cap[-2,1]\)

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

Graph each equation .Let $x=-3,-2,-1,0,1,2, and 3. $$ y=x+2 $$

Solve each radical equation. Check all proposed solutions. $$\sqrt{6 x+1}-x-1$$

Solve cach equation in Exercises \(15-34\) by the square root property. $$5 x^{2}+1=51$$

Express interval in set-builder notation and graph the interval on a number line. \((-3,0) \cup[-1,2]\)

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

Graph each equation .Let $x=-3,-2,-1,0,1,2, and 3. $$ y=2 x+1 $$

Solve each radical equation. Check all proposed solutions. $$x-\sqrt{2 x+5}-5$$

Solve cach equation in Exercises \(15-34\) by the square root property. $$3 x^{2}-1=47$$

Express interval in set-builder notation and graph the interval on a number line. \((-4,0) \cup[-2,1]\)

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

Graph each equation .Let $x=-3,-2,-1,0,1,2, and 3. $$ y=2 x-4 $$

Solve cach equation in Exercises \(15-34\) by the square root property. $$2 x^{2}-5=-55$$