Chapter 12

Simplify the expression. $$ \sqrt{24}-\sqrt{96}+\sqrt{6} $$

Solve the equation. $$ \sqrt{6 x}-13=23 $$

Evaluate the function for the given value of x. $$y=\sqrt{x}+4 ; 4$$

Which represents the distributive property? F. \((4 x) y=4(x y)\) G. \(z(1)=z\) H. \(4(x+1)=4 x+4\) J. \(y+0=y\)

Graph the points. Determine whether they are vertices of a right triangle. $$ (4,0),(2,1),(-1,-5) $$

Find the midpoint of the line segment connecting the given points. Then show that the midpoint is the same distance from each point. \((1,2),(0,0)\)

Find the term that should be added to the expression to create a perfect square trinomial. $$ x^{2}-40 x $$

Evaluate the expression without using a calculator. $$ (\sqrt[3]{27})^{4} $$

Simplify the expression. $$ \sqrt{3} \cdot \sqrt{75} $$

Solve the equation. $$ \sqrt{4 x+1}+5=10 $$

Evaluate the function for the given value of x. $$y=10-\sqrt{x} ; 16$$

Evaluate the function for the given value of x. $$y=\sqrt{x-7} ; 56$$

Solve the percent problem. (Lesson 3.9) How much is \(15 \%\) of 15 dollars?

Find the midpoint of the line segment connecting the given points. Then show that the midpoint is the same distance from each point. \((3,0),(-5,4)\)

Graph the points. Determine whether they are vertices of a right triangle. $$ (5,4),(2,1),(-3,2) $$

Find the term that should be added to the expression to create a perfect square trinomial. $$ x^{2}+4 x $$

Evaluate the expression without using a calculator. $$ 4^{3 / 2} $$

Simplify the expression. $$ \sqrt{16} \cdot \sqrt{4} $$

Solve the equation. $$ \sqrt{9-x}-10=14 $$

Evaluate the function for the given value of x. $$ y=\sqrt{3 x-5} ; 7 $$

Solve the percent problem. (Lesson 3.9) 100 is \(1 \%\) of what number?

Find the midpoint of the line segment connecting the given points. Then show that the midpoint is the same distance from each point. \((5,1),(1,-5)\)

Graph the points. Determine whether they are vertices of a right triangle. $$ (1,-5),(2,3),(-3,4) $$

Find the term that should be added to the expression to create a perfect square trinomial. $$ x^{2}-6 x $$

Simplify the expression. $$ \sqrt{18} \cdot \sqrt{5} $$

Solve the equation. $$ \sqrt{5 x+1}+2=6 $$

Find the midpoint of the line segment connecting the given points. Then show that the midpoint is the same distance from each point. \((2,7),(4,3)\)

Graph the points. Determine whether they are vertices of a right triangle. $$ (-1,1),(-3,3),(-7,-1) $$

Find the term that should be added to the expression to create a perfect square trinomial. $$ x^{2}+16 x $$

Evaluate the expression without using a calculator. $$ (\sqrt{100})^{3} $$

Simplify the expression. $$ \sqrt{5} \cdot \sqrt{8} $$

Solve the equation. $$ \sqrt{6 x-2}-3=7 $$

Evaluate the function for the given value of x. $$y=\sqrt{21-2 x}:-2$$

Solve the percent problem. (Lesson 3.9) 5 is \(25 \%\) of what number?

Find the midpoint of the line segment connecting the given points. Then show that the midpoint is the same distance from each point. \((-3,-2),(1,7)\)

Graph the points. Determine whether they are vertices of a right triangle. $$ (-3,2),(-3,5),(0,2) $$

Solve by completing the square. $$ x^{2}-8 x+12=0 $$

Evaluate the expression without using a calculator. $$ (\sqrt[3]{64})^{4} $$

Simplify the expression. $$ \sqrt{6}(\sqrt{6}-1) $$

Find the domain of the function. Then use several values in the domain to make a table of values for the function. $$y=6 \sqrt{x}$$

Solve the equation. $$ 4=7-\sqrt{33 x-2} $$

Determine whether the equation has two solutions, one solution, or no real solution. (Lesson 9.7) $$ x^{2}-2 x+4=0 $$

Find the midpoint of the line segment connecting the given points. Then show that the midpoint is the same distance from each point. \((-3,-3),(6,7)\)

Graph the points. Determine whether they are vertices of a right triangle. $$ (3,-1),(2,4),(-3,0) $$

Solve by completing the square. $$ x^{2}-2 x=3 $$

Evaluate the expression. $$ 3^{5 / 3} \cdot 3^{1 / 3} $$

Simplify the expression. $$ \sqrt{6}(7 \sqrt{3}+6) $$

Find the domain of the function. Then use severalvalues in the domain to make a table of values for the function. $$y=\sqrt{x-17}$$

Solve the equation. $$ 4 \sqrt{3 x+3}=24 $$

Determine whether the equation has two solutions, one solution, or no real solution. (Lesson 9.7) $$ 2 x^{2}+4 x-2=0 $$