Chapter 11

Evaluate the expression. Check the results by squaring the answer. (Lesson 9.1) $$ \sqrt{10,000} $$

Completely factor the expression. $$ 7 x^{2}+8 x+1 $$

Rewrite the expression with positive exponents. (Lesson 8.2) $$ \frac{1}{(-7 m)^{-3}} $$

In Exercises 54–56, use the function y x 9, where 2 ? x ? 6. (Lesson 1.8) State the domain and range of the function.

Write in point-slope form the equation of the line that passes through the given point and has the given slope. $$ (0,5), m=-1 $$

What is the LCD of \(\frac{1}{2 x}, \frac{3 x}{7 x^{2}},\) and \(\frac{3+x}{4 x} ?\) A) \(56 x^{4}\) B) \(28 x^{2}\) C) \(28 x\) D) \(7 x^{2}\)

Simplify. $$ -(-5)^{2}(2 j) $$

Evaluate the expression. Check the results by squaring the answer. (Lesson 9.1) $$ \pm \sqrt{169} $$

Completely factor the expression. $$ 5 x^{2}-51 x+54 $$

Simplify the expression. The simplified expression should have no negative exponents. (Lesson 8.4). $$ \frac{p^{6}}{p^{8}} $$

Solve the absolute-value inequality. (Lesson 6.7) $$|x+7|<12$$

Write in point-slope form the equation of the line that passes through the given point and has the given slope. $$ (-3,6), m=\frac{1}{2} $$

What is the solution of the equation \(\frac{10 r}{r+1}+\frac{1}{r+1}=2 ?\). F) 8 G) \(\frac{1}{8}\) H) 10 J) \(\frac{1}{2}\)

Simplify. $$ \frac{2 m}{3} \cdot 6 m^{2} $$

Simplify the radical expression. (Lesson 9.3) $$ \sqrt{18} $$

Completely factor the expression. $$ 36 x^{3}-9 x $$

Simplify the expression. The simplified expression should have no negative exponents. (Lesson 8.4). $$ x^{5} \cdot \frac{1}{x^{4}} $$

Solve the absolute-value inequality. (Lesson 6.7) $$|2 x-15| \leq 15$$

Write in point-slope form the equation of the line that passes through the given point and has the given slope. $$ (5,5), m=5 $$

What is the solution of the equation \(\frac{x}{6}-\frac{6}{x}=0 ?\) A) \(6,-6\) B) 6 C) 36 D) None of these

Simplify. $$ \frac{36}{45 a} \div \frac{-9 a}{5} $$

Simplify the radical expression. (Lesson 9.3) $$ \sqrt{20} $$

Completely factor the expression. $$ 15 x^{4}-50 x^{3}-40 x^{2} $$

Simplify the expression. The simplified expression should have no negative exponents. (Lesson 8.4). $$ \left(\frac{a^{8}}{a^{3}}\right)^{-1} $$

Solve the absolute-value inequality. (Lesson 6.7) $$|x+13| \geq 33$$

Write in point-slope form the equation of the line that passes through the given point and has the given slope. $$ (7,0), m=\frac{3}{7} $$

Solve the equation \(\frac{5}{x+1}+\frac{x}{x^{2}-1}=\frac{1}{x-1}\). F) 1 G) 0 H) \(\frac{5}{6}\) J) \(\frac{6}{5}\)

Simplify. $$ 18 c^{3} \div \frac{-27 c}{-4} $$

Simplify the radical expression. (Lesson 9.3) $$ \sqrt{80} $$

Completely factor the expression. $$ 6 x^{2}+16 x $$

Simplify the expression. The simplified expression should have no negative exponents. (Lesson 8.4). $$ \left(\frac{y^{5}}{y^{7}}\right)^{-2} $$

Solve the absolute-value inequality. (Lesson 6.7) $$|3 x-10|<4$$

Write in point-slope form the equation of the line that passes through the given point and has the given slope. $$ (14,-3), m=\frac{1}{3} $$

Evaluate the function when x 0, 1, 2, 3, and 4. \(f(x)=4 x\)

Simplify the radical expression. (Lesson 9.3) $$ \sqrt{162} $$

POPULATION The population \(P\) of Texas (in thousands), as projected through \(2025,\) is modeled by \(P=18,870(1.0124)^{t},\) where \(t=0\) represents \(1995 .\) Find the ratio of the population in 2025 to the population in 2000 .

Simplify the expression. The simplified expression should have no negative exponents. (Lesson 8.4). $$ \frac{m^{8} \cdot m^{10}}{m^{2}} $$

Solve the absolute-value inequality. (Lesson 6.7) $$|x+5|>17$$

Simplify the expression. $$ \frac{5}{10 x} $$

Evaluate the function when x 0, 1, 2, 3, and 4. \(f(x)=-x+9\)

Sketch the graph of the function. $$ y=x^{2} $$

Simplify the radical expression. (Lesson 9.3) $$ 9 \sqrt{36} $$

Subtract. Write the answer as a whole number, fraction, or mixed number in simplest form. $$ 2 \frac{7}{8}-\frac{7}{8} $$

Simplify the expression. The simplified expression should have no negative exponents. (Lesson 8.4). $$ \frac{\left(a^{3}\right)^{4}}{\left(a^{3}\right)^{8}} $$

Solve the absolute-value inequality. (Lesson 6.7) $$|5 x-1| \leq 0$$

Simplify the expression. $$ \frac{4 m^{2}}{6 m} $$

Evaluate the function when x 0, 1, 2, 3, and 4. \(f(x)=3 x+1\)

Sketch the graph of the function. \(y=4-x^{2}\)

Simplify the radical expression. (Lesson 9.3) $$ \sqrt{\frac{11}{9}} $$

Subtract. Write the answer as a whole number, fraction, or mixed number in simplest form. $$ \frac{16}{9}-1 \frac{1}{9} $$