Chapter 9

Complete the statement using \(<,>,\) or \(=.\) (Skills Review pp. \(763,770,771\) ) $$\frac{13}{6} ? 1 \frac{1}{6}$$

Which expression gives the solutions of \(2 x^{2}-10=x ?\) $$A.)\frac {1 \pm \sqrt{1-(4)(2)(-10)}}{4}$$ $$B.)\frac{-1 \pm \sqrt{1-(4)(2)(10)}}{4}$$ $$C.)\frac{10 \pm \sqrt{100-(4)(2)(1)}}{4}$$ $$D.)\frac{10 \pm \sqrt{100-(4)(2)(-1)}}{4}$$

Solve the inequality. Then graph the solution. \((\text {Lesson } 6.1)\) $$ 2+x<4 $$

Use a calculator to evaluate the expression. Round the results to the nearest hundredth. $$ \frac{5 \pm 6 \sqrt{3}}{3} $$

Copy and complete the proof of the following statement: If \(\frac{x^{2}}{4}=9,\) then \(x=\pm 6\)

Complete the statement using \(<,>,\) or \(=.\) (Skills Review pp. \(763,770,771\) ) $$\frac{23}{10} ? 2 \frac{3}{10}$$

Solve the inequality. Then graph the solution. \((\text {Lesson } 6.1)\) $$ 6 \geq x+1 $$

Use a calculator to evaluate the expression. Round the results to the nearest hundredth. $$ \frac{3 \pm 4 \sqrt{5}}{4} $$

Write the radical expression in simplest form. $$ 3 \sqrt{63} \cdot \sqrt{4} $$

Complete the statement using \(<,>,\) or \(=.\) (Skills Review pp. \(763,770,771\) ) $$\frac{100}{9} ? 11 \frac{2}{9}$$

Which quadratic equation has the solutions \(x=\frac{-9 \pm \sqrt{81-56}}{4} ?\) $$A.)2 x^{2}+9 x-7=0$$ $$B.)2 x^{2}-9 x+7=0$$ $$C.)2 x^{2}-9 x+7=0$$ $$D.)2 x^{2}+9 x+7=0$$

Write the number in scientific notation. (Lesson 8.5) $$ 0.0000008 $$

Use a calculator to evaluate the expression. Round the results to the nearest hundredth. $$ \frac{7 \pm 3 \sqrt{12}}{-6} $$

Write the radical expression in simplest form. $$ -2 \sqrt{27} \cdot \sqrt{3} $$

Complete the statement using \(<,>,\) or \(=.\) (Skills Review pp. \(763,770,771\) ) $$1 \frac{7}{17} ? 1 \frac{22}{17}$$

Which equation would you use to model the height of an object that is thrown down with an initial velocity of 10 feet per second from a height of 100 feet? $$F.)h=-16 t^{2}+100$$ $$G.)h=-16 t^{2}+10 t+100$$ $$H.)h=-16 t^{2}-10 t+100$$ $$J.)h=-16 t^{2}-10 t-100$$

Write the number in scientific notation. (Lesson 8.5) $$ 564 $$

A chessboard has 8 small squares on a side and therefore has a total of 64 small squares. Could a similar square game board be constructed that has a total of 81 small squares?

Write the radical expression in simplest form. $$ \sqrt{9} \cdot 4 \sqrt{25} $$

Complete the statement using \(<,>,\) or \(=.\) (Skills Review pp. \(763,770,771\) ) $$\frac{9}{4} ? 2 \frac{3}{4}$$

Evaluate the expression for the given value of the variable. (Lesson 2.5) $$-3(x) \text { when } x=9$$

Write the number in scientific notation. (Lesson 8.5) $$ 8721 $$

A chessboard has 8 small squares on a side and therefore has a total of 64 small squares. If a square game board has a total of m small squares of equal size, what can you say about m?

Write the radical expression in simplest form. $$ \frac{1}{2} \sqrt{32} \cdot \sqrt{2} $$

Evaluate the expression for the given value of the variable. (Lesson 2.5) $$-5(-n)(-n) \text { when } n=2$$

Write the number in scientific notation. (Lesson 8.5) $$ 23,000 $$

Write the radical expression in simplest form. $$ -\sqrt{4} \cdot \frac{\sqrt{81}}{\sqrt{36}} $$

Evaluate the expression for the given value of the variable. (Lesson 2.5) $$4(-6)(m) \text { when } m=-2$$

Write the fraction in simplest form. (Skills Review p. 763) $$ \frac{6}{9} $$

Write the radical expression in simplest form. $$ -5 \sqrt{2} \cdot \sqrt{\frac{9}{50}} $$

Evaluate the expression for the given value of the variable. (Lesson 2.5) $$2(-1)(-x)^{3} \text { when } x=-3$$

Write the fraction in simplest form. (Skills Review p. 763) $$ \frac{4}{8} $$

MULTIPLE CHOICE Which is the simplest form of \(\sqrt{80} ?\) (A) \(2 \sqrt{5}\) (B) \(4 \sqrt{5}\) (C)\(2 \sqrt{20}\) (D) 20

Write the equation in slope-intercept form. Then graph the equation. (Lesson 4.7) $$-3 x+y+6=0$$

Write the fraction in simplest form. (Skills Review p. 763) $$ \frac{5}{15} $$

Evaluate \(3 \pm \sqrt{(-3)^{2}-4(0.5)(-8)}\)

MULTIPLE CHOICE Which is the simplest form of \(\frac{\sqrt{125}}{\sqrt{25}} ?\) (F} \(\sqrt{5}\) (G) \(2 \sqrt{5}\) (H) 5 (D) \(5 \sqrt{5}\)

Write the equation in slope-intercept form. Then graph the equation. (Lesson 4.7) $$-x+y-7=0$$

Write the fraction in simplest form. (Skills Review p. 763) $$ \frac{30}{48} $$

Evaluate \(\frac{15 \pm 5 \sqrt{225}}{3}\) a. -70 and 80 b. -20 and 30 c. 20 and 30 d. 70 and 80

MULTIPLE CHOICE Which of the following does not equal \(\sqrt{48} ?\) $$ \text { (A) } \sqrt{2} \cdot \sqrt{24} $$ $$ \text { (B)} 2 \sqrt{12} $$ $$ \text { (C) } 4 \sqrt{3} $$ $$ \text { (D) } 12 \sqrt{16} $$

Write the equation in slope-intercept form. Then graph the equation. (Lesson 4.7) $$4 x+2 y-12=0$$

Write the fraction in simplest form. (Skills Review p. 763) $$ \frac{20}{24} $$

Which is an example of a perfect square? a. -100 b. 10 c. 121 d. 150

MULTIPLE CHOICE Which step would you use to rationalize the denominator of \(\frac{\sqrt{3}}{\sqrt{10}} ?\) (F) Multiply by \(\frac{\sqrt{10}}{\sqrt{10}}\) (G) Multiply by \(\frac{\sqrt{10}}{\sqrt{3}}\) (H) Multiply by \(\sqrt{10}\) (J) Multiply by 10.

Solve the inequality. Then graph the solution. (Lesson 6.2) $$6 x \leq-2$$

Write the fraction in simplest form. (Skills Review p. 763) $$ \frac{50}{100} $$

Which two consecutive integers does \(\sqrt{200}\) fall between?? a. 10 and 11 b. 13 and 14 c. 14 and 15 d. 19 and 20

Use a table to graph the equation. $$ y=x+5 $$

Solve the inequality. Then graph the solution. (Lesson 6.2) $$-3 x \geq 15$$