Chapter 11

Simplify the radical expression. $$9 \sqrt{36}$$

Solve the equation. $$\frac{c}{4}=\frac{6}{8}$$

Simplify the fraction. $$\frac{-3 x y^{3}}{3 x^{3} y}$$

Make a scatter plot of the data. Then tell whether a linear, exponential, or quadratic model fits the data. (Review 9.81) $$(-5,6),(-4,3),(-2,-3),(-1,-6),(0,-9),(1,-12)$$

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

Simplify the radical expression. $$\sqrt{\frac{11}{9}}$$

Solve the equation. $$\frac{y}{-2}=\frac{5}{4}$$

Simplify the fraction. $$\frac{56 x^{2} y^{5}}{64 x^{2} y}$$

A contestant on a television game show must guess the price of a trip within 1000 dollars of the actual price in order to win. The actual price of the trip is 8500 dollars .Write an absolute-value inequality that shows the range of possible guesses that will win the trip. (Review 6.4 )

You will look for a pattern. What happens to the values of \(\frac{x^{2}+6}{x+2},(x-2),\) and \(\frac{10}{x+2}\) as \(x\) increases?

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

Simplify the radical expression. $$\frac{1}{2} \sqrt{28}$$

Solve the proportion. Check for extraneous solutions. $$\frac{7}{5}=\frac{2}{x}$$

Identify the leading coefficient, and classify the polynomial by degree and by number of terms. $$-5 x-4$$

Completely factor the expression. $$4 x^{2}-28 x+49$$

Simplify the radical expression. $$4 \sqrt{\frac{5}{4}}$$

Solve the proportion. Check for extraneous solutions. $$\frac{2}{x}=\frac{x-1}{6}$$

Identify the leading coefficient, and classify the polynomial by degree and by number of terms. $$8 x^{4}+625$$

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

Solve the proportion. Check for extraneous solutions. $$\frac{6 x-7}{4}=\frac{5}{x}$$

Identify the leading coefficient, and classify the polynomial by degree and by number of terms. $$x-x^{3}$$

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

Completely factor the expression. $$36 x^{5}-90 x^{3}$$

Solve the proportion. Check for extraneous solutions. $$\frac{8 b^{2}+4 b}{4 b}=\frac{2 b-5}{3}$$

Identify the leading coefficient, and classify the polynomial by degree and by number of terms. $$16-4 x+3 x^{2}$$

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

Completely factor the expression. $$3 x^{3}+21 x^{2}+30 x$$

Solve the proportion. Check for extraneous solutions. $$\frac{5 p^{2}-9}{5}=\frac{2 p^{2}+3 p}{2}$$

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

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

Solve the proportion. Check for extraneous solutions. $$\frac{a^{2}-4}{a-2}=\frac{a+2}{10}$$

Evaluate the function for \(x=0,1,2,3,\) and 4. $$f(x)=-x^{2}$$

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

Use the model \(y=\frac{12}{x} .\) Make a table of values for \(x=1,2,3,4,\) and \(5 .\) Sketch the graph.

Evaluate the function for \(x=0,1,2,3,\) and 4. $$f(x)=x^{2}-1$$

The population \(P\) of Texas (in thousands) for 1995 projected through 2025 can be 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 . (Review 8.3) P Source: U.S. Bureau of the Census.

The largest mammal, a blue whale, has a weight of \(1.3 \times 10^{5}\) kilograms. The smallest mammal, a pygmy shrew, has a weight of \(2.0 \times 10^{-3}\) kilogram. What is the ratio of the weight of a blue whale to the weight of a pygmy shrew?

Evaluate the function for \(x=0,1,2,3,\) and 4. $$f(x)=\frac{x^{2}}{2}$$

Evaluate the expression. $$2^{4} \cdot 2^{3}$$

Evaluate the expression. $$6^{3} \cdot 6^{-1}$$

Evaluate the expression. $$\left(3^{3}\right)^{2}$$

Evaluate the expression. $$\left(-4^{-2}\right)^{-1}$$

Simplify the radical expression. $$\sqrt{50}$$

Simplify the radical expression. $$\sqrt{72}$$

Simplify the radical expression. $$\frac{1}{4} \sqrt{112}$$

Simplify the radical expression. $$\frac{1}{2} \sqrt{52}$$

Simplify the radical expression. $$\frac{1}{4} \sqrt{64}$$

Simplify the radical expression. $$\sqrt{256}$$

Simplify the radical expression. $$\frac{1}{5} \sqrt{625}$$

Simplify the radical expression. $$ \sqrt{396}$$