Chapter 2

Write a question that can be represented by the equation. Then use mental math to solve the equation. $$\frac{y}{8}=4$$

Write the fraction as a decimal. Round to the nearest hundredth if necessary. $$\frac{1}{6}$$

Use the following information. A pizzeria charges \(\$ 6.00\) for a large cheese pizza, and \(\$ .85\) for each additional topping. The total cost \(C\) of a large cheese pizza with \(n\) additional toppings is given by \(C=6+0.85 n . Write an input-output table that shows the total cost of a pizza with \)0,1,2,3$ 4, and 5 additional toppings.

Write a question that can be represented by the equation. Then use mental math to solve the equation. $$2 x+1=7$$

Write the fraction as a decimal. Round to the nearest hundredth if necessary. $$\frac{2}{7}$$

Use the following information. A pizzeria charges \(\$ 6.00\) for a large cheese pizza, and \(\$ .85\) for each additional topping. The total cost \(C\) of a large cheese pizza with \(n\) additional toppings is given by $C=6+0.85 n . Describe the domain and range of the function.

Write a question that can be represented by the equation. Then use mental math to solve the equation. $$x^{2}=121$$

Write the fraction as a decimal. Round to the nearest hundredth if necessary. $$\frac{30}{40}$$

Graph the numbers on a number line. Then write two inequalities that compare the two numbers. 6 and \(-3\)

Write the fraction as a decimal. Round to the nearest hundredth if necessary. $$\frac{5}{11}$$

LEAVING A TIP In Exercises \(83-85\), use the following information. You and a friend decide to leave a \(15 \%\) tip for restaurant service. You compute the tip, \(T,\) as \(T=0.15 C,\) where \(C\) represents the cost of the meal. Your friend claims that an easier way to mentally compute the tip is to calculate \(10 \%\) of the cost of the meal plus one half of \(10 \%\) of the cost of the meal. Write an equation that represents your friend's method of computing the tip.

Decide whether the statement is true or false. Use the subtraction rule or a number line to support your answer. If you subtract a positive number from a negative number, the result is always a negative number.

In Exercises \(83-85,\) choose the statement that is true about the given numbers. (A) The number in column A is greater. (B) The number in column B is greater. (C) The two numbers are equal. (D) The relationship cannot be determined from the given information. Column A Column B $$ -\left|\frac{2}{3}\right|-\frac{2}{3} | $$

Graph the numbers on a number line. Then write two inequalities that compare the two numbers. \(-4\) and 9

Evaluate the expression for the given value of the variable. $$3 x^{2} \text { when } x=7$$

LEAVING A TIP In Exercises \(83-85\), use the following information. You and a friend decide to leave a \(15 \%\) tip for restaurant service. You compute the tip, \(T,\) as \(T=0.15 C,\) where \(C\) represents the cost of the meal. Your friend claims that an easier way to mentally compute the tip is to calculate \(10 \%\) of the cost of the meal plus one half of \(10 \%\) of the cost of the meal. Simplify the equation. What property did you use to simplify the equation?

Evaluate the expression. $$ 89-8 \cdot 5-27 $$

Graph the numbers on a number line. Then write two inequalities that compare the two numbers. $$-\frac{1}{2} \text { and } \frac{1}{3}$$

Evaluate the expression for the given value of the variable. $$4\left(b^{3}\right) \text { when } b=\frac{1}{2}$$

LEAVING A TIP In Exercises \(83-85\), use the following information. You and a friend decide to leave a \(15 \%\) tip for restaurant service. You compute the tip, \(T,\) as \(T=0.15 C,\) where \(C\) represents the cost of the meal. Your friend claims that an easier way to mentally compute the tip is to calculate \(10 \%\) of the cost of the meal plus one half of \(10 \%\) of the cost of the meal. Will both methods give the same results? Explain.

Evaluate the expression. $$ \frac{10}{3}-\frac{2}{3} \cdot 4+5 $$

In Exercises \(83-85,\) choose the statement that is true about the given numbers. (A) The number in column A is greater. (B) The number in column B is greater. (C) The two numbers are equal. (D) The relationship cannot be determined from the given information. Column A Column B $$ |x|+8 | x+8 $$

Graph the numbers on a number line. Then write two inequalities that compare the two numbers. $$-3.8 \text { and }-4.0$$

Evaluate the expression for the given value of the variable. $$2\left(y^{3}\right) \text { when } y=-5$$

Evaluate the expression. $$ 12 \cdot 9 \div 6-13.5 $$

Is the opposite of the absolute value of a number =ver the same as the absolute value of the opposite of the number? In other-words, is it ever true that \(-|x|=|-x| ?\) Explain.

Graph the numbers on a number line. Then write two inequalities that compare the two numbers. $$-2.8 \text { and } 0.5$$

Evaluate the expression for the given value of the variable. $$5 y^{3} \text { when } y=4$$

Evaluate the expression. $$ 17+100 \div 25-5 $$

Is it always, sometimes, or never true that \(|x|=|-x| ?\)

Graph the numbers on a number line. Then write two inequalities that compare the two numbers. $$-4.1 \text { and }-4.02$$

Evaluate the expression for the given value of the variable. $$(6 w)^{4} \text { when } w=2$$

Evaluate the expression. $$ 5 \cdot \frac{8}{9}-\frac{6}{9}+51 \div 3 $$

Find the sum. $$\frac{2}{4}+\frac{3}{8}$$

Find the terms of the expression. $$12-z$$

Evaluate the expression for the given value of the variable. $$12 d^{2} \text { when } d=9$$

Evaluate the expression. $$ 13+11 \cdot 7-6 \div 3 $$

Find the sum. $$\frac{2}{3}+\frac{1}{6}$$

Find the terms of the expression. $$-t+5$$

Evaluate the expression for the given value of the variable. $$5 x^{2} \text { when } x=0.3$$

Evaluate the expression. $$ 25-\left[\frac{3}{10}(6 \cdot 5)-2\right] $$

Find the sum. $$\frac{2}{5}+\frac{1}{4}$$

Find the terms of the expression. $$4 w-11$$

Evaluate the expression for the given value of the variable. $$32 x^{7} \text { when } x=-1$$

MULTI-STEP PROBLEM A customer of your flower shop wants to send flowers to 23 people. Each person will receive an \(\$ 11.99\) "sunshine basket" or a \(\$ 16.99\) "meadow bouquet." a. Let \(s\) represent the number of people who will receive a sunshine basket. Which function can you use to find \(C\), the total cost of sending flowers to all 23 people, depending on how many of each arrangement is sent? (A) \(C=16.99(23-s)+11.99 s\) (B) \(C=11.99 s+16.99(23)\) b. If 8 people receive a sunshine basket, what is the total cost of the flowers? c. If 13 people receive a meadow bouquet, what is the total cost of the flowers? d. CRITICAL THINKING If your customer can spend only \(\$ 300\), what is the greatest number of people that can receive a meadow bouquet?

Evaluate the expression. $$ (27 \div 9) \div(7-5) $$

Find the sum. $$\frac{5}{8}+\frac{1}{3}$$

Find the terms of the expression. $$31-15 n$$

Evaluate the expression for the given value of the variable. $$(7 t)^{3} \text { when } t=-\frac{3}{7}$$

LOGICAL REASONING You are tutoring a friend in algebra. After learning the distributive property, your friend attempts to apply this property to multiplication and gets \(2(x y)=2 x \cdot 2 y\) Write a convincing argument to show your friend that this is incorrect.