Chapter 1

Match the problem with the formula needed to solve the problem. Then use the Guess, Check, and Revise strategy or another problem-solving strategy to solve the problem. Area of a rectangle \(\quad A=l w \quad\) Distance \(\quad d=r t\) Simple interest \(\quad I=P r t \quad\) Volume of a cube Temperature \(\quad C=\frac{5}{9}(F-32)\) Surface area of a cube \(S=6 s^{2}\) A piece of cheese cut in the shape of a cube has a volume of 27 cubic inches. What is the length of each edge of the piece of cheese?

Kudzu is a vine native to Japan. Kudzu can grow a foot per day during the summer months. Write an expression that shows how much a 20 -foot kudzu vine can grow during August.

Match the problem with the formula needed to solve the problem. Then use the Guess, Check, and Revise strategy or another problem-solving strategy to solve the problem. Area of a rectangle \(\quad A=l w \quad\) Distance \(\quad d=r t\) Simple interest \(\quad I=P r t \quad\) Volume of a cube Temperature \(\quad C=\frac{5}{9}(F-32)\) Surface area of a cube \(S=6 s^{2}\) You want to construct a patio of 80 square feet with a length of 10 feet. What is the width of the patio?

Evaluate the expression. \(4+3 x\) when \(x=2\)

Write the fraction as a decimal and as a percent. $$ \frac{5}{8} $$

Match the problem with the formula needed to solve the problem. Then use the Guess, Check, and Revise strategy or another problem-solving strategy to solve the problem. Area of a rectangle \(\quad A=l w \quad\) Distance \(\quad d=r t\) Simple interest \(\quad I=P r t \quad\) Volume of a cube Temperature \(\quad C=\frac{5}{9}(F-32)\) Surface area of a cube \(S=6 s^{2}\) A cubic storage box is made with 96 square feet of wood. What is the length of each edge?

Evaluate the expression. \(y \div 8\) when \(y=32\)

Write the fraction as a decimal and as a percent. $$ \frac{3}{4} $$

Evaluate the expression. \(5 \cdot 2 p^{2}\) when \(p=6\)

Write the fraction as a decimal and as a percent. $$ \frac{11}{20} $$

Evaluate the expression. \(t^{4}-t\) when \(t=7\)

Write the fraction as a decimal and as a percent. $$ \frac{4}{25} $$

You tune and restore pianos. As a piano tuner you charge \(\$ 75\) per tuning. The expenses for your piano restoration business are \(\$ 2600\) per month. Which of the following inequalities could you use to find the number of pianos \(p\) you must tune per month in order to at least meet your business expenses? (A) \(75 p \leq 2600\) (B) \(75 p \geq 2600\) (C) \(\frac{75}{p} \geq 2600\) (D) \(75 p=2600\)

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

The width of a soccer field cannot be greater than 100 yards. The area cannot be greater than \(13,000\) square yards. Which of the following would you use to find the possible lengths of a soccer field? (A) \(100 x \geq 13,000\) (B) \(100 x \leq 13,000\) (C) \(100+x \leq 13,000\) (D) \(100 x=130,000\)

Evaluate the expression for the given value of the variable. $$\text {y+2 when y=10}$$

For which inequality is \(x=238\) a solution? (A) \(250 \geq x+12\) (B) \(250x+12\)

Evaluate the expression for the given value of the variable. $$ \frac{a}{2} \text { when } a=8 $$

You plan to start your own greeting card business. Your startup cost of buying a computer and color printer is \(\$ 1400 .\) You also want to run an ad for \(\$ 50\) a week for 4 weeks. You plan to sell each card for \(\$ 1.79\). How many cards must you sell to equal or exceed your initial costs? Write an inequality that models the situation. Solve the inequality to find the minimum number of cards you must sell.

Evaluate the expression for the given value of the variable. $$\text {m-5 when m=17}$$

Evaluate the expression for the given value of the variable. $$ \frac{9}{b} \text { when } b=4 $$

Evaluate the expression for the given value of the variable. \(9 b\) when \(b=4\)

Evaluate the expression for the given value of the variable. $$\frac{1}{12}+x \text { when } x=\frac{1}{6}$$

Evaluate the expression for the given value of the variable. $$b-12 \text { when } b=43$$

Evaluate the expression for the given value of the variable. $$\frac{4}{5} \cdot y \text { when } y=\frac{1}{5}$$

FORM Write the expression in exponential form. three cubed

FORM Write the expression in exponential form. y squared

FORM Write the expression in exponential form. $$6 \cdot 6 \cdot 6 \cdot 6 \cdot 6$$

Write the expression in exponential form. $$c \cdot c \cdot c \cdot c$$

Write the expression in exponential form. five to the fourth power

Write the expression in exponential form. $$5 y \cdot 5 y \cdot 5 y \cdot 5 y$$

Write the expression in exponential form. three squared

Write the expression in exponential form. $$9 a \cdot 9 a \cdot 9 a \cdot 9 a \cdot 9 a \cdot 9 a$$

Write the expression in exponential form. seven squared

Write the expression in exponential form. one to the third power

Write the expression in exponential form. $$6 \cdot x \cdot x \cdot x \cdot x \cdot x \cdot x$$

Write the expression in exponential form. $$t+t+t+t+t+t$$

The temperature of the water in a swimming pool is \(78^{\circ}\) Fahrenheit. What is the temperature of the water in degrees Celsius? Use the formula \(C=\frac{5}{9}(F-32)\), where \(F\) is the Fahrenheit temperature and \(C\) is the Celsius temperature.