Chapter 1

Complete the sentence. A function is a relationship between two quantities, called the ____ and the ____ .

Explain what data are. Give an example.

In Exercises 1 and \(2,\) complete the sentence. Writing expressions, equations, or inequalities to represent real-life situations is called _____.

Complete the sentence. In the expression \(3^{7},\) the 3 is the ______.

Place the operations in the order in which you should do them. a. Multiply and divide from left to right. b. Do operations within grouping symbols. c. Add and subtract from left to right. d. Evaluate powers.

Explain if the following is an expression, an equation, or an inequality. $$ 3 x+1=14 $$

What operation does decreased by indicate?

Identify the variable or variables. $$ y+15 $$

Complete the sentence. The collection of all input values is the ____ of the function.

Name two ways to display organized data.

Complete the sentence. In the expression \(5^{4},\) the 4 is the ______.

What rule must be applied when evaluating an expression in which the operations have the same priority?

Explain if the following is an expression, an equation, or an inequality. $$ 7 y-6 $$

Identify the variable or variables. $$ 20-s $$

Complete the sentence. The collection of all output values is the ____ of the function.

Complete the sentence. The expression \(9^{12}\) is called a ____

Evaluate the expression. $$5 \cdot 6 \cdot 2$$

Match the phrase with its variable expression. Let \(x\) represent the number. A number increased by 11 A. \(x-11\) B \(\cdot x+11\) C. \(\frac{x}{11}\) D. \(11 x\)

Explain if the following is an expression, an equation, or an inequality. $$ 5\left(y^{2}+4\right)-7 $$

Identify the variable or variables. $$ \frac{b}{10} $$

You are going camping. The cost for renting a cabin at Shady Knoll Campground is \(\$ 65.00\) plus \(\$ 12.00\) per person. The cost in dollars is \(C=65+12 n,\) where \(n\) is the number of people. Copy and complete the input-output table. $$ \begin{array}{|ll|l|l|l|l|l|} \hline \text { Input } N & 1 & 2 & 3 & 4 & 5 & 6 \\ \hline \text { Output } C & ? & ? & ? & ? & ? & ? \\ \hline \end{array} $$

Complete the sentence. Two kinds of grouping symbols are ______ and ______.

Evaluate the expression. $$ 16 \div 4-2 $$

Match the phrase with its variable expression. Let x represent the number. The product of 11 and a number A. \(x-11\) B \(\cdot x+11\) C. \(\frac{x}{11}\) D. \(11 x\)

Identify the variable or variables. $$ r t $$

Explain if the following is an expression, an equation, or an inequality. $$ 5 x-1=3+x $$

You are going camping. The cost for renting a cabin at Shady Knoll Campground is \(\$ 65.00\) plus \(\$ 12.00\) per person. The cost in dollars is \(C=65+12 n,\) where \(n\) is the number of people. Draw a graph that is made up of isolated points representing the cost of renting a cabin.

You are one mile from your home. You can walk at a speed of 4 miles per hour. The subway comes by every 15 minutes, and you heard one come by 3 minutes ago. The subway ride takes 8 minutes. How many minutes will it take to get home by subway if you take the next train?

Match the power with the words that describe it. $$ 3^{7} $$ A. four to the sixth power B. three to the seventh power C. seven to the third power D. six to the fourth power

Evaluate the expression. $$ 4+9-1 $$

Match the phrase with its variable expression. Let x represent the number. The difference of a number and 11 A. \(x-11\) B \(\cdot x+11\) C. \(\frac{x}{11}\) D. \(11 x\)

Explain if the following is an expression, an equation, or an inequality. $$ 3 x+2 \leq 8 $$

Complete: You _______an expression by substituting numbers for variables and simplifying. The resulting number is called the______ of the expression.

You are one mile from your home. You can walk at a speed of 4 miles per hour. The subway comes by every 15 minutes, and you heard one come by 3 minutes ago. The subway ride takes 8 minutes. Write a verbal model that relates the time it would take to walk home, your walking speed, and the distance to your home.

GOLF In Exercises 6 and 7, use the table showing scores for two rounds of golf. $$ \begin{array}{|c|c|c|c|c|} \hline & {\text { Player } 1} & {\text { Player 2}} & {\text { Player 3 }} & {\text { Player 4 }} \\ \hline \text { Round 1} & {90} & {88} & {79} & {78} \\ \hline \text { Round 2} & {94} & {84} & {83} & {80} \\ \hline \end{array} $$ Make a table showing the average score of each player. HINT: Find each average by adding the two scores and dividing by the number of rounds.

Match the power with the words that describe it. $$ 7^{3} $$ A. four to the sixth power B. three to the seventh power C. seven to the third power D. six to the fourth power

Evaluate the expression. $$ 2 \cdot 8^{2} $$

State the meaning of the variable expression and name the operation. $$ \frac{5}{c} $$

Match the phrase with its variable expression. Let x represent the number. The quotient of a number and 11 A. \(x-11\) B \(\cdot x+11\) C. \(\frac{x}{11}\) D. \(11 x\)

Explain if the following is an expression, an equation, or an inequality. $$ 5 x>20 $$

Make an input-output table for the function. Use 0, 1, 2, 3, 4, and 5 as values for x. $$ y=6 x+5 $$

You are one mile from your home. You can walk at a speed of 4 miles per hour. The subway comes by every 15 minutes, and you heard one come by 3 minutes ago. The subway ride takes 8 minutes. Assign labels to your verbal. Use \(t\) to represent the unknown value.

GOLF In Exercises 6 and 7, use the table showing scores for two rounds of golf. $$ \begin{array}{|c|c|c|c|c|} \hline & {\text { Player } 1} & {\text { Player 2}} & {\text { Player 3 }} & {\text { Player 4 }} \\ \hline \text { Round 1} & {90} & {88} & {79} & {78} \\ \hline \text { Round 2} & {94} & {84} & {83} & {80} \\ \hline \end{array} $$ Which player has the lowest average? Which one has the highest average?

Match the power with the words that describe it. $$ 4^{6} $$ A. four to the sixth power B. three to the seventh power C. seven to the third power D. six to the fourth power

Evaluate the expression. $$ 15+6 \div 3 $$

Complete: An \(x\) value of 4 is a _____ of the equation \(x+1=5,\) because \(4+1=5\).

Write the sentence as an equation or an inequality. A number x increased by 10 is 24.

State the meaning of the variable expression and name the operation. $$ p-4 $$

Make an input-output table for the function. Use 0, 1, 2, 3, 4, and 5 as values for x. $$ y=26-2 x $$

SCHOOL ENROLLMENT The table shows the number of students (in millions) enrolled in school in the United States by age. Make a table showing the total number of students enrolled for each given year. $$ \begin{array}{|c|c|c|c|c|c|} \hline \text { Age } & {1980} & {1985} & {1990} & {1995} & {2000} \\ \hline 14-15 \text { years old } & {7282} & {7362} & {6555} & {7651} & {8100} \\\ \hline 16-17 \text { years old } & {7129} & {6654} & {6098} & {6997} & {7600} \\\ \hline 18-19 \text { years old } & {3788} & {3716} & {4044} & {4274} & {4800} \\\ \hline \end{array} $$