Digits, Grade 7, Volume 1, Homework Helper

### 8-3: TEKS Practice

• 1. The value of y is four more than x.

• a. Represent this relationship using a table.

• b. Represent this relationship using an equation.

• c. Draw the graph that represents this relationship.

• 2. Graph the linear equation y equals negative 2 x plus 3 .

• 3. Consider the equation y equals , 1 half , x minus 2. Describe the linear relationship between x and y.

• A. y is two less than two times x.

• B. y is two less than one half of x.

• C. x is two less than one half of y.

• D. y is two more than one half of x.

• 4. Estimation While exploring a planet, a robot descends at a rate of 213 feet every 2.7 hours from a hill peak 1,190 feet above sea level. Round to the nearest 10 feet and the nearest whole hour.

• a. Represent the relationship using a table. List the values that will complete the table.

• b. Represent the robot's elevation y after x hours using an equation.

• c. Draw the graph that represents the relationship.

• d. How long will it take the robot to reach the base of the hill?

• 5. Graph the linear equation y equals 4.5 x plus 2.5 .

• 6. Suppose each side of a pentagon has length x. Let y be the perimeter of the pentagon. Use the table to relate the independent variable x to the dependent variable y.

• a. Describe the relationship in words.

• b. Write an equation that represents the relationship.

• 7. Graph the linear equation y equals negative 6 x .

• 8. Ashley wants to figure out how much she spends each month on her car. Her monthly car payment is \$247.75, and she puts \$55 into a savings account each month for emergency repairs. The average cost of gas is \$3.11 per gallon.

• a. Write an expression that describes the total spent, y, in terms of the number of gallons of gas Ashley buys, x.

• b. Complete the table.

• c. Draw a graph that represents the relationship between the total Ashley spends and the number of gallons she purchases.

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