### 8-3: TEKS Practice

• 1.

• a. Graph each equation.

x + 4y = 8

3x + 4y = 0

• b. Determine the solution of the system of equations.

• 2.

• a. Graph each equation.

y = 3x − 4

y = −3x + 5

• b. Estimate the solution of the system of equations.

• A. (1.5, 0.5)

• B. (−1.5, −0.5)

• C. (0.5, 1.5)

• D. (−1.5, 0.5)

• 3. Renting a canoe to use on River Y costs \$33. Renting a canoe to use on River Z costs \$5 per hour plus a \$13 deposit. The total cost, c, of renting a canoe, for n hours can be represented by a system of equations.

• a. Which system of equations could be used to find out how many hours the canoe can be rented?

• A. River Y c = 33

River Z c = 5n + 13

• B. River Y c = 5n − 33

River Z c = 13

• C. River Y c = 33

River Z c = 5n − 13

• D. River Y c = 5n + 13

River Z c = 13

• b. Graph the system of equations.

• c. For how many hours could you rent the canoe at the same cost on both rivers?

• 4. The cost of endless chicken wings at Restaurant X is \$10. The cost of chicken wings at Restaurant Z is 60¢ per wing plus a \$1 charge for sauce. The total cost, c, of n chicken wings can be represented by a system of equations.

• a. Write the system of equations.

• b. Graph the system of equations.

• c. How many chicken wings do you have to order for the cost to be the same at both restaurants?

• 5.

• a. Writing Graph each equation.

x = y

2x = y − 3

• b. Determine the solution of the system of equations.

• c. Explain how to find the equation of a line that intersects the system of equations at the same point.

• 6. Reasoning The cost of making copies at Store W is \$5 regardless of the number of copies. The cost of making copies at Store Z is 20¢ per copy plus a \$2 charge for the use of the machine. The total cost, c, of making n copies can be represented by a system of equations.

• a. Write a system of equations that could be used to find out the cost of making copies.

• b. Draw a graph that shows the system of equations.

• c. How many copies do you have to make for the cost to be the same at both stores?

• d. If you have to make a smaller number of copies which store should you go to? If you have to make a large number of copies which store should you go to? Explain.

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