11.1 Use the Rectangular Coordinate System

Before you get started, take this readiness quiz.

Evaluate: $x + 3$ when $x = −1 .$
If you missed this problem, review the reference.

Evaluate: $2 x - 5 y$ when $x = 3 , y = −2 .$
If you missed this problem, review the reference.

Solve for $y : 40 - 4 y = 20 .$
If you missed this problem, review the reference.

Use the map in the figure.

1. ⓐ Find the grid section of the Residence Halls.
2. ⓑ What is located in grid section 4C?

Use the map in the figure.

1. ⓐ Find the grid section of Taylor Hall.
2. ⓑ What is located in section 3B?

Use the map in the figure.

1. ⓐ Find the grid section of the Parking Garage.
2. ⓑ What is located in section 2C?

Determine which ordered pairs are solutions to the given equation: $2 x + 3 y = 6$

1. ⓐ $\left(3 , 0\right)$
2. ⓑ $\left(2 , 0\right)$
3. ⓒ $\left(6 , −2\right)$

Determine which ordered pairs are solutions to the given equation: $4 x - y = 8$

1. ⓐ $\left(0 , 8\right)$
2. ⓑ $\left(2 , 0\right)$
3. ⓒ $\left(1 , −4\right)$

Determine which ordered pairs are solutions of the given equation: $y = 4 x - 3$

1. ⓐ $\left(0 , 3\right)$
2. ⓑ $\left(1 , 1\right)$
3. ⓒ $\left(1 , 0\right)$

Determine which ordered pairs are solutions of the given equation: $y = −2 x + 6$

1. ⓐ $\left(0 , 6\right)$
2. ⓑ $\left(1 , 4\right)$
3. ⓒ $\left(−2 , −2\right)$

Complete the table to find three solutions to the equation: $y = 3 x - 1 .$

Complete the table to find three solutions to the equation: $y = 6 x + 1$

Complete the table to find three solutions to the equation: $2 x - 5 y = 20 .$

Complete the table to find three solutions to the equation: $3 x - 4 y = 12 .$

Find a solution to the equation: $4 x + 3 y = 12 .$

Find a solution to the equation: $2 x + 4 y = 8 .$

Find three solutions to the equation: $2 x + 3 y = 6 .$

Find three solutions to the equation: $4 x + 2 y = 8 .$

Find three solutions to the equation: $4 x + y = 8 .$

Find three solutions to the equation: $x + 5 y = 10 .$

Determine which ordered pairs are solutions to the given equation.

$2 x + y = 6$

1. ⓐ $\left(1 , 4\right)$
2. ⓑ $\left(3 , 0\right)$
3. ⓒ $\left(2 , 3\right)$

Determine which ordered pairs are solutions to the given equation.

$4 x - 2 y = 8$

1. ⓐ $\left(3 , 2\right)$
2. ⓑ $\left(1 , 4\right)$
3. ⓒ $\left(0 , −4\right)$

Determine which ordered pairs are solutions to the given equation.

$y = 4 x + 3$

1. ⓐ $\left(4 , 3\right)$
2. ⓑ $\left(−1 , −1\right)$
3. ⓒ $\left(\frac{1}{2} , 5\right)$

Determine which ordered pairs are solutions to the given equation.

$y = \frac{1}{2} x - 1$

1. ⓐ $\left(2 , 0\right)$
2. ⓑ $\left(−6 , −4\right)$
3. ⓒ $\left(−4 , −1\right)$

Complete the table to find solutions to each linear equation.

$y = 2 x - 4$

Complete the table to find solutions to each linear equation.

$y = - x + 5$

Complete the table to find solutions to each linear equation.

$y = - \frac{3}{2} x - 2$

Have you ever used a map with a rectangular coordinate system? Describe the map and how you used it.