Lesson 12 Solutions to Linear Equations

Lesson 12 Solutions to Linear Equations

Multiple Select

Select all of the ordered pairs (x,y) that are solutions to the linear equation 2x+3y=6.

• (0,2)

• (0,6)

• (2,3)

• (3,0)

• (6,-2)

Fill in the Blank

List the y-intercept as a point or ordered pair.

Leave no spaces between the comma ex. (0,300)

Fill in the Blank

List the x-intercept as a point or ordered pair.

Leave no spaces between the comma ex. (0,300)

Fill in the Blank

Find the slope of the line. List as an integer.

Open Ended

Interpret the slope of the line. What does it mean in terms of the comics and price Priya pays for comics.

Fill in the Blank

Write the equation of the line in slope-intercept form.

Use lower case letters and no spaces between = and + symbols.

Multiple Choice

Match the equation with three of its solutions.

y=1.5x

• (14,21), (2,3), (8,12)

• (-3,7), (0,-4), (-1,-5)

•  $\left(\frac{1}{8},\frac{7}{8}\right),\ \left(\frac{1}{2},\ \frac{1}{2}\right),\ \left(\frac{1}{4},\frac{3}{4}\right)$  

• (0.5,3), (1,6), (1.2,7.2)

Multiple Choice

Match the equation with three of its solutions.

x-y=4

• (14,21), (2,3), (8,12)

• (-3,7), (0,-4), (-1,-5)

•  $\left(\frac{1}{8},\frac{7}{8}\right),\ \left(\frac{1}{2},\ \frac{1}{2}\right),\ \left(\frac{1}{4},\frac{3}{4}\right)$  

• (0.5,3), (1,6), (1.2,7.2)

Multiple Choice

Match the equation with three of its solutions.

y=-x+1

• (14,21), (2,3), (8,12)

• (-3,7), (0,-4), (-1,-5)

•  $\left(\frac{1}{8},\frac{7}{8}\right),\ \left(\frac{1}{2},\ \frac{1}{2}\right),\ \left(\frac{1}{4},\frac{3}{4}\right)$  

• (0.5,3), (1,6), (1.2,7.2)

Multiple Choice

A container of fuel dispenses fuel at the rate of 5 gallons per second. If y represents the amount of fuel remaining in the container, and x represents the number of seconds that have passed since the fuel started dispensing, then x and y satisfy a linear relationship.

In the coordinate plane, will the slope of the line representing that relationship have a positive, negative, or zero slope?

• Positive

• Negative

• Zero

Fill in the Blank

A sandwich store charges a delivery fee to bring lunch to an office building. One office pays $33 for 4 turkey sandwiches. Another office pays $61 for 8 turkey sandwiches. How much does each turkey sandwich add to the cost of the delivery? Explain how you know.

Enter the number only.