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)

Open Ended

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

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