Linear Equations in X

Create a linear equation that has x = 5 as a solution.

Does x = 4 make the equation 2x + 16 = 3x + 12 true?

Is 2 a solution to the linear equation -3x -10 = 2(x + 1) - 2? Show your work.

Create a linear equation that has -1 as a solution.

• Yes 

• No

Does x = 12 satisfy the equation

• Yes 

• No

Write a linear equation in slope-intercept form give the point and slope. (-6, -11); slope = 1/2

Write a line equation in standard form given the point and slope: (3, -8); slope = -3

Write an equation in slope-intercept form given the point and slope: (-4, -7); slope = 1

The aquarium is draining a large fish tank. The pump they are using can drain 24 gallons per hour. After 3 hours, there are 78 gallons left in the tank. Write an equation in slope-intercept form to model the water left in the tank, y, after x hours of draining. How many gallons were originally in the tank?