Understanding Linear Equations

The video tutorial explains how to determine if ordered pairs are solutions to a given linear equation. It demonstrates solving for missing values in ordered pairs by substituting known values into the equation and solving for the unknown. The tutorial also includes a graphical verification of the solutions by plotting them on a coordinate plane to ensure they lie on the line represented by the equation.

What is the first step in determining if an ordered pair is a solution to a linear equation?

• Graph the equation

• Substitute the values into the equation

• Solve for y

• Solve for x

In the equation -2x + 4y = 2, what is the result of substituting x = -3?

• -6 + 4y = 2

• 2x + 4y = 2

• -2x + 4y = 6

• 6 + 4y = 2

What operation is used to isolate the y-term in the equation 6 + 4y = 2?

• Divide both sides by 4

• Add 6 to both sides

• Subtract 6 from both sides

• Multiply both sides by 4

What is the value of y when the ordered pair is (-3, y) for the equation -2x + 4y = 2?

• -1

• 0

• 1

• 2

What is the first step in solving for the missing x-value in the ordered pair (x, 3/2)?

• Substitute y = 3/2 into the equation

• Solve for y

• Graph the equation

• Substitute x = 3/2 into the equation

What is the result of simplifying -2x + 4 * (3/2) = 2?

• -2x + 2 = 2

• -2x + 4 = 2

• -2x + 3 = 2

• -2x + 6 = 2

What is the value of x when the ordered pair is (x, 3/2) for the equation -2x + 4y = 2?

• 1

• 2

• 3

• 4

How can you verify that an ordered pair is a solution to a linear equation graphically?

• By checking if the point lies on the x-axis

• By checking if the point lies outside the graph

• By checking if the point lies on the y-axis

• By checking if the point lies on the line of the equation

Which ordered pair was verified graphically to be a solution to the equation -2x + 4y = 2?

• (-3, 1)

• (2, 3/2)

• (0, 0)

• (1, 2)

What does it mean if a point lies on the line of a graphed equation?

• The point is a solution

• The point is not a solution

• The point is an intercept

• The point is a vertex