Solving One-Step Equations Graphically

This video tutorial introduces solving one-step equations graphically, a method useful even in calculus. It assumes prior knowledge of solving equations and references related videos for foundational skills. Two examples are provided: solving 2x = 6 and x - 2 = 3 using graphing. The tutorial explains how to visualize equations as relations and find solutions by identifying intersection points on a graph. The video concludes with a discussion on the method's applicability to more complex equations.

What is the main focus of this video?

• Solving equations using calculus

• Solving equations algebraically

• Solving one-step equations graphically

• Solving multi-step equations

Tags

CCSS.7.EE.B.4A

What does the term 'solve' mean in the context of equations?

• To find the derivative of the equation

• To find the value of the variable that makes the statement true

• To graph the equation

• To simplify the equation

Tags

CCSS.6.EE.B.7

In the equation 2x = 6, what is the value of x?

• 4

• 2

• 3

• 6

Tags

CCSS.8.EE.C.8B

How can you visualize the equation 2x = 6 graphically?

• As the intersection of two lines

• As a single line

• As a parabola

• As a circle

What is the graphical representation of the function y = 2x?

• A horizontal line

• A quadratic function

• A vertical line

• A linear function passing through the origin

What does the line y = 6 represent in the graph?

• A diagonal line

• A parabolic curve

• A horizontal line at y = 6

• A vertical line at x = 6

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Where do the lines y = 2x and y = 6 intersect?

• (4, 6)

• (3, 6)

• (5, 6)

• (2, 6)

Tags

CCSS.6.EE.B.7

In the second example, what is the equation being solved?

• x / 2 = 3

• 2x = 3

• x - 2 = 3

• x + 2 = 3

Tags

CCSS.6.EE.B.7

What is the value of x in the equation x - 2 = 3?

• 1

• 2

• 3

• 5

Tags

CCSS.8.EE.C.8B

What is the significance of the intersection point in solving equations graphically?

• It shows the maximum value of the function

• It indicates the value of the variable that makes the equation true

• It shows where the lines are parallel

• It indicates the slope of the line

Tags

CCSS.8.EE.C.8B