Solving Equations with Variables on Both Sides Using DESMOS

This video tutorial guides students on solving linear equations with variables on both sides using the online graphing calculator tool, Decimals. It covers the importance of using Decimals for the STAR exam, demonstrates manual solving techniques, and explains how to graph equations and find intersections using Decimals. The tutorial concludes with encouragement to practice these skills.

What is the primary tool discussed for solving linear equations?

• Desmos graphing calculator

• A physical calculator

• Google Sheets

• Microsoft Excel

Which exam allows the use of the Desmos graphing calculator?

• SAT

• ACT

• Texas STAR

• GRE

What is the first step in solving linear equations by hand?

• Draw a line through the equal sign

• Box the variables

• Move the smallest box first

• Circle the constants

What should you do to keep your equation balanced?

• Perform the same operation on both sides

• Multiply both sides by the same number

• Subtract the same number from both sides

• Add the same number to both sides

In Desmos, what must you add to the beginning of an equation to graph it?

• w =

• x =

• y =

• z =

What does the gray dot on the Desmos graph represent?

• The origin

• The x-intercept

• The y-intercept

• The intersection point

What is the solution to a linear equation in Desmos?

• The y-intercept

• The y-value at the intersection

• The x-value at the intersection

• The slope of the line

What is the x-value where the lines y = 13 - 4x and y = 1 - x intersect?

• 3

• 6

• 5

• 4

What is the x-value where the lines y = -7x - 3x + 10 and y = -8x - 8 intersect?

• 4

• 5

• 6

• 7

What is the x-value where the lines y = -14 + 6b + 7 - 2b and y = 1 + 5b intersect?

• -6

• -9

• -7

• -8