Solving Linear Equations Steps

This video tutorial covers solving equations with variables on both sides of the equal sign. It begins with an introduction to the concept, followed by step-by-step solutions to several example equations. The tutorial emphasizes the importance of moving all variables to one side and simplifying equations before solving. It concludes with practice problems and key takeaways to reinforce the learning objectives.

What is the first step in solving equations with variables on both sides?

• Add numbers to both sides

• Divide both sides by a variable

• Move all variables to one side

• Multiply both sides by a constant

In the equation 9x + 7 = 4 + 2x, what should you do first?

• Add 7 to both sides

• Divide both sides by 7

• Subtract 2x from both sides

• Multiply both sides by 9

After moving variables in 9x + 7 = 4 + 2x, what is the next step?

• Add 4 to both sides

• Divide both sides by 9

• Subtract 7 from both sides

• Multiply both sides by 2

What is the solution for x in the equation 9x + 7 = 4 + 2x?

• x = 1

• x = -3/7

• x = 7/3

• x = 3/7

In the equation 3x + 7 = 4 + 5x, what is the first step?

• Multiply both sides by 7

• Add 5x to both sides

• Divide both sides by 3

• Subtract 3x from both sides

After moving variables in 3x + 7 = 4 + 5x, what is the next step?

• Subtract 7 from both sides

• Divide both sides by 2

• Multiply both sides by 5

• Add 4 to both sides

What is the solution for x in the equation 3x + 7 = 4 + 5x?

• x = 3/2

• x = 5/3

• x = 2/3

• x = 1/2

In the equation 5x + 5 + 4x = 4 - 3x + 6, what should you do first?

• Simplify both sides

• Add 3x to both sides

• Subtract 4x from both sides

• Multiply both sides by 5

After simplifying 5x + 5 + 4x = 4 - 3x + 6, what is the next step?

• Add 3x to both sides

• Subtract 10 from both sides

• Divide both sides by 9

• Add 5 to both sides

What is the solution for x in the equation 5x + 5 + 4x = 4 - 3x + 6?

• x = 12/5

• x = 1/2

• x = 5/12

• x = 2/5