Solving Linear Equations and Verification

The video tutorial explains how to solve two-step equations by isolating the variable. It covers two examples: 3x + 4 = 16 and 5 - 2x = -13. The process involves using inverse operations to simplify and solve the equations, followed by verifying the solutions. The tutorial emphasizes understanding each step to ensure the solution satisfies the original equation.

What is the first step in solving the equation 3x + 4 = 16?

• Divide both sides by 3

• Multiply both sides by 3

• Subtract 4 from both sides

• Add 4 to both sides

After subtracting 4 from both sides of the equation 3x + 4 = 16, what is the resulting equation?

• 3x = 4

• 3x = 16

• 3x = 12

• 3x = 20

What operation is used to solve for x in the equation 3x = 12?

• Divide both sides by 3

• Multiply both sides by 3

• Add 3 to both sides

• Subtract 3 from both sides

What is the solution to the equation 3x + 4 = 16?

• x = 3

• x = 2

• x = 5

• x = 4

How do you verify the solution x = 4 for the equation 3x + 4 = 16?

• Substitute x = 4 into the equation and check if both sides are not equal

• Substitute x = 4 into the equation and check if both sides are equal

• Substitute x = 4 into the equation and check if the left side is greater

• Substitute x = 4 into the equation and check if the right side is greater

What is the first step in solving the equation 5 - 2x = -13?

• Divide both sides by 2

• Multiply both sides by 2

• Subtract 5 from both sides

• Add 5 to both sides

After subtracting 5 from both sides of the equation 5 - 2x = -13, what is the resulting equation?

• -2x = -18

• -2x = -13

• -2x = -8

• -2x = -5

What operation is used to solve for x in the equation -2x = -18?

• Divide both sides by -2

• Multiply both sides by -2

• Subtract 2 from both sides

• Add 2 to both sides

What is the solution to the equation 5 - 2x = -13?

• x = 7

• x = 8

• x = 9

• x = 10

How do you verify the solution x = 9 for the equation 5 - 2x = -13?

• Substitute x = 9 into the equation and check if both sides are equal

• Substitute x = 9 into the equation and check if the left side is greater

• Substitute x = 9 into the equation and check if the right side is greater

• Substitute x = 9 into the equation and check if both sides are not equal