Understanding One-Step Equations

The video tutorial explains how to solve one-step equations by isolating the variable. It covers two examples: solving 4x = 56 by dividing both sides by 4, and solving 1/3x = 7 by multiplying both sides by the reciprocal of 1/3. Each solution is verified by substituting the value back into the original equation to ensure correctness.

What is the first step in solving the equation 4x = 56?

• Subtract 4 from both sides

• Add 4 to both sides

• Multiply both sides by 4

• Divide both sides by 4

What operation is used to isolate x in the equation 4x = 56?

• Division

• Multiplication

• Subtraction

• Addition

What is the solution to the equation 4x = 56?

• x = 16

• x = 12

• x = 18

• x = 14

How do you verify the solution to the equation 4x = 56?

• Substitute x = 18 back into the equation

• Substitute x = 16 back into the equation

• Substitute x = 12 back into the equation

• Substitute x = 14 back into the equation

What is the reciprocal of 1/3?

• 3

• 1/3

• 1/2

• 1

What operation is used to solve the equation (1/3)x = 7?

• Multiply both sides by 1/3

• Divide both sides by 3

• Multiply both sides by 3

• Add 3 to both sides

What is the solution to the equation (1/3)x = 7?

• x = 21

• x = 18

• x = 19

• x = 20

How do you verify the solution to the equation (1/3)x = 7?

• Substitute x = 18 back into the equation

• Substitute x = 21 back into the equation

• Substitute x = 19 back into the equation

• Substitute x = 20 back into the equation

What is the result of multiplying 3 by 7 in the context of solving (1/3)x = 7?

• 21

• 20

• 19

• 18

What is the common factor used to simplify 21/3?

• 4

• 3

• 2

• 1