Solving Two-Step Equations

This video tutorial explains how to solve two-step equations by isolating the variable through addition, subtraction, multiplication, and division. It provides five examples, each demonstrating the step-by-step process of solving different equations and verifying the solutions.

What is the first step in solving a two-step equation?

• Divide both sides by a constant

• Square both sides of the equation

• Add or subtract a value to both sides

• Multiply both sides by a constant

In the equation 2b + 4 = 12, what operation is used to isolate the term 2b?

• Subtract 4 from both sides

• Add 4 to both sides

• Multiply both sides by 2

• Divide both sides by 2

After isolating 2b in the equation 2b + 4 = 12, what is the next step?

• Divide both sides by 2

• Add 2 to both sides

• Multiply both sides by 2

• Subtract 2 from both sides

In the equation 4 + 3r = 5, what is the first step to isolate 3r?

• Divide both sides by 3

• Subtract 4 from both sides

• Multiply both sides by 3

• Add 4 to both sides

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

• r = 5

• r = 1

• r = 3

• r = 1/3

In the equation 3 - 2m = 19, what operation is used to isolate -2m?

• Add 19 to both sides

• Subtract 19 from both sides

• Multiply both sides by 2

• Divide both sides by 2

What is the solution for m in the equation 3 - 2m = 19?

• m = -16

• m = -8

• m = 16

• m = 8

In the equation -y = 21, what operation is used to solve for y?

• Multiply both sides by -1

• Add 1 to both sides

• Divide both sides by 1

• Subtract 1 from both sides

What is the solution for y in the equation -y = 21?

• y = 21

• y = -21

• y = 0

• y = 1

In the equation 3 + (3/5)x = 12, what is the reciprocal of 3/5 used to solve for x?

• 5/3

• 1/5

• 3/5

• 1/3