Solving Two-Step Equations

This lesson covers modeling and solving two-step equations by combining one-step equations of addition, subtraction, multiplication, and division. The teacher explains the process of isolating the variable using inverse operations and provides examples to demonstrate the method. Students are encouraged to model equations and solve them, with a practice problem given at the end.

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

• Multiply both sides by the same number

• Add or subtract to isolate the variable

• Divide both sides by the same number

• Use substitution to check your work

What is the goal when solving two-step equations?

• To eliminate all numbers

• To simplify the equation

• To find the value of the variable

• To make both sides equal zero

In the equation 2x + 3 = 9, what is the first operation to perform?

• Add 3 to both sides

• Subtract 3 from both sides

• Multiply both sides by 2

• Divide both sides by 2

After subtracting 3 from both sides in the equation 2x + 3 = 9, what is the next step?

• Divide both sides by 2

• Add 3 to both sides

• Multiply both sides by 2

• Subtract 2 from both sides

In the equation 2x + 1 = 5, what is the first step to solve it?

• Add 1 to both sides

• Subtract 1 from both sides

• Multiply both sides by 2

• Divide both sides by 2

After subtracting 1 from both sides in the equation 2x + 1 = 5, what is the next step?

• Multiply both sides by 2

• Divide both sides by 2

• Add 1 to both sides

• Subtract 2 from both sides

In the equation 3x - 8 = 19, what operation should be performed first?

• Add 8 to both sides

• Subtract 8 from both sides

• Divide both sides by 3

• Multiply both sides by 3

After adding 8 to both sides in the equation 3x - 8 = 19, what is the next step?

• Add 8 to both sides again

• Divide both sides by 3

• Subtract 8 from both sides

• Multiply both sides by 3

What is the solution to the equation 6x - 2 = 10?

• x = 3

• x = 1

• x = 4

• x = 2