Solving Two-Step Equations: Key Concepts and Techniques

In this tutorial, Mr. B explains how to solve two-step equations through four examples. He demonstrates the process of undoing addition and subtraction first, followed by multiplication and division, to isolate the variable. The tutorial covers the commutative property of addition and provides tips for balancing equations. Each example builds on the previous one, reinforcing the concepts and techniques needed to solve two-step equations effectively.

What is the first step in solving the equation 3x - 4 = 2?

• Add 4 to both sides

• Subtract 4 from both sides

• Multiply both sides by 3

• Divide both sides by 3

After adding 4 to both sides in the equation 3x - 4 = 2, what does the equation simplify to?

• 3x = 2

• x = 6

• 3x = 6

• x = 2

What is the final solution to the equation 3x - 4 = 2?

• x = 6

• x = 2

• x = 4

• x = 3

In the equation 4x + 3 = 15, what is the first operation you should reverse?

• Divide by 4

• Multiply by 4

• Subtract 3

• Add 3

What is the value of x in the equation 4x + 3 = 15?

• x = 12

• x = 3

• x = 15

• x = 4

In the equation y/4 - 4 = 3, what should you do first to start solving it?

• Subtract 4

• Multiply by 4

• Divide by 4

• Add 4

What is the value of y in the equation y/4 - 4 = 3?

• y = 28

• y = 3

• y = 4

• y = 7

In the equation 5 + B/3 = -2, what is the first step to solve for B?

• Add 5

• Subtract 5

• Multiply by 3

• Divide by 3

After rearranging and simplifying the equation 5 + B/3 = -2, what does B equal?

• B = -7

• B = -21

• B = 7

• B = 21

What property is used to rearrange the terms in the equation 5 + B/3 = -2?

• Identity property

• Associative property

• Commutative property

• Distributive property