Solving 2 Step Equations with Algebra Tiles

The video tutorial explains how to solve two-step equations using a balance model. It begins with solving the equation 2x + 3 = 11 by removing loose items and dividing the remaining items into groups. The tutorial then moves on to solving x/3 - 2 = 1 by adding positives to balance the equation and multiplying to find the value of x. The concept of inverse operations is emphasized throughout the tutorial.

What does the balance represent in the equation 2x + 3 = 11?

• Three boxes and two loose items

• Two boxes and eleven loose items

• Eleven boxes and three loose items

• Two boxes and three loose items

What is the first step to solve the equation 2x + 3 = 11?

• Multiply both sides by 2

• Subtract 3 from both sides

• Divide both sides by 2

• Add 3 to both sides

What does the term 'inverse operation' mean?

• A subtraction operation

• An additional operation

• The opposite operation

• The same operation

After subtracting 3 from both sides, what is the next step to solve 2x = 8?

• Divide both sides by 2

• Multiply both sides by 2

• Add 8 to both sides

• Subtract 8 from both sides

What is the value of x in the equation 2x = 8?

• 4

• 5

• 3

• 2

In the new equation x/3 - 2 = 1, what is the first step to isolate x?

• Multiply both sides by 3

• Subtract 2 from both sides

• Divide both sides by 3

• Add 2 to both sides

What happens when a positive is added to a negative in the context of the equation?

• It becomes positive

• It becomes negative

• It becomes zero

• It doubles

After adding 2 to both sides of the equation x/3 - 2 = 1, what is the resulting equation?

• x/3 = 1

• x/3 = 2

• x/3 = 4

• x/3 = 3

What is the final step to solve the equation x/3 = 3?

• Multiply both sides by 3

• Add 3 to both sides

• Divide both sides by 3

• Subtract 3 from both sides

What is the value of x in the equation x/3 = 3?

• 9

• 6

• 7

• 8