Unit 8 Lesson

Multiple Choice

Which of the following actions will always keep an equation balanced?

• Adding the same number to both sides

• Multiplying only one side by a number

• Subtracting different numbers from each side

• Dividing one side by zero

Open Ended

Why is it important to keep both sides of an equation balanced when solving for an unknown value?

Open Ended

Give one equivalent expression for 10 and one for 2x.

Open Ended

What moves maintain equivalence in Diego's equations?

Multiple Choice

Which of the following best describes what happens at each step in the sequence: x = 8 → 2x = 16 → 2x + 4 = 20 → 2(x + 2) = 20?

• A new variable is introduced at each step.

• Each step applies an operation to both sides of the equation.

• The equation is solved for x in each step.

• The equation becomes more complex at each step.

Multiple Select

Which of the following are key terms related to equivalent equations?

• Move

• Variable

• Balanced

• Expression

Fill in the Blanks

Fill in the blank: An equation is

if both sides have equal value, like a scale that doesn't tip.

Open Ended

What makes a hanger balanced or unbalanced?

Word Cloud

These hangers are in balance. Look at what changed from the second hanger to the third. What was removed? What moves maintain balance?

Open Ended

If a triangle weighs 1 gram, how much does a square weigh? Explain or show your reasoning.

Open Ended

Why does removing the same shapes from both sides keep the hanger balanced?

Draw

Removing 1 square from each side keeps the hanger balanced. This is the same idea as subtracting from both sides of an equation. The moves that keep hangers balanced are exactly the moves that create equivalent equations. Fill in the blank: Removing 1 ___ from each side keeps the hanger balanced.

Draw

Write an equation for this hanger. Then solve using the same moves that keep a hanger balanced.

Open Ended

What move helps you find the unknown weight?

Draw

When you combine like terms in an equation, the result is to ___ one side.

Open Ended

Explain why each move in solving the equation 2x + 3 = 7 results in an equivalent equation. Use the visual reference chart to support your answer.

Multiple Choice

Which of the following moves keeps an equation balanced when solving for x in the equation 2x + 3 = 7?

• Add the same value to both sides

• Subtract the same value from both sides

• Multiply both sides by the same value

• Divide both sides by the same value

Multiple Choice

Which of the following is a reason why adding or removing equal amounts from both sides of an equation keeps it balanced?

• Because it maintains equality between both sides of the equation.

• Because it changes the value of the variable.

• Because it only affects one side of the equation.

• Because it makes the equation more complicated.

Open Ended

Reflect on today's lesson about writing equivalent equations and keeping equations balanced. What is one thing you learned that you found interesting or useful?