Simplifying Equations and Common Mistakes

The video tutorial covers a math activity where students solve an equation using different methods. Claire and Lin both arrive at the correct solution of x = -8, but through different approaches: Claire factors out a common multiple, while Lin uses the distributive property. The video also highlights mistakes made by Mae and Noah, emphasizing the importance of correctly applying mathematical operations and maintaining balance in equations.

What was the solution both Claire and Lin found for x?

• x = 93

• x = 8

• x = -8

• x = 0

What was Claire's first step in solving the equation?

• Using the distributive property

• Factoring out a common term

• Adding a constant to both sides

• Multiplying both sides by 2

How did Claire simplify the equation?

• By subtracting terms

• By dividing terms into groups

• By multiplying terms

• By adding terms

What method did Lin use to simplify the equation?

• Multiplying both sides by 2

• Adding a constant to both sides

• Using the distributive property

• Factoring out a common term

What is the key difference between Claire's and Lin's methods?

• Claire used the distributive property, Lin used factoring

• Claire used factoring, Lin used the distributive property

• Claire used multiplication, Lin used division

• Claire used addition, Lin used subtraction

What was the common first step taken by both Claire and Lin?

• Combining like terms

• Using the distributive property

• Adding a constant to both sides

• Factoring out a common term

What mistake did Mae make in her approach?

• She did not combine like terms

• She incorrectly distributed terms

• She added instead of subtracting

• She factored incorrectly

What was Noah's error in solving the equation?

• He did not use the distributive property

• He added a positive term instead of a negative

• He factored incorrectly

• He multiplied instead of dividing

What should Mae have done to correctly simplify the equation?

• Add a constant to both sides

• Use the distributive property correctly

• Factor out a common term

• Multiply both sides by 2

What is the correct approach to avoid Noah's mistake?

• Ensure the same operation is applied to both sides

• Add a constant to both sides

• Use the distributive property

• Factor out a common term