Solving Equations and Combining Like Terms

The teacher presents a math problem and intentionally makes mistakes for students to identify. The process involves distributing a negative number, combining like terms, and solving for X. Students are encouraged to find errors in the solution steps.

What is the main task the teacher wants the students to perform?

• Memorize the steps of solving equations.

• Rewrite the equation in a different form.

• Identify the mistakes made in solving the equation.

• Solve the equation correctly.

What is the result of distributing the negative two into the parentheses?

• 3x + 2x - 8

• 3x - 2x + 8

• 3x - 2x - 8

• 3x + 2x + 8

What mistake might occur when distributing a negative number?

• Multiplying only the first term.

• Dividing instead of multiplying.

• Adding instead of multiplying.

• Forgetting to change the sign of all terms inside the parentheses.

After distributing, what should be the next step?

• Combine like terms on the same side.

• Add 6 to both sides.

• Multiply both sides by 2.

• Subtract 4 from both sides.

What is the result of combining 3x and 2x?

• 6x

• 5x

• x

• 0

Why is it important to combine like terms?

• To change the equation's solution.

• To eliminate variables.

• To make the equation more complex.

• To simplify the equation.

What should be done after combining like terms?

• Subtract 8 from both sides.

• Subtract 6 from both sides.

• Add 8 to both sides.

• Add 6 to both sides.

What is the result of adding 6 to both sides?

• X - 6

• X - 10

• X + 6

• X + 10

What is the next step after adding 6 to both sides?

• Add 8 to both sides.

• Subtract 2x from both sides.

• Subtract 8 from both sides.

• Add 2x to both sides.

What is a common mistake when adding numbers to both sides?

• Forgetting to add the same number to both sides.

• Multiplying instead of adding.

• Adding different numbers to each side.

• Subtracting instead of adding.