Combining Like Terms: Practice and Review

The video tutorial covers various mathematical concepts for seventh-grade students, focusing on combining like terms, identifying and correcting errors in expressions, and selecting equivalent expressions. It also explores solving inequalities in budgeting and real-world contexts, and calculating paint quantities for a specific mix. The tutorial provides step-by-step explanations and examples to enhance understanding.

Why does Elena believe that 9x - 2x + 4x is equivalent to 11x?

• Because subtraction only applies to 2x.

• Because subtraction applies to all terms.

• Because addition only applies to 4x.

• Because addition applies to all terms.

What is the correct equivalent expression for 9x - 2x + 4x?

• 11x

• 7x

• 3x

• 5x

What was the error in generating an expression equivalent to 4 + 2x - 1/2(10 - 4x)?

• They did not multiply correctly.

• They forgot to combine like terms.

• They did not distribute the negative sign correctly.

• They added 5 and 2x instead of subtracting.

What is the correct simplified form of 4 + 2x - 1/2(10 - 4x)?

• 2x - 5

• 2x + 5

• 4x - 1

• 4x + 1

Which of the following expressions is equivalent to 5x - 15 - 20x + 10?

• 5x - 15 - 20x + 10

• 5x - 15 + 20x - 10

• 5x + 15 - 20x - 10

• 5x - 15 - 20x - 10

What is the simplified form of 5x - 15 - 20x + 10?

• -15x - 5

• 15x + 5

• -15x + 5

• 15x - 5

If the school marching band has a budget of $750 and competition fees are $300, how much can they spend on each of the 15 uniforms?

• $35

• $30

• $25

• $20

What inequality represents the budget situation for the school marching band?

• 15x - 300 ≥ 750

• 15x + 300 ≤ 750

• 15x + 300 ≥ 750

• 15x - 300 ≤ 750

How much blue paint is needed to make 16.25 gallons of a certain shade of blue paint?

• 12.5 gallons

• 5 gallons

• 16.25 gallons

• 3.75 gallons

How much white paint is needed to make 16.25 gallons of a certain shade of blue paint?

• 16.25 gallons

• 5 gallons

• 3.75 gallons

• 12.5 gallons