Mastering Combining Like Terms in Algebra

The video tutorial introduces the concept of combining like terms in algebra, explaining that it involves adding and subtracting similar terms. The instructor discusses the importance of aligning terms correctly in arithmetic and algebra, using examples from basic math to algebraic expressions. The video emphasizes that only like terms, which have the same variables and exponents, can be combined. The tutorial also covers common mistakes students make and provides strategies for simplifying expressions.

Why do we use the term 'combining' instead of just 'adding and subtracting' in algebra?

• Because it sounds more professional.

• To simplify the language.

• To confuse students.

• Because the lines between addition and subtraction blur with positive and negative numbers.

Why do we line up numbers by their place values when adding or subtracting?

• To ensure we add or subtract the same kinds of things.

• Because it looks neat.

• Because our teacher told us to.

• To make the problem more challenging.

What is the principle that guides all addition and subtraction problems in math?

• We can only add and subtract the same kinds of things.

• We can add and subtract any numbers.

• We should always use a calculator.

• We must always line up the numbers.

In algebra, what do we call terms that have the same variable and the same exponent?

• Equivalent terms

• Like terms

• Identical terms

• Similar terms

Which of the following is a correct example of like terms?

• 3x and 3y

• 5a and 5b

• 7m and 7m

• 2p and 2q

What is the simplified form of 7y^2 - 6y^2?

• 1y^2

• 13y^2

• y^2

• 0

If you have 4m + 4, can you combine these terms?

• No, they are not like terms.

• Yes, but only if you add a variable to the constant.

• Yes, they are like terms.

• No, because one is a constant and the other is a variable term.

What should you do if you encounter terms that are not like?

• Combine them anyway.

• Leave them as they are.

• Change the variables to make them like.

• Ignore them.

What is the standard way to write terms in an algebraic expression?

• In alphabetical order.

• In order of increasing exponents.

• In order of decreasing exponents.

• In any random order.

What is the result of combining 6x - x?

• x

• 7x

• 5x

• 6x