Combining Like Terms in Algebra

The video tutorial explains how to combine like terms in algebraic expressions. It starts by identifying like terms, which have the same variable and exponent, and demonstrates combining them by adding or subtracting their coefficients. The tutorial also covers terms with exponents, emphasizing that terms must have the same variable and exponent to be combined. Examples are provided to illustrate these concepts.

What is the first step in combining like terms?

• Add the coefficients directly.

• Identify terms with the same variable.

• Multiply the terms together.

• Subtract the smaller term from the larger one.

If you have 3x and 5x, what is the result of combining these terms?

• 0x

• 8x

• 15x

• 2x

What is the result of combining 2C and -12C?

• -14C

• 10C

• -10C

• 14C

Which of the following pairs are like terms?

• 4a and 4b

• 3x and 3y

• 5m and 5m

• 6p and 6q

Which of the following is NOT a pair of like terms?

• 2x and 3x

• 4y and 5y

• 8b and 9b

• 6z and 7a

Why can't 2c and 3c^2 be combined?

• They have different variables.

• They have different coefficients.

• They have different exponents.

• They are already combined.

What happens when you combine terms with different exponents?

• They are multiplied.

• They remain separate.

• They are added together.

• They cancel each other out.

What is the result of combining -6C^2 and 12C^2?

• 18C^2

• 6C^2

• -18C^2

• -6C^2

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

• 4a + 4a = 8a

• 6c + 6d = 12cd

• 2x + 3y = 5xy

• 5b - 2b = 3b^2

If you have -3x and 7x, what is the result of combining these terms?

• -10x

• -4x

• 10x

• 4x