Combining Like Terms and Simplifying Expressions

The video tutorial explains how to simplify algebraic expressions by combining like terms. It defines like terms as those with the same variable factors and demonstrates the process using the distributive property. Several examples are provided, showing how to combine terms with variables x, y, z, m, and n, as well as constant terms. The tutorial emphasizes adding or subtracting coefficients while keeping the variable part unchanged.

What are like terms?

• Terms with different coefficients

• Terms with no variables

• Terms with the same variable factors

• Terms with different variable factors

How do you combine like terms in the expression 5x + 3x?

• Multiply the coefficients

• Add the coefficients

• Subtract the coefficients

• Divide the coefficients

What is the simplified form of -4x + 5x + 9x?

• 0x

• 5x

• 10x

• 8x

In the expression 9y - 15 + 8y - 6, what are the like terms?

• 9y and 8y

• -15 and 8y

• 9y and -15

• 8y and -6

What is the result of combining 9y and 8y?

• 0y

• 8y

• 1y

• 17y

What is the simplified form of -3z - 8z?

• 11z

• 5z

• -5z

• -11z

How do you combine -6 and 7 in the expression -3z - 6 + 7?

• Divide them

• Add them

• Subtract them

• Multiply them

What is the simplified form of 4m + 5m?

• 5m

• 1m

• 9m

• 0m

In the expression 2n - 7n, what is the result of combining the terms?

• 5n

• 7n

• -5n

• 0n

What is the final simplified form of the expression 4m + 2n + 5m - 7n + 8 - 3?

• 9m - 5n + 5

• 9m + 5n - 5

• 5m - 9n + 5

• 5m + 9n - 5