Combining Like Terms and the Distributive Property

Mrs. Stoner reviews combining like terms and the distributive property in algebra. She explains how to distribute numbers across terms in expressions and how to combine like terms by identifying terms with the same variables and exponents. The video includes examples of simplifying expressions, handling negative signs, and emphasizes the importance of following the order of operations (PEMDAS) in algebraic expressions.

What is the result of distributing 3 in the expression 3(x + 4)?

• 3x + 4

• 3x + 12

• 3 + 4x

• 3 + 12x

After distributing 3 in the expression 3(x + 4) + 10x - 2, what is the next step?

• Multiply 10x and 2

• Add 3x and 4

• Subtract 2 from 12

• Combine 3x and 10x

What is the simplified form of 3x + 10x?

• 30x

• 13x

• 7x

• 3x + 10x

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

• 12

• 10

• 14

• 0

What is the simplified form of the expression 3a + 2(5 - a)?

• 3a + 10a - 2

• a + 10

• 3a + 10 - 2a

• 3a - 2a + 5

In the expression 3a + 2(5 - a), what is the result of distributing 2?

• 10 + 2a

• 2a - 10

• 10 - 2a

• 2a + 10

What is the simplified form of 5x - (x + 3)?

• 5x - x + 3

• 4x - 3

• 5x - 3

• 4x + 3

What is the result of distributing -1 in the expression 5x - (x + 3)?

• x + 3

• -x - 3

• x - 3

• -x + 3

What is the simplified form of 5x - x?

• 6x

• x

• 4x

• 5x

What is the final simplified form of the expression 5x - (x + 3)?

• 4x - 3

• 5x - 3

• 4x + 3

• 5x + 3