Equivalent Expressions and Distribution

The video tutorial introduces the concept of equivalent expressions, demonstrating how expressions that look different can represent the same value. It covers basic examples, the impact of changing the order of terms, and the use of the distributive property and factoring to create equivalent expressions. The tutorial emphasizes the importance of understanding positives and negatives in expressions.

What is an equivalent expression for a + a + a + a?

• a * 4

• 4a

• a^4

• a + 4

Which of the following is NOT an equivalent expression for 4a?

• 2a + 2a

• 3a + a

• a^4

• a + 3a

How can you rearrange 3x + 7 to form an equivalent expression?

• 3 + 7x

• 7x + 3

• x + 10

• 7 + 3x

What is an equivalent expression for -2 + 7a?

• 7a - 2

• 2 - 7a

• 7a + 2

• -7a + 2

What is the equivalent expression for 3x + 7 when rearranged?

• x + 10

• 3 + 7x

• 7 + 3x

• 7x + 3

What is the equivalent expression for -2 + 7a when rearranged?

• 7a - 2

• 2 - 7a

• -7a + 2

• 7a + 2

Why is it important to keep track of signs when creating equivalent expressions?

• To change the expression's meaning

• To make the expression more complex

• To maintain the expression's value

• To ensure the expression is longer

What is the result of distributing 3 into the expression (t + 6)?

• 3t + 3

• t + 18

• 3t + 18

• 3t + 6

Which expression is equivalent to 3(t + 6) after distribution?

• 3t + 3

• t + 18

• 3t + 18

• 3t + 6

Which property allows you to write 3(t + 6) as 3t + 18?

• Identity Property

• Commutative Property

• Distributive Property

• Associative Property