Understanding Inverses and Expressions

This video tutorial by Mr. Ham covers lesson two from module three, focusing on generating equivalent expressions. It explains the concept of equivalent expressions, additive inverses, and how to prove expressions are opposites. The tutorial includes examples of subtracting expressions, aligning expressions vertically, and solving word problems using expressions. Additionally, it covers the concept of multiplicative inverses and their properties.

What is the additive inverse of the expression 5?

• 0

• 5

• -5

• 10

If you have the expression 7 - 3, how can you rewrite it using the concept of opposites?

• 7 - 3

• 7 + 3

• 7 - (-3)

• 7 + (-3)

If you have the expression 3x + 5y - 4, what is the opposite of this expression?

• 3x + 5y + 4

• -3x + 5y - 4

• 3x - 5y + 4

• -3x - 5y + 4

When aligning expressions vertically, what is the first step?

• Add all terms together

• Align like terms

• Subtract the smallest term

• Multiply the terms

What is the result of aligning and adding the expressions 5a + 3b - 6c and 2a - 4b + 13c?

• 3a - 7b + 19c

• 7a - b + 7c

• 3a + b + 7c

• 7a + b + 19c

In a word problem, if a stick is x meters long and a string is four times as long, how would you express the length of the string?

• x/4

• x - 4

• x + 4

• 4x

In a word problem, if the total length of a stick and a string is 15 meters, and the string is four times the length of the stick, what is the length of the stick?

• 5 meters

• 4 meters

• 6 meters

• 3 meters

What is the multiplicative inverse of 8?

• 1/8

• 0

• 8

• -8

How do you verify that two numbers are multiplicative inverses?

• Their sum is zero

• Their product is one

• Their difference is zero

• Their quotient is one

What is the multiplicative inverse of -2?

• -2

• 2

• 1/2

• -1/2