Multiplicative Inverses and Expressions

In this lesson, Mr. PI guides students through simplifying expressions using additive and multiplicative inverses. The lesson covers finding opposites of numbers, using any order and grouping to simplify expressions, and solving word problems. Students learn to apply these concepts through examples and exercises, ensuring they understand the equivalence of expressions and the use of inverses in arithmetic operations.

What is the opposite of the number 5?

• 0

• 5

• -5

• 10

How do you simplify the expression 3x + 5x using any order and grouping?

• 0

• 2x

• 15x

• 8x

What is the result of subtracting 4x from 7x?

• 0

• 11x

• -3x

• 3x

When combining expressions vertically, what is the result of 5a + 2a?

• 7a

• 0

• 3a

• 10a

If a stick is x meters long and a string is four times as long, what is the expression for the total length?

• x

• x + 4

• 5x

• 4x

How much will Margot pay for the storage unit if Clarissa contributes and they use it for 6 months?

• $86

• $100

• $72

• $50

What is the multiplicative inverse of 4?

• 4

• 1/4

• 1

• 0

How can you express 12 divided by 3 using a multiplicative inverse?

• 12 times 1/3

• 12 times 3

• 12 plus 3

• 12 divided by 1/3

What is the result of 65 divided by 5 using a multiplicative inverse?

• 65

• 13

• 1

• 5

What is the product of a number and its multiplicative inverse?

• Infinity

• The number itself

• 0

• 1