Distributive Property and Simplification

Mrs. Lopez introduces module three, lesson three for grade seven, focusing on writing products as sums and sums as products. The lesson includes solving a ratio problem using tape diagrams, representing sums and products with tape diagrams and arrays, and an introduction to the distributive property. Students learn to apply the distributive property to various expressions, rewrite expressions in standard form, and handle division. The lesson concludes with a homework assignment.

In the example problem, if the total amount of money is $56 and the ratio of Ross to Monica is 3:4, how much does Monica receive?

• $32

• $24

• $30

• $28

How can you represent the sum 3 + 2 using a tape diagram?

• A box with 2 units and another with 3 units

• A box with 3 units and another with 2 units

• A single box with 5 units

• Two separate boxes

What is the result of applying the distributive property to 3(x + 2)?

• 3x + 2

• 3x + 6

• x + 6

• 3x + 2x

When using the distributive property, what do you do with the number outside the parentheses?

• Add it to each term inside

• Divide it by each term inside

• Multiply it by each term inside

• Subtract it from each term inside

If you have 5(8x + 3), what is the expanded form using the distributive property?

• 40x + 3

• 8x + 15

• 40x + 15

• 5x + 24

What is the result of applying the distributive property to 2(x + 1) when x = 5?

• 12

• 10

• 14

• 11

In the expression 10(2y + 5), what is the result when y = 1?

• 60

• 50

• 70

• 80

How do you handle division when applying the distributive property?

• Convert it to subtraction

• Convert it to multiplication by the reciprocal

• Ignore it

• Convert it to addition

What is the simplified form of 3(4z - 1) when z = 2?

• 21

• 20

• 18

• 24

How do you rewrite 6x + 15 divided by 3 using the distributive property?

• 6x + 5

• 2x + 15

• 2x + 5

• 3x + 5