Algebraic Expressions and Operations

Mr. Wooley introduces a lesson on writing products as sums and sums of products, focusing on the distributive property. The video covers solving problems using tape diagrams, drawing rectangular arrays, rearranging expressions, and applying the distributive property in division scenarios. The lesson concludes with final examples and encourages students to practice on Schoology.

What is the value of x if the sum of money shared between George and Benjamin is $56, with a ratio of 3:4?

• 6

• 7

• 8

• 9

How many total numbers are there when you draw an array for 3 times (3 + 2)?

• 15

• 18

• 10

• 12

What is the total area of a shape with dimensions 11 by 16 and an additional section measuring 11 by 5?

• 221

• 187

• 231

• 176

How can the expression 3x + 3y be rewritten using the distributive property?

• 3(x + y)

• 3x + y

• x + y

• x + 3y

What is the equivalent expression for 5 times (8x + 3) using the distributive property?

• 40x + 3

• 40x + 15

• 8x + 3

• 8x + 15

If x is 5, what is the value of 2(x + 1)?

• 10

• 12

• 14

• 16

What is the result of dividing the expression 6x + 15 by 3?

• 2x + 3

• 3x + 5

• x + 5

• 2x + 5

How would you express the total points in a basketball game where free throws are worth 3 points and half-court shots are worth 6 points?

• f + h = p

• 3h + 6f = p

• 3f + 6h = p

• 3f + h = p

What is the simplified form of the expression (20r - 8) divided by 4?

• 4r - 2

• 5r + 2

• 4r + 2

• 5r - 2

What is the result of dividing 49g - 7 by 7?

• 6g + 1

• 6g - 1

• 7g + 1

• 7g - 1