Area, Perimeter, and Algebraic Expressions

This video tutorial covers Unit 6, Lesson 11 on the distributive property. It explains how to use the distributive property to write equivalent expressions, verify expression equivalence, and solve equations. The lesson also includes calculating the area of rectangles and squares, and identifying expressions equivalent to half of Z. The tutorial concludes with a summary of the key concepts and problem-solving techniques discussed.

What is the equivalent expression for 4(x + 2) using the distributive property?

• 4x + 2

• 8x + 8

• 4x + 8

• 8x + 2

Which expression is equivalent to 8y - 24 according to Priya's method?

• 8(y - 3)

• 2(4y + 12)

• 8(y + 3)

• 2(4y - 12)

Which of the following is NOT equivalent to 16x + 36?

• 4(4x + 9)

• 2(8x + 18)

• 16x + 36x

• 16x + 320

How can the expression 30 + 12x be broken down to represent the area of a rectangle?

• Neither A nor B

• Both A and B

• 3(10 + 4x)

• 2(15 + 6x)

What is the perimeter of a square with a side length of 7 cm?

• 35 cm

• 28 cm

• 21 cm

• 14 cm

If the perimeter of a square is 360 cm, what is the length of one side?

• 180 cm

• 60 cm

• 90 cm

• 120 cm

What is the area of a square with a side length of 3 cm?

• 6 cm²

• 12 cm²

• 9 cm²

• 15 cm²

If the area of a square is 121 cm², what is the length of one side?

• 11 cm

• 12 cm

• 9 cm

• 10 cm

Solve the equation: 4y = 10. What is the value of y?

• 3

• 2

• 3.5

• 2.5

What is the value of y in the equation 5y = 17.5?

• 3

• 3.5

• 4

• 4.5