Area, Perimeter, and Algebraic Expressions

Mr. Richards reviews practice problems from lessons 9, 10, and 11 on the distributive property for grade 6. The video covers solving expressions for rectangle areas, calculating products using diagrams, mental math for cost calculations, drawing diagrams on graph paper, solving percentage problems, and evaluating expressions mentally. It also includes solving various equations and explaining reasoning.

Which of the following expressions correctly represents the area of a rectangle with sides 5 and (2 + 4)?

• 5 + 2 * 4

• 5 * (2 + 4)

• 5 * 2 + 4

• 5 * 2 * 4

How can you calculate 19 times 50 using the distributive property?

• 10 times 50 plus 9 times 50

• 20 times 50 minus 50

• 19 times 50 directly

• 10 times 19 plus 50

What is the result of 98 times 24 using the distributive property?

• 100 times 24 minus 2 times 24

• 98 times 24 directly

• 2400 plus 48

• 2400 minus 48

If 120% of X equals 78, which equation represents this relationship?

• 120 * X = 78

• X / 1.2 = 78

• 1.2 * X = 78

• X = 78 / 1.2

Kieran's aunt is 17 years older than Kieran. How old will she be when Kieran is 15?

• 17 years old

• 47 years old

• 32 years old

• 15 years old

Which expression is equivalent to 4B?

• B * 4

• 4 + B

• B / 4

• B + B + B + B

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

• 9 cm

• 12 cm

• 6 cm

• 15 cm

Which of the following is equivalent to 16x + 36?

• 16x + 36x

• 8(2x + 4.5)

• 16x + 72

• 4(4x + 9)

If the area of a rectangle is 30 + 12x, what could be the dimensions?

• 3 and 10 + 4x

• 6 and 5 + 2x

• 2 and 15 + 6x

• All of the above

What is the side length of a square with an area of 121 square cm?

• 13 cm

• 10 cm

• 11 cm

• 12 cm