Mathematical Concepts and Problem Solving

Mr. Richards reviews practice problems from lessons 9, 10, and 11 in grade 6, focusing on the distributive property. The video covers solving expressions, using mental math, drawing diagrams, and evaluating equations. It also includes calculating area and perimeter, and solving equations with reasoning. The video concludes with a review of key concepts.

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?

• 20 times 50 minus 50

• 10 times 19 plus 50

• 19 times 50 directly

• 10 times 50 plus 9 times 50

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

• X = 78 / 1.2

• 120 * X = 78

• X / 1.2 = 78

• 1.2 * X = 78

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

• 17 years old

• 15 years old

• 47 years old

• 32 years old

Which expression represents the area of a rectangle with sides 2a, 3a, and 4a?

• 2a + 3a + 4a

• 2 * 3 * 4 * a

• 2 + 3 + 4 * a

• 2a * 3a * 4a

What is the correct expression for the area of a shaded rectangle with length M and a part of length 2 removed?

• 6 * (M - 2)

• 6 * M + 2

• 6 * (2 - M)

• M * 2

Which of the following is equivalent to 4B?

• B / 4

• B * 4

• 4 + B

• B + B + B + B

If 2/5 M equals 17/4, what is M?

• 34/5

• 17/8

• 8/85

• 85/8

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

• 6 cm

• 15 cm

• 12 cm

• 9 cm

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

• 10 cm

• 11 cm

• 12 cm

• 13 cm