Mathematical Problem Solving Concepts

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. The video concludes with solving various equations and demonstrating reasoning.

Which of the following expressions correctly represents the area of a rectangle with sides 5 and the sum of 2 and 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 50 plus 9 times 50

• 19 times 50 directly

• 10 times 19 plus 50

If a bag of popcorn costs $2.99, how much would it cost for 8 friends to each have a bag?

• $25.00

• $23.92

• $24.00

• $23.00

What equation represents 120% of X being equal to 78?

• X = 78 / 1.2

• 120 * X = 78

• X / 1.2 = 78

• 1.2 * X = 78

How old will Kieran be when his aunt is 60 years old, if she is 17 years older than him?

• 32 years

• 60 years

• 47 years

• 43 years

Which expression is equivalent to 4B?

• B * 4

• 4 + B

• B + B + B + B

• B^4

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

• 49 cm

• 28 cm

• 21 cm

• 14 cm

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

• 13 cm

• 11 cm

• 12 cm

• 10 cm

Which of the following is equivalent to 1/2 Z?

• Z / 2

• 2Z

• Z^2

• 1/4 + 1/4

What is the result of dividing 150 by 0.1?

• 1.5

• 1500

• 15

• 150