Area, Distributive Property, and Expressions

This lesson covers the distributive property in math, focusing on mental math techniques for multiplication. It includes activities on calculating the area of rectangles using expressions and practicing the distributive property with numbers. The lesson concludes with a summary and homework instructions, followed by solutions and explanations for the homework problems.

How can you mentally calculate 5 times 102 using the distributive property?

• By subtracting 2 from 102 and then multiplying by 5

• By multiplying 5 by 100 and then adding 5 times 2

• By multiplying 5 by 50 and then doubling the result

• By adding 5 to 102 and then multiplying by 2

Which expression correctly represents the area of a rectangle with length 6 and width 5?

• 6 * 3 * 2

• 6 * 3 + 6 * 2

• 6 + 5

• 6 * 5

What is the result of using the distributive property on 33 times 12?

• 330 + 60

• 330 + 66

• 360 + 30

• 300 + 36

How can you simplify the expression 9 + 12 using the distributive property?

• 3 * (3 + 4)

• 3 * (9 + 12)

• 9 * (1 + 2)

• 12 * (1 + 1)

What is the mental calculation strategy for 5 times 79?

• 5 times 60 plus 5 times 19

• 5 times 80 minus 5 times 1

• 5 times 70 plus 5 times 9

• 5 times 90 minus 5 times 11

How do you calculate the cost of 8 bags of popcorn at $2.99 each mentally?

• Multiply 8 by $3 and add 8 cents

• Multiply 8 by $2.99 directly

• Multiply 8 by $2 and add 99 cents

• Multiply 8 by $3 and subtract 8 cents

What is the equivalent expression for a + a + a + a?

• 4a

• a^4

• a + 4

• 4 + a

How do you express 120% of X as an equation?

• 1.2X = 78

• 120X = 78

• X = 78/1.2

• X = 78/120

If Kieran's aunt is 17 years older than Kieran, how old is the aunt when Kieran is 30?

• 60

• 47

• 30

• 17

What is the result of dividing 78 by 1.2?

• 72

• 60

• 78

• 65