Exploring Illustrative Mathematics Grade 6 Unit 6 Lesson 8

This video tutorial covers the concepts of equal and equivalent expressions in math. It begins with an introduction to the topic, followed by mental math techniques for solving basic equations. The use of tape diagrams is explained to visualize equivalent expressions. Various examples are provided to explore when expressions are equivalent or not. The lesson concludes with a summary and homework instructions.

What does squaring a number mean?

• Multiplying the number by itself

• Adding the number to itself

• Subtracting the number from itself

• Dividing the number by 2

What operation is equivalent to multiplying by one-third?

• Multiplying by three

• Adding one-third

• Dividing by three

• Subtracting one-third

When x is 1, are the expressions x + 2 and 3x equivalent?

• Only if x is greater than 1

• Yes, they are equivalent

• No, they are not equivalent

• Only if x is less than 1

What is the value of x when 3x is equivalent to x + 2?

• 1

• 0

• 2

• 3

Are x + 3 and 3 + x always equivalent?

• Yes, for any value of x

• No, only when x is 3

• No, they are never equivalent

• Yes, but only for positive x

Which expressions are always equivalent?

• x + 2 and 3x

• a + 3 and 3 + a

• 2b + b and 3b, only when b is 1

• 4x and 15 + x, only when x is 5

Are the expressions 4x and 15 + x equivalent for all values of x?

• No, only for specific values of x

• Yes, for all values of x

• Yes, but only when x is negative

• No, they are never equivalent

What is the result of dividing 80% of x by 0.8 to solve for x?

• x = 125

• x = 100

• x = 80

• x = 160

How tall is Jada's dog now if it was 5.5 inches and grew 14.5 inches?

• 10 inches

• 20 inches

• 19 inches

• 14.5 inches

How many pounds of apples did Andre pick if Lynn picked 9 and 3/4 pounds, which was three times Andre's amount?

• 3 and 1/4 pounds

• 2 and 3/4 pounds

• 4 and 1/4 pounds

• 5 and 1/4 pounds