Expressions and Properties of Operations

The video tutorial covers writing expressions using tape diagrams, demonstrating equivalent expressions with addition and multiplication, and using a number line to show equivalence. It also includes exercises to determine the truth of equations using identities and writing equivalent expressions with variables and constants.

What is the multiplication expression for the tape diagram showing three groups of three?

• 3 + 3 + 3

• 3 x 3

• 3 x 2

• 2 + 2 + 2

How would you express two groups of eight using multiplication?

• 8 + 8

• 8 + 2

• 2 x 8

• 8 x 2

If you have three groups of five, what is the equivalent addition expression?

• 5 + 5 + 5

• 3 x 5

• 5 x 3

• 5 + 3

What is the multiplication expression for six groups of two?

• 6 + 2

• 2 x 6

• 6 x 2

• 2 + 2 + 2 + 2 + 2 + 2

How can you demonstrate 3 times 2 on a number line?

• Start at 0, add 2 three times

• Start at 0, add 3 two times

• Start at 0, add 2 two times

• Start at 0, add 3 three times

What is the identity property of addition?

• Adding a number to itself gives double the number

• Subtracting zero from a number gives the same number

• Multiplying a number by one gives the same number

• Adding zero to a number gives the same number

Which equation demonstrates the subtraction identity?

• f - 0 = f

• 2f - 4e + 4e = 2f

• x + 0 = x

• x + 6g - 6g = x

What is the equivalent expression for four groups of six added to three groups of four?

• 4 x 3 + 6 x 4

• 6 x 4 + 3 x 4

• 4 x 6 + 3 x 4

• 4 + 6 + 3 + 4

How would you write three times a variable 'd'?

• 3d

• d3

• 3 + d

• d + 3

What is the addition expression for six groups of 'y'?

• 6 + y

• y6

• 6y

• y + y + y + y + y + y