Review: EE.3 Properties, EE.4 Expressions, EE.5 Prove Equations

Mary and Hannah go to a movie. Popcorn cost $4 each, and candy cost $4 each. Mary and Hannah order 2 drinks and 4 boxes of candy. They calculate the total price differently.

Mary used 4 x 2 + 4 x 4 . Hannah used 4(2 + 4) to find the total.

Which property allows Mary and Hannah to obtain the same correct answer?

• Associative Property

• Commutative Property

• Distributive Property

• Inverse Property

Which expression represents the perimeter of the triangle?

• 21a + 23

• 18a + 34

• 11a + 23

• 10a + 34

Which choice is equivalent to the expression 7(a + 5b)?

• 7a + 35b

• 7a + 5b

• a + 12b

• 35ab

Which expression represents the perimeter of the figure?

• 6x + 7

• 8x + 2

• 10x + 3

• 12x + 4

Which choice is equivalent to the expression in the box?

• 7b + a

• 6b + 2a

• 2b + 6a

• b + 7a

Mrs. Downing wrote an expression on the board and asked four students to determine an equivalent expression. The expression is:

10 + 10 + y + y. The table shows each student’s response. Which student’s response is equivalent to Mrs. Downing’s expression?

• Brendan

• Clarice

• David

• Elise

Choose the appropriate responses. The table shows two expressions representing the length and width of a rectangle. Which expression represents the perimeter of the rectangle?

• 2(y + 7) + 2(2y + 3)
• (y + 7)(2y + 3)

• y + 7 + 2y + 3

• 4(y + 7 + 2y + 3)

Which expression is equivalent to 30x + 100?

• 10(20x + 80)

• 10(3x + 10)

• 30(x + 70)

• 30(x + 100)

Which expression is equivalent to v + v + v + w + w + w + x?

• 3(v + 3w) + x

• 3(v + w) + x

• 3(v + w + x)

• 6vwx

Which expression is NOT equivalent to 24x - 108?

• 6(4x - 18)

• 9(15x - 12)

• 12(2x - 9)

• 24(x - 4.5)