Algebraic Expressions

Which expression is equivalent to 10x + 2x + 6 + 3y + 4 + 6y?

• 10x + 9y + 6

• 31xy

• 12x + 3y + 10

• 12x + 9y + 10

Which expression is equivalent to 5(3x + 2y) + 4(2x - 3y)?

• 23x - 2y

• 23x + 22y

• 23x - y

• 5x - y

Which is an equivalent expression to 32m + 48n?

• 4(8m + 48n)

• 4(8m + 20)

• 16(2m + 3n)

• 16(2m + 48n)

Lewis has 3 boxes. The volume of each box is labeled. Find the total volume of all 3 boxes.

• The total volume is the sum of the volumes of the 3 boxes.

• The total volume is the product of the volumes of the 3 boxes.

• The total volume is the average of the volumes of the 3 boxes.

• The total volume is the difference between the largest and smallest box.

Mrs. Jones writes 4(3x + 5) on the board and asks 4 of her students to write equivalent expressions. She records them in the table. Sarah: 12x + 5 Rachel: 7x + 9 Eric: 12x + 20 Luke: 32x Which statement is true?

• Sarah is correct because she distributed 4 and got 12x + 5.

• Rachel is correct because she added 4 to everything in the parenthesis.

• Eric is correct because he distributed 4 to everything in the parenthesis.

• Luke is correct because he added all of the terms.

Find an expression to represent the perimeter of the figure shown below. The rectangle has sides labeled as x + 7 and 2x + 5.

• 2(x + 7) + 2(2x + 5)

• x + 7 + 2x + 5

• 2(x + 7) + (2x + 5)

• x + 7 + 2(2x + 5)

Two rectangles are shown below. Which expression is equivalent to the combined area of both rectangles?

• 8x square inches

• 8(x + 16) square inches

• 8(x + 2) square inches

• x + 16 square inches

Which pair of expressions is equivalent?

• 4(x + 2) and 4(x + 5 + 3)

• 3x + 2x - 6 and 5(x - 6)

• 4(3x + 2) and 2(6x + 4)

• 5x - 9 + 2x and 7(x + 11)

Which expressions are equivalent to 4(5 - 2m)? Select all that apply.

• 45 - 42m

• 20 - 8m

• 4(5) + 4(2m)

• 4(5) - 4(2m)

• 2(10 - 2m)

An expression is shown. A number is decreased by 23 and the result is 37. Which choice represents the expression?

• 23 - n = 37

• 23 + n = 37

• 23n = 37

• n - 23 = 37