Equivalent Expressions and Equations

Which expressions are equivalent to 6x?

Select ALL that apply.

• 5x + x

• x + 6

• 13x - 7

• 5x + 1

• x + x + x + x + x + x

Which expressions are equivalent to 18a + 36b.

• 54ab

• 9(2a + 4b)

• 3(6a + 12b)

• 6(3a + 8)

• 18 + a + 36 + b

Which expressions are equivalent to 8x? Select ALL that apply.

• x + 8

• 14x - 6

• 7x + x

• 7x + 1

• x + x + x + x + x + x + x + x

Select each expression that is equivalent to 8(f + 2).

• 4(f + 4) + f

• 3(f + 2) + 6(f + 2)

• 8f + 16

• 6(f + 2 ) + 2f + 4

• 8f + 2

Which statement shows an equivalent equation?

• 3(7g + 5) = 21g + 8

• 2d + 15 + 4d - 9 +d = 7d + 6

• 14x + 21 = 7(2x + 9)

• 11 +6c + 5c -8 + 2c = 13c + 4

Ms. Reynolds and Mr. Rolison are selling pencils at BUE. Ms. Reynolds sells 14 cases of pencils and Mr. Rolison sells 9 cases of pencils. There are (p) pencils in each case. Which expression is equivalent to how many pencils Ms. Reynolds and Mr. Rolison sold.

• 23p

• 5p

• 22p

• 116p

Mason and Morgan are selling candy apples for a fundraiser. Mason sells 18 cases of candy apples and Morgan sells 10 cases of candy apples. There are (c) candy apples in each case. Which expression is equivalent to how many candy apples Mason and Morgan sell?

• 180c

• 8c

• 18c

• 28c

Which expression is equivalent to 4 (x + 5) ?

• 4 + x + 4 + 5

• 4x + 5

• 4 + x + 5

• 4x + 20

Which two expressions are equivalent?

• 4 (2 + x) and 4 ⋅ 2 + 4 ⋅ x

• x + (4 ⋅ 3) and (x + 4) ⋅ x

• 6 ⋅ 4 ÷ x and 6 ⋅ x ÷ 4

• 8 ⋅ x + 2 and 8 ⋅ (x + 2)

Which algebraic expressions are equivalent?

• 2 (5x + 4) = 10x + 8

• 2 (5x + 4) = 10x + 4

• 2 (5x + 4) = 5x + 8

• 2 (5x + 4) = 7x + 6