Finding Equivalent Equations

Which expression is equivalent to 3 (x + 6)?

• 3 + 3 + x + 6

• 3x + 6

• 3x + 18

• (3 + x) + (3 x 6)

Which two expressions are equivalent?

• (10 - 6) ÷ y and 10 - (6 ÷ y)

• 4 + (3 ⋅ y) and (4 + 3) ⋅ y

• (18 ÷ y) + 10 and 10 + (y ÷ 18)

• 12 - (y ⋅ 2) and 12 - (2 ⋅ y)

Which two expressions are equivalent? (only one answer)

• 6 ⋅ x + 3

  6 ⋅ ( x + 3)

• 8 ⋅ 6 ÷ x

  8 ⋅ x ÷ 6

• 9(6 + x)

  9 ⋅ 6 + 9 ⋅ x

• x + (8 ⋅ 9)

  (x + 8) ⋅ 9

Use the distributive property to find an equivalent expression: 5(2f + 4)

• 10f + 4

• 10f + 9

• 10f + 20

• 30f

Equivalent equations have exactly the same solution set. Select all equations that are NOT equivalent to the following equation.

Choose all equations that match the equation

Which of the following is equivalent to 11x + 11y = 7

Which of the following is equivalent to 5x + 7y = −7

Which of the following is equivalent to 7x + y = −6

Which equation has the same solution as 6 – 3 x = 5 x – 18?

• 4 x – 6 = 2 x – 12

• 10 – 7 x = 28 – 13 x

• 9 + 4 x = 8 x + 3