Exploring Equivalent Expressions

• 2x+6

• 2x+10

• 5x-3x+6

• 5x-3x+10

• 6y+3

• 9y-3y+3

• 5y+3

• 9y-3y+7

• x + 3

• 5x - 4x + 3

• 2x + 3

• 5x - 4x + 8

• 6y + 3

• 9y - 3y + 3

• 6y + 9

• 9y - 3y + 9

Select one answer.

Drag and drop the TWO expressions that are equivalent to (12x + 4y) – 2y​

​ (a)   ​ (b)  

• 12x + 2y

• 2(6x + y)

• 16x + 4y

• 14y

• 12x - 2y

Answer explanation

The expressions 12x + 2y and 2(6x + y) are equivalent to (12x + 4y) - 2y. These expressions simplify to the same result.

Select all expressions that are equivalent to 4(3x+2)

• 12x+8

• 7x+6

• 4(3x-2)

• 2(6x+4)

Choose all expressions that are equivalent to 6(2x+5)

• 12x+30

• 6(2x-5)

• 3(4x+10)

• 18x+15