Solving Equations/Variables on Both Sides

Which equation would best represent the puzzle shown? Use "m" for the value of a moon.

• 2m + 20 = 4m + 5

• 2m + 4 = 4m + 1

• 2m + 4m = 25

• 2m + 4 + 4m + 1

How many moons could be removed from both sides of the puzzle and still keep it balanced?

• 5

• 6

• 8

• 2

What is the value of the moon that will solve the puzzle?

• 7.5

• 5

• 6

• 15

Which equation best represents the puzzle? Let "h" represent the value of a heart.

• h + 45 = 4h + 27

• h + 5 = 4h + 3

• 5h = 72

• h + 5 + 4h + 3

How many hearts could be removed from both sides of the puzzle and still keep it balanced?

• 1

• 4

• 5

• 8

What is the value of the heart that will solve this puzzle?

• 6

• 4

• 5

• 8

Xavier solved the following equation with the bar model that is shown. What is its solution?

"Three fourths of a number is equal to twenty-one"

• 28

• 21

• 7

• 4

What type of equation is shown?

• an equation with variables on both sides

• a one-step equation

• a two-step equation

• an equation that requires using the distributive property

What would be the preferred first step to "eliminate" some of the variables from both sides of the equation?

• subtract 30n

• subtract 2

• subtract 22

• add 32n + 30n

What is the solution to the equation?

• n = 10

• n = 20

• n = 4

• n = 12