Solve Equations with Pan Balance Equations

Use the pan balance to model and solve the equation.

8 + 7 = 5 + x

(a)  

On the right side of a balance, there are two birds that each weigh 12 ounces. On the left side, there is a bird that weighs 14 ounces, and a bird with an unknown weight. If both sides of the balance have the same weight, how much does the unknown bird weigh?

• 5 oz

• 48 oz

• 10 oz

• 12 oz

Use the pan balance to model and solve the equation.

2 + z = 4 + 10

(a)  

Which value of g makes the equation true? 3 × 2 + 4 = 2 + g

• 8

• 9

• 10

• 3
• 6
• 12
• 8

Balance to solve. enter answer as x

Mathematical Equivalence

ON

To keep an equation balanced when solving, whatever you do to one side of the equation, you...

• must do to the other side

• must always add

• just guess and check until you get the answer

• always divide by 2

Which value of p makes the equation true? 5 + p + 7 = 5 + 6 + 5

• 4

• 6

• 8

Carlo places 8 apple slices on one side of a pan balance and 12 orange slices on the other side. Each side weighs 48 grams. What is the weight of one apple slice? One orange slice?

• apple slice 6 grams

• orange slice 4 grams

• orange slice 6 grams

• apple slice 4 grams

Select all equations that match this balanced hanger.