One Step Equation with Pan Balance

Use the pan balance to model and solve the equation.

8 + 7 = 5 + x

Use the pan balance to model and solve the equation.

2 + z = 4 + 10

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

On the left side of a pan balance, there are two model cars that each weigh 8 ounces. On the right side, there is a model truck that weighs 12 ounces and a model car with an unknown weight. If both sides of the balance have the same weight, how much does the unknown model car weigh?

• 28 oz

• 4 oz

• 20 oz

• 8 oz

The equation 10 = x - 3 is represented by the model shown.

Which represents the solution to this equation?​ (a)  

• x = 13

• x = 3

• x = 7

• x = -7

Mathematical Equivalence

ON

Mathematical Equivalence

ON

On another pan balance, Carlo places 3 of the apple slices and 4 of the orange slices on the left side. He places 1 apple slice on the right side. How many orange slices will Carlo need to place on the right side so that pans are balanced?

• 7 orange slices

• 8 orange slices

• 6 orange slices

• 5 orange slices

6g = -24

g =

g - 16 = 82

g =