8.1 Equations

Reasoning

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 Tools

How would you balance the pan balance?

• Take away 8 cubes from the left side of the balance.

• Add 11 more cubes to the right side of the balance.

• Add 27 more cubes to the right side of the balance.

• It is already balanced.

Multi-Step

Kevin placed 10 cubes on the right side of a pan balance. He placed 4 cubes on the left side. Then he doubled the number of cubes on the right side. Find the number of cubes that he must add to the left side to balance the pans.

• 14

• 6

• 16

• 24

What is the weight of 1 cube?

• 28 ounces

• 10 ounces

• 14 ounces

• 7 ounces

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

Which value of p makes the equation true?

6 + 4 + 3 = 7 + p

• 4

• 6

• 8

Which value of p makes the equation true?

5 + p + 7 = 5 + 6 + 5

• 4

• 6

• 8

Which value of g makes the equation true?

3 × 2 + 4 = 2 + g

• 8

• 9

• 10

Which value of g makes the equation true?

3 + 2 × 6 = g + 5

• 8

• 9

• 10