Grade 6 | Unit 6 | Lesson 3: Staying in Balance | Practice Problems

Select all the equations that represent the hanger.

Write an equation to represent each hanger. Four balanced hangers, A, B, C, and D. A, left side, 2 identical circles, x, right side, 3 identical squares, 1. B, left side, 1 triangle, w, 1 square, 1 point 3, right side, 1 rectangle, 2 point 7. C, left side, 3 identical pentagons, y, right side, 1 rectangle, 5 point 1. D, left side, 1 crown, z, 1 square, one third, right side, 1 square, one half.

Match each equation to one of the diagrams. \(12-m=4\) \(12=4\boldcdot m\) \(m-4=12\) \(\frac{m}{4}=12\) Four tape diagrams labeled A, B, C, and D. Tape diagram A has 2 bars of equal length. The top bar is labeled m. The bottom bar is partitioned into 2 parts labeled 12 and 4. Tape diagram B has 2 bars of equal length. The top bar is labeled 12. The bottom bar is partitioned into 2 parts labeled 4 and m. Tape diagram C has 2 bars of equal length. The top bar is labeled m. The bottom bar is partitioned into 4 parts labeled 12, 12, 12, and 12. Tape diagram D has 2 bars of equal length. The top bar is labeled 12. The bottom bar is partitioned into 4 parts labeled m, m, m, and m.

• \(12-m=4\) matches B

• \(12=4\boldcdot m\) matches D

• \(m-4=12\) matches A

• \(\frac{m}{4}=12\) matches C

Lin needs to save up $20 for a new game. How much money does she have if she has saved each percentage of her goal? Explain your reasoning. 25% 75% 125%