Solving Equations and Area Problems

Mr. Richards reviews practice problems for Grade 6, Unit 6, Lesson 3. The video covers selecting equations that represent hangers, solving equations, matching equations to diagrams, calculating areas, and solving fraction division problems. It also includes percentage calculations related to savings goals. The lesson emphasizes reasoning and understanding mathematical concepts through practical examples.

Which of the following equations correctly represents a hanger with three X's and six boxes?

• 3X = 6

• X * X * X = 6

• X + X + X = 6

• X + 3 = 6

If a hanger has two X's and equals 3, which equation represents this scenario?

• X - 2 = 3

• X * 2 = 3

• X + 2 = 3

• 2X = 3

How can you find the value of X if 2X equals 14.62?

• Add 2 to 14.62

• Multiply 14.62 by 2

• Subtract 2 from 14.62

• Divide 14.62 by 2

Andre believes X is 7 because he can move two ones with X to the other side. Why is this incorrect?

• He should add two ones to both sides

• He should divide both sides by two

• He should multiply both sides by two

• He should remove two ones from both sides

Which equation matches a diagram where M minus 4 equals 12?

• 4M = 12

• M + 4 = 12

• M - 4 = 12

• 12 - M = 4

If the area of a rectangle is 14 square units and one side is 2 1/3, what is the length of the other side?

• 4 units

• 5 units

• 6 units

• 3 units

What is the value of Y if the area of a rectangle is 14 and one side is 4 1/5?

• 10/3 units

• 3 units

• 7 units

• 5 units

If Lin has saved 25% of her $20 goal, how much has she saved?

• $5

• $10

• $15

• $20

How much has Lin saved if she has reached 75% of her $20 goal?

• $15

• $5

• $20

• $10

If Lin has saved 125% of her $20 goal, how much money does she have?

• $25

• $30

• $20

• $15