Solving Equations and Word Problems

Mr. Richards guides grade 6 students through unit 6, lesson 1, focusing on solving equations using tape diagrams. The lesson covers setting up equations, using visual aids to understand the relationships between variables, and solving for unknowns. Students also learn to calculate unit prices and apply percentage calculations to real-world scenarios, such as determining the calcium content in milk. The lesson emphasizes understanding mathematical concepts through visual representation and practical application.

What does the large rectangle in a tape diagram represent in the equation X + 4 = 17?

• The value of X

• The number 4

• The total value, 17

• The difference between X and 4

How can you find the value of X in the equation 5x = 35 using a tape diagram?

• Add 5 to 35

• Multiply 35 by 5

• Subtract 5 from 35

• Divide 35 by 5

In the equation X + 9 = 16, what operation helps you find the value of X?

• Multiplying 16 by 9

• Dividing 16 by 9

• Adding 9 to 16

• Subtracting 9 from 16

What is the value of X in the equation 4x = 28?

• 7

• 4

• 112

• 28

Which equation matches a tape diagram with three equal parts summing to 9?

• 9 - X = 3

• 3x = 9

• X + 3 = 9

• X = 9 / 3

What is the unit price per pound of potatoes if 4.5 pounds cost $2.52?

• $0.56

• $1.12

• $0.45

• $0.75

How much does one pound of broccoli cost if 2.5 pounds cost $7.75?

• $3.10

• $2.50

• $3.50

• $2.75

If a sports drink bottle contains 16.9 fluid ounces and 80% is consumed, how many ounces are left?

• 3.38 ounces

• 13.52 ounces

• 16.9 ounces

• 8.45 ounces

How many milligrams of calcium are in a cup of milk if it provides 25% of the daily recommended 1200 mg?

• 300 mg

• 1200 mg

• 150 mg

• 600 mg

What percentage of the daily calcium allowance does one cup of milk provide if it contains 300 mg?

• 50%

• 25%

• 75%

• 100%