Solving Real-World Algebra Problems

This video tutorial by Mrs. Apia covers lesson 23 from module 2, focusing on solving equations using algebra. Students learn to solve equations of the form P PX + Q = R and P * (x + q) = r using techniques like making zero and one through inverse operations. The lesson includes practical problems such as calculating costs for an amusement park trip, ice cream and water purchases, Charlotte's allowance, and Ellen's team uniforms. The video emphasizes understanding the sequence of operations and using tape diagrams for verification.

What is the primary focus of the lesson introduced by Mrs. Apia?

• Solving equations using calculus

• Solving equations using algebra

• Solving equations using geometry

• Solving equations using statistics

In the amusement park problem, what is the first step to isolate the variable P?

• Divide both sides by 2

• Subtract 85 from both sides

• Add 85 to both sides

• Multiply both sides by 2

How much does one park pass cost in the amusement park problem?

• $32.50

• $85.00

• $65.00

• $150.00

In the ice cream and water bottles problem, what is the equation used to find the cost of one bottle of water?

• B = 2.89

• 3B + 2.89 = 10

• 3B = 10

• B + 2.89 = 10

What is the cost of one bottle of water in the ice cream problem?

• $10.00

• $3.00

• $2.89

• $2.37

In Charlotte's allowance problem, what operation is used to find the original allowance?

• Addition

• Division

• Multiplication

• Subtraction

What is Charlotte's weekly allowance?

• $8

• $12

• $20

• $16

In the baseball caps and pants problem, what is the equation used to find the cost of a cap?

• 2C + 2(C + 12) = 68

• C + 12 = 68

• 2C = 68

• C = 12

What is the cost of one baseball cap?

• $68

• $23

• $12

• $11

What is the cost of one pair of pants in the baseball caps and pants problem?

• $23

• $68

• $12

• $11