Age and Weight Word Problems

This video tutorial covers module 4, lesson 28, focusing on solving two-step problems using all operations: addition, subtraction, multiplication, and division. It emphasizes the use of substitution to verify solutions and solve real-world problems. The lesson includes examples involving weight and money, demonstrating how to use tape diagrams to visualize and solve equations. The tutorial also provides practice stations for students to apply their learning and check their solutions.

What is the primary focus of two-step problems discussed in this lesson?

• Focusing on addition and subtraction only

• Applying substitution to verify solutions

• Using tape diagrams for visualization

• Solving equations with one operation

In the weight problem, if Juan gained 20 pounds and now weighs 120 pounds, what was his weight last year?

• 80 pounds

• 120 pounds

• 100 pounds

• 140 pounds

How much does Diego weigh if Rashad is 15 pounds heavier and weighed the same as Juan last year?

• 85 pounds

• 100 pounds

• 105 pounds

• 90 pounds

If Christina has $100, which is $20 more than Marissa, and Marissa has twice as much as Frank, how much does Frank have?

• $30

• $50

• $40

• $20

In the age problem, if Laura is 50 years old and 10 years older than Reyna, how old is Madeleine if Reyna is twice her age?

• 20 years

• 25 years

• 30 years

• 40 years

Carly has 90 apps, which is three times the number of apps Theis has. How many apps does Braylon have if he has half the apps of Theis?

• 15 apps

• 60 apps

• 30 apps

• 45 apps

Reggie ran 180 yards, which is 40 more than his previous best. If Monty ran 50 more yards than Adrian and matched Reggie's old best, how many yards did Adrian run?

• 120 yards

• 90 yards

• 100 yards

• 110 yards

If Lance's downhill speed is 60 mph, which is four times his flat road speed, what is his uphill speed if it's 8 mph slower than his flat speed?

• 10 mph

• 7 mph

• 8 mph

• 9 mph

What is the purpose of using tape diagrams in solving these problems?

• To make the problems more complex

• To visualize relationships and simplify problem-solving

• To replace algebraic methods

• To focus only on numerical calculations

How does substitution help in verifying the solutions of equations?

• By eliminating variables

• By simplifying the equation

• By confirming the correctness of the solution

• By providing an alternative solution