Solving Word Problems with Variables

The video tutorial covers mathematical modeling exercises for sixth-grade students. It includes problems involving weight, money, age, apps, distance, and speed. Each problem is analyzed using tape diagrams and equations to find solutions. The tutorial emphasizes understanding relationships and solving equations to determine unknown values.

If Juan gained 20 pounds since last year and now weighs 120 pounds, how much did he weigh last year?

• 140 pounds

• 120 pounds

• 80 pounds

• 100 pounds

Rashad is 15 pounds heavier than Diego. If Rashad and Juan weighed the same last year, and Juan weighed 100 pounds last year, how much does Diego weigh?

• 90 pounds

• 115 pounds

• 100 pounds

• 85 pounds

If Christina has $100, which is $20 more than Marissa, how much money does Marissa have?

• $80

• $100

• $120

• $60

Marissa has twice as much money as Frank. If Marissa has $80, how much does Frank have?

• $40

• $20

• $80

• $60

Laura is 10 years older than Rihanna. If Laura is 50 years old, how old is Rihanna?

• 40 years

• 50 years

• 30 years

• 60 years

Rihanna is twice as old as Madeline. If Rihanna is 40 years old, how old is Madeline?

• 20 years

• 10 years

• 40 years

• 30 years

Carly has 90 apps, which is three times the number of apps Thiess has. How many apps does Thiess have?

• 30 apps

• 60 apps

• 90 apps

• 45 apps

Braylon has half the number of apps as Thiess. If Thiess has 30 apps, how many apps does Braylon have?

• 15 apps

• 10 apps

• 30 apps

• 45 apps

Lance rides downhill at 60 mph, which is four times his flat road speed. What is his speed on flat roads?

• 20 mph

• 10 mph

• 15 mph

• 30 mph

If Lance's flat road speed is 15 mph, and he rides 8 mph slower uphill, what is his uphill speed?

• 7 mph

• 10 mph

• 12 mph

• 5 mph