EQUATIONS WITH PROBLEM SOLVING - Algebra 2.5

The video tutorial covers problem-solving techniques in algebra, focusing on defining variables, solving perimeter problems with rectangles, understanding consecutive integers, and tackling train motion problems using constant motion equations.

If the width of a rectangle is 2 feet less than its length and the perimeter is 16 feet, what is the length of the rectangle?

• 6 feet

• 5 feet

• 4 feet

• 3 feet

In a rectangle problem, if the length is found to be 5 feet, what is the width?

• 4 feet

• 3 feet

• 2 feet

• 5 feet

What is the sum of three consecutive integers if the middle integer is 49?

• 144

• 147

• 153

• 150

If three consecutive integers add up to 147, what is the smallest integer?

• 51

• 50

• 48

• 49

Which of the following is a set of consecutive integers?

• 10, 11, 13

• 20, 21, 22

• 30, 32, 33

• 40, 41, 43

If a train travels at 60 mph for 2 hours, how far does it travel?

• 240 miles

• 180 miles

• 120 miles

• 60 miles

Two trains leave stations at different times. If Train 1 travels at 60 mph and Train 2 at 96 mph, which train will cover more distance in 3 hours?

• Cannot be determined

• Both cover the same distance

• Train 2

• Train 1

If Train 1 leaves at 2 PM traveling at 60 mph and Train 2 leaves an hour later at 96 mph, when will they meet?

• 3:40 PM

• 4:00 PM

• 3:00 PM

• 4:40 PM

What is the formula for distance in constant motion problems?

• Distance = Time / Speed

• Distance = Speed x Time

• Distance = Speed / Time

• Distance = Speed + Time

In a constant motion problem, if the rate is 60 mph and the time is 2 hours, what is the distance?

• 120 miles

• 60 miles

• 240 miles

• 180 miles