Geometry and Algebra Problem Solving

The video tutorial covers five math problems, each focusing on different concepts. Problem 221 involves simplifying a complex fraction to find the correct choice. Problem 222 requires finding the y-coordinate of a point in a triangle on a coordinate plane. Problem 223 deals with calculating the time for one car to overtake another using relative velocity. Problem 224 involves determining the number of days based on an increase in average production. Finally, Problem 225 focuses on algebraic manipulation by replacing variables and simplifying an expression.

What is the result of simplifying the expression 1 + 1 over 1 plus 1/3?

• 5/3

• 7/4

• 11/7

• 3/2

In a coordinate system, if a triangle has a base of 4 and an area of 12, what is the height?

• 4

• 8

• 6

• 3

If Car A is traveling at 58 mph and Car B at 50 mph, how long will it take Car A to be 8 miles ahead of Car B?

• 3 hours

• 2 hours

• 4 hours

• 3.5 hours

Given an average production of 50 units over n days, and 90 units on the next day raises the average to 55 units, what is n?

• 8

• 7

• 6

• 5

What is the equivalent expression when x is replaced by 1/x in x + 1 over x - 1 squared?

• 1 over x - 1 squared

• x - 1 over x + 1 squared

• 1 over x + 1 squared

• x + 1 over x - 1 squared