Algebraic Expressions and Word Problems

The video tutorial covers five math problems, each focusing on different concepts. Problem 185 involves calculating the time taken by car y to travel 80 miles at a speed 50% faster than car x. Problem 186 requires finding the value of k from the average of four algebraic expressions. Problem 187 explores which expression results in an odd integer when given even and odd integers. Problem 188 deals with calculating the fraction of drum y's capacity filled after pouring oil from drum x. Finally, Problem 189 involves determining what percentage of x is represented by a given expression.

If car x travels at 40 mph, and car y travels 50% faster, how long does it take car y to complete an 80-mile journey?

• 2 hours

• 1.33 hours

• 1.5 hours

• 1 hour

What is the value of k if the average of k, 2k+3, 3k-5, and 5k+1 equals 63?

• 31.625

• 20

• 23

• 25.5

Which expression must be odd if p is even and q is odd?

• p * q

• p / q

• 2p + q

• p + q

If drum x is half full and drum y, twice the size of x, is two-thirds full, what fraction of y's capacity is filled when x is poured into y?

• 11/12

• 1

• 3/4

• 5/6

What percentage of x is represented by the sum of x/50 and x/25?

• 8%

• 10%

• 6%

• 12%