algebra

Michael’s age is seven-tenths of Richard’s age. In four years Michael’s age will be eight-elevenths of Richard’s age. How old is Michael?

Steve earned 96% on his first math test and 74% on his second test, and his average over 3 tests is 85%. What is his third test score?

Ian can remodel a kitchen in 20 hrs and Jack in 15 hours. If they work together, how many hours will it take to remodel the kitchen?

What is the numerical coefficient of the term containing \(x^3\) in the expansion of \((x + 2)^5\)?

What is 30% of 293?

A man sleeps on Monday, Tuesday, Wednesday, Thursday and Friday for 8, 6, 7, 4 and 5 hours, respectively. Find the number of hours he slept for 5 days.

An airplane flying with the wind took 2 hours to travel 1,000 km and 2.5 hours in flying back. What was the wind velocity in kph?

A woman is paid $20 for each day she works and forfeits $5 for each day she is idle. At the end of 25 days she nets $450. How many days did she work?

Determine the rate of a woman rowing in still water if it takes her 2 hours to row 9 miles with the current and 6 hours to return against the current.

If x varies directly as y and inversely as z, and x = 14 when y = 7 and z = 2, find x when y = 16 and z = 4.

If the 5th term of an arithmetic progression is 17 and the 3rd is 10, what is the 8th term?

Sarah leaves Seattle for New York in her car, averaging 80 mph across open country. One hour later a plane leaves Seattle for New York following the same route and flying 400 mph. How long will it be before the plane overtakes the car?

Mr. Santos owns a jewelry store. He marks up all merchandise 50 percent of cost. If he sells a diamond ring for P15,000, what did he pay the wholesaler for it?

For what values of x is \(|x - 3| = 1\)?

If \(3x = 4y\), then \(\dfrac{4y^2}{3x^2}\) is equal to:

Which term of the arithmetic sequence 2, 5, 8, … is equal to 227?

If \(\log_x 3 = \tfrac{1}{4}\), then x =

If \(f(x) = -x^2\), then \(f(x + 1) =\)

The Rotary Club and the Jaycees Club had a joint party. 120 members of the Rotary Club and 100 members of the Jaycees Club attended, but 30 of those who attended are members of both clubs. How many people attended the party?

A store advertised dresses on sale at 20 percent off. The sale price is $76. What was the original price of the dress?