algebra

Mary’s father is four times as old as Mary. Five years ago he was seven times as old. How old is Mary now?

A weight of 60 pounds rests on the end of an 8-foot lever and is 3 feet from the fulcrum. What weight must be placed on the other end of the lever to balance the 60 pound weight?

A man is paid P1,800 for each day he works and forfeits P300 for each day he is idle. If at the end of 40 days he nets P53,100, how many days was he idle?

Find the inverse of the function \(f(x) = \sqrt{2x - 3}\).

How many 5-card poker hands are there in a standard deck of cards?

Express 2,400,000 in scientific notation.

If a trip takes 4 hours at an average speed of 55 miles per hour, which of the following is closest to the time the same trip would take at an average speed of 65 miles per hour?

Which of the following is equivalent to the expression \((x^2 - 3x + 1) - (4x - 2)\)?

The number of ways that an organization consisting of twenty-six members can elect a president, treasurer and secretary (assuming no person is elected to more than one position) is

In how many ways can 5 red and 4 white balls be drawn from a bag containing 10 red and 8 white balls?

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

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

Using synthetic division, compute the remainder if we divide \(2x^3 + x^2 - 18x + 7\) by x − 2.

The force required to stretch a spring is proportional to the elongation. If 24 N stretches a spring 3 mm, find the force required to stretch the spring 2 mm.

A is 3 times as old as B. Three years ago, A was four times as old as B. Find the sum of their ages.

Solve for x: \(x = (0.125)^{-4/3}\).

If 8 oranges cost Php 96, how much does 1 dozen cost at the same rate?

What is the discriminant of the equation \(4x^2 = 8x - 5\)?

The polynomial \(x^2 + 4x + 4\) is the area of a square floor. What is the length of its side?

A person had a rectangular garden with sides of lengths 16 feet and 9 feet. The garden was changed into a square design with the same area as the original rectangular garden. How many feet in length is each side of the new square garden?