# FREE Explore Basic Algebra Questions and Answers

#### A automobile costs $12,590 at the time of sale, which is a 20% discount off the sticker price. What was the initial cost?

$12,590 = Original Price – 0.2(Original Price) = 0.8(Original Price), Original Price = $12,590/0.8 = $15,737.50

#### What portion of the page can he complete in 5 minutes if Peter can type a page in p minutes?

It is possible to write the ratio as 1/p=x/5. xp = 5 is the result of solving for the variable x, where x=5/p. Peter can therefore type five pages per minute.

#### The city council has resolved to increase the room tax by 0.3% for motels and hotels. How much would the city get in taxes from a traveler who stays the night in a motel room that costs $55 before taxes?

$55 multiplied by a third, or 0.003, equals $0.165 in taxes. 17 cents are obtained by rounding to the nearest cent.

#### When y = 3, y3(y3-y)=

When 3 is substituted for y, the result is 33 (33-3), which is the same as 27(27 - 3), or 27(24). The expression therefore equals 648.

#### Employees at a cheap appliance retailer get an extra 20% off the item's lowest price. How much will an employee spend if he buys a dishwasher during a 15% discount sale when the dishwasher initially cost $450?

Sale Price = $450 – 0.15($450) = $382.50, Employee Price = $382.50 – 0.2($382.50) = $306

#### The following equation for A must be solved: 2A/3 = 8 + 4A

It is possible to multiply both sides of the equation by 3 before attempting to find A. This can be represented as 2A=24+12A or 3(2A/3)=3(8+4A).

-10A=24 is obtained by subtracting 12A from both sides of the equation. A is equal to -10 divided by 2.4.

#### A small community college sends a student his grade report, but the GPA is tainted. He enrolled in the following classes: 2 hours of art, 3 hours of history, 4 hours of science, 3 hours of mathematics, and 1 hour of science lab. He scored a "B" in art, a "A" in history, a "C" in science, a "B" in mathematics, and a "A" in science lab. If the letter grades are based on a 4-point scale, what was his GPA? (A=4, B=3, C=2, D=1, F=0)

The equation ((3*2)+(4*3)+(2*4)+(3*3)+(4*1))/13, which equals 3, or 3.0, can be used to calculate the GPA.