The GRE Quantitative Reasoning Test: Algebra, List 1

If you think of the center of the dinosaur as the axis, the tail was working to keep the creature balanced as its body weight shifted from left to right during a run. Scientific American (Sep 23, 2021)

“It’s really, really difficult right now to just buy U.S. dollars and convert rubles into dollars or any other currency in Russia.” New York Times (May 26, 2022)

But Hipparchus was the first to define the locations of stars using two coordinates, and to map stars across the whole sky. Scientific American (Oct 20, 2022)

For instance, the simple equation 4x – 12 = 0 describes how an unknown number x is related to 4, 12, and 0. Zero: The Biography of a Dangerous Idea

This summer, it was able to match premium animal egg prices in many markets for the first time, offering its mung bean protein eggs for $3.99 a bottle, the equivalent of eight eggs. Washington Post (Oct 5, 2022)

Squaring a number doubles the exponent, and for the base 2, adding one to the exponent corresponds to doubling the number. Scientific American (Feb 23, 2020)

We know that we must follow the order of operations to simplify expressions with square roots. Elementary Algebra

Remember that the bigger the number, the smaller the risk, and that for every unit increase in the safety index, the risk declines by a factor of 10. Innumeracy: Mathematical Illiteracy and Its Consequences

Obesity is defined by a measure called body mass index, which is based on a formula that divides one’s weight in kilograms by the square of one’s height in meters. New York Times (Apr 16, 2020)

Likewise, the square root of the limit of a function equals the limit of the square root of the function; the same holds true for higher roots. Precalculus

The roller-coaster graph lines tell the story of both unsustainable, sky-high prices and the huge losses that investors suffered if they bought during the end of the run-up and sold just a few days later. Washington Post (Feb 18, 2021)

It considers not just the horizontal distance between patches, but also factors such as the height and number of buildings that could hinder animals as they try to move from one habitat to another. Science Magazine (Nov 2, 2022)

With Richardson’s curve and the simplest extrapolation for the future growth of the human population, the two curves do not intersect until the thirtieth century or so, and Doomsday is deferred. Cosmos

Imaginary numbers never appeared in linear equations, but they began to crop up in quadratic ones. Zero: The Biography of a Dangerous Idea

It relied upon an illegal mathematical operation, but it had one huge advantage. Zero: The Biography of a Dangerous Idea

For example, a circle at the origin can be represented by the set of all points where x² + y² – 1 = 0. Zero: The Biography of a Dangerous Idea

But unlike other species, krill most often changed direction based on neighbors in the vertical plane, swimming toward peers ahead and below but away from those ahead and above. Scientific American (Jul 6, 2022)

The quadratic formula has been known for centuries; the ninth-century mathematician al-Khowarizmi knew how to solve almost every quadratic equation, though he didn’t seem to consider negative numbers as roots. Zero: The Biography of a Dangerous Idea

The principal square root is the nonnegative root of the number. College Algebra

Depending on whether it’s a toe pick jump or an edge jump, the movement patterns they do to get that vertical velocity will differ. Scientific American (Feb 14, 2022)