SDC PreCalculus - Review

Front

What is the standard form of a circle's equation?

Back

The standard form of a circle's equation is (x - h)² + (y - k)² = r², where (h, k) is the center and r is the radius.

Front

How do you convert a circle's equation from general to standard form?

Back

To convert, complete the square for the x and y terms in the equation Ax² + Ay² + Bx + Cy + D = 0.

Front

What is the result of simplifying (4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)?

Back

The result is -8n² - 8n + 3.

Front

What is the distributive property in algebra?

Back

The distributive property states that a(b + c) = ab + ac.

Front

What is the result of multiplying (5x + 2)(x² - 3x + 6)?

Back

The result is 5x³ - 13x² + 24x + 12.

Front

What is the cosine of 4π/3?

Back

The cosine of 4π/3 is -1/2.

Front

What is the radius of the unit circle?

Back

The radius of the unit circle is 1.

Front

What is the formula for the area of a circle?

Back

The area of a circle is A = πr², where r is the radius.

Front

What is the Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, a² + b² = c², where c is the hypotenuse.

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a) for the equation ax² + bx + c = 0.