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.

Tags

CCSS.HSG.GPE.A.1

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.

Tags

CCSS.HSG.GPE.A.1

Front

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

Back

The result is -8n² - 8n + 3.

Tags

CCSS.HSA.APR.A.1

Front

What is the distributive property in algebra?

Back

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

Tags

CCSS.6.EE.A.3

Front

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

Back

The result is 5x³ - 13x² + 24x + 12.

Tags

CCSS.HSA.APR.A.1

Front

What is the cosine of 4π/3?

Back

The cosine of 4π/3 is -1/2.

Tags

CCSS.HSF.TF.A.2

Front

What is the radius of the unit circle?

Back

The radius of the unit circle is 1.

Tags

CCSS.HSF.TF.A.2

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.

Tags

CCSS.7.G.B.4

Front

What is the Pythagorean theorem?

Back

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

Tags

CCSS.8.G.B.8

Front

What is the quadratic formula?

Back

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

Tags

CCSS.HSA-REI.B.4B