Math III EOC Review #3

Front

If (2x-3y)² = ax² + bxy + cy², what are the values of a, b, and c?

Back

a = 4, b = -12, c = 9

Front

What is the center of the circle with equation x² + (y+6)² = 196?

Back

(0, -6)

Front

Which rational expression is equivalent to the given expression?

Back

Answer: B

Front

Reese is solving the equation log₂(291) = 8. Which exponential equation can she use to solve the problem?

Back

2⁸ = 291

Front

Solve for x. Round your answer to the nearest thousandth: 2^x = 9.

Back

x ≈ 3.155

Front

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

Back

(x - h)² + (y - k)² = r², where (h, k) is the center and r is the radius.

Front

Define a rational expression.

Back

A rational expression is a fraction where the numerator and the denominator are polynomials.

Front

What is the quadratic formula?

Back

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

Front

What does it mean for two expressions to be equivalent?

Back

Two expressions are equivalent if they have the same value for all values of the variable.

Front

What is the definition of a logarithm?

Back

A logarithm is the exponent to which a base must be raised to produce a given number.