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 remainder when 5x³ - 14x² - 8x + 5 is divided by x - 3?

Back

-10

Front

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

Back

2⁸ = 291

Front

Which fraction is in simplest form? (Options: A, B, C, D)

Back

B

Front

To investigate whether standing up while studying affects performance in an algebra class, a teacher assigns half of the 30 students in his class to stand up while studying and assigns the other half to not stand up while studying. Which of the following best describes this plan?

Back

This is an experiment.

Front

What is the quadratic formula used to solve ax² + bx + c = 0?

Back

x = (-b ± √(b² - 4ac)) / (2a)

Front

Define a polynomial function.

Back

A polynomial function is a function that can be expressed in the form f(x) = aₙxⁿ + aₙ₋₁xⁿ⁻¹ + ... + a₁x + a₀, where aₙ, aₙ₋₁, ..., a₀ are constants and n is a non-negative integer.

Front

What is the difference between a rational and an irrational number?

Back

A rational number can be expressed as a fraction of two integers, while an irrational number cannot be expressed as a simple fraction.

Front

What is the definition of a function?

Back

A function is a relation that assigns exactly one output for each input.

Front

What is the slope-intercept form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.