Algebra EOC Review

Front

Solve for x: x = by + v

Back

This equation represents a linear relationship where x is expressed in terms of y, b, and v.

Front

Subtract the following polynomials: (3x²-3x+2)-(x²-2x+1)

Back

The result is 2x² - x + 1, which is obtained by combining like terms.

Front

Write an equation that models the following situation: Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

Back

The equation is y = 6(1.14)ⁿ, where n is the number of weeks.

Front

Classify the model as Exponential GROWTH or DECAY: A=1200(0.85)⁶

Back

This model represents Decay because the base (0.85) is less than 1.

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables, coefficients, and non-negative integer exponents.

Front

Define a linear equation.

Back

A linear equation is an equation of the first degree, meaning it has no exponents greater than one.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input has exactly one output.

Front

Explain the concept of slope in a linear equation.

Back

The slope represents the rate of change of y with respect to x, calculated as rise over run.

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the roots of a quadratic equation.

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, as x increases, the value of f(x) also increases.