Algebra 1 EOC Review

Front

What is the formula for the n^th term of an arithmetic sequence?

Back

The formula for the n^th term of an arithmetic sequence is a_n = a₁ + (n - 1)d, where a₁ is the first term and d is the common difference.

Front

How do you factor a quadratic expression of the form x² + bx + c?

Back

To factor a quadratic expression of the form x² + bx + c, find two numbers that multiply to c and add to b. Then, express it as (x + m)(x + n), where m and n are the two numbers.

Front

What does the term 'exponential growth' mean in a mathematical context?

Back

Exponential growth refers to an increase that occurs at a rate proportional to the current value, often modeled by the function f(x) = a(1 + r)^x, where a is the initial amount and r is the growth rate.

Front

What is the area of a rectangle formula?

Back

The area of a rectangle is calculated using the formula A = length × width.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x = 0.

Front

How do you solve a quadratic equation using the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the roots of the equation ax² + bx + c = 0.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line, represented by the equation f(x) = mx + b, where m is the slope and b is the y-intercept.

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(s) involved.

Front

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

Back

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the roots of a quadratic equation graphically?

Back

The roots of a quadratic equation can be found graphically by identifying the x-intercepts of the parabola represented by the equation.