Algebra 1 EOC Review

Front

What is a difference of perfect squares?

Back

A difference of perfect squares is an expression of the form a^2 - b^2, which can be factored into (a - b)(a + b). Example: 9x^2 - 100 = (3x - 10)(3x + 10).

Front

What is the slope of a line parallel to a line with slope m = 3/4?

Back

The slope of a line parallel to another line is the same. Therefore, the slope is 3/4.

Front

What is the exponential function for a savings account that starts with $400 and gains 3% every year?

Back

The exponential function is f(x) = 400(1 + 0.03)^x.

Front

If f(x) = x^2, what is g(x) if g(x) is a vertical shift down by 5 units?

Back

g(x) = x^2 - 5.

Front

What is the solution to the equation 5x^2 - 36x + 36 = 0?

Back

The solution is x = 1.2.

Front

What is the formula for the area of a rectangle?

Back

The area A of a rectangle is given by A = length × width.

Front

What is the quadratic formula?

Back

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

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

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

Back

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

Front

What is the definition of a function?

Back

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