Algebra 1 Mid-Semester Review 2022

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. It can be represented as f(x) where x is the input.

Front

How do you evaluate a function at a specific value?

Back

To evaluate a function f(x) at a specific value, substitute the value into the function. For example, to find f(5) in f(x) = 3 - 4(6 - x), replace x with 5.

Front

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

Back

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

Front

What does the y-intercept represent in a graph?

Back

The y-intercept is the point where the graph intersects the y-axis, indicating the value of y when x = 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. This means they intersect at a right angle.

Front

How do you find the slope of a line given two points?

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1) where (x1, y1) and (x2, y2) are the coordinates of the two points.

Front

What is the process for simplifying an expression?

Back

To simplify an expression, combine like terms, apply the distributive property, and reduce fractions where possible.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum.

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. Solutions are the points where the equations intersect.

Front

How do you determine if a point is a solution to a system of equations?

Back

To determine if a point is a solution, substitute the coordinates of the point into each equation. If both equations are satisfied, the point is a solution.