Semester Final Review

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line. It has the form f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

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

Back

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

Front

What does the y-intercept represent in a linear function?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the equation f(x) = mx + b.

Front

What is the equation of a line in slope-intercept form?

Back

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

Front

How do you solve a system of equations graphically?

Back

To solve a system of equations graphically, plot both equations on the same graph and identify the point(s) where they intersect. This point(s) represents the solution(s) to the system.

Front

What is the significance of the point of intersection in a system of equations?

Back

The point of intersection represents the solution to the system of equations, indicating the values of the variables that satisfy both equations simultaneously.

Front

What is the formula for calculating the cost of items when given total cost and quantity?

Back

The cost per item can be calculated using the formula: Cost per item = Total cost / Quantity.

Front

How do you simplify a rational expression?

Back

To simplify a rational expression, factor the numerator and denominator and then cancel out any common factors.

Front

What is the process for solving a linear equation?

Back

To solve a linear equation, isolate the variable on one side of the equation using inverse operations (addition, subtraction, multiplication, division) until the variable is alone.

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 variables involved.