Semester 1 Final PreAlgebra 2024

Front

What is a solution to a system of equations?

Back

A solution to a system of equations is a set of values that satisfy all equations in the system simultaneously.

Front

How do you find the intersection of two lines?

Back

To find the intersection of two lines, solve the system of equations formed by the lines to find the point (x, y) where they meet.

Front

What is the rate of change in a linear equation?

Back

The rate of change in a linear equation is the slope, which indicates how much y changes for a unit change in x.

Front

What is slope-intercept form?

Back

Slope-intercept form is a way of writing the equation of a line as 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 represents the point where the line crosses the y-axis, indicating the value of y when x is 0.

Front

How do you graph a linear equation?

Back

To graph a linear equation, find two or more points that satisfy the equation and plot them on a coordinate plane, then draw a line through the points.

Front

What is the difference between consistent and inconsistent systems of equations?

Back

A consistent system has at least one solution, while an inconsistent system has no solutions.

Front

What does it mean if two lines are parallel?

Back

If two lines are parallel, they have the same slope and will never intersect, meaning they have no solutions.

Front

What is the formula for calculating slope?

Back

The formula for calculating slope (m) is m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

What is a linear equation?

Back

A linear equation is an equation that forms a straight line when graphed, typically in the form y = mx + b.