Final Exam Review: Intro to HS Math

Front

What is a solution to a system of equations?

Back

A solution to a system of equations is a set of values for the variables that makes all equations in the system true.

Front

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

Back

Substitute the x and y values of the point into each equation. If both equations are satisfied, the point is a solution.

Front

What does it mean if two lines intersect on a graph?

Back

If two lines intersect, it means there is a unique solution to the system of equations represented by those lines.

Front

What is the graphical representation of a system of equations?

Back

The graphical representation consists of the lines corresponding to each equation, and the point of intersection represents the solution.

Front

What is the substitution method in solving systems of equations?

Back

The substitution method involves solving one equation for one variable and substituting that expression into the other equation.

Front

What is the elimination method in solving systems of equations?

Back

The elimination method involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other.

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 is zero.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

How can you tell if a system of equations has no solution?

Back

If the lines are parallel, they will never intersect, indicating that there is no solution to the system.

Front

What does it mean if a system of equations has infinitely many solutions?

Back

If the lines are coincident (the same line), there are infinitely many solutions, as every point on the line satisfies both equations.