4-4 Advanced Practice

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. The solution is the point(s) where the equations intersect.

Front

What does it mean to solve a system of equations?

Back

To solve a system of equations means to find the values of the variables that satisfy all equations in the system simultaneously.

Front

What is the standard form of a linear equation?

Back

Front

How do you convert an equation to standard form?

Back

To convert to standard form, rearrange the equation to isolate the variables on one side and the constant on the other, ensuring A, B, and C are integers.

Front

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

Back

Front

How do you find the slope from two points?

Back

Front

What is the y-intercept of a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.

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 true.

Front

What does it mean if a system of equations has no solution?

Back

If a system has no solution, it means the lines represented by the equations are parallel and never intersect.

Front

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

Back

If a system has infinitely many solutions, it means the equations represent the same line, and every point on that line is a solution.