Unit 4 Review

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 simultaneously.

Front

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

Back

It means that the equations represent parallel lines that never intersect.

Front

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

Back

It means that the equations represent the same line, and every point on that line is a solution.

Front

How do you determine the solution of a system of linear equations graphically?

Back

By plotting the equations on a graph and identifying the point(s) where the lines intersect.

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

Solve the system of equations: 2x + 3y = 6 and x - y = 1.

Back

(3, 0)

Front

Solve the system of equations: 4x - y = 7 and 2x + y = 3.

Back

(2, -1)

Front

What is the graphical representation of the equation y = mx + b?

Back

It is a straight line where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent in a linear equation?

Back

The slope represents the rate of change of y with respect to x.