Unit 3 Semester 1 Review

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 variable.

Front

What is the substitution method in solving systems of equations?

Back

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

Front

Solve the system of equations using elimination: 2x + 3y = 6 and 4x - y = 5. What is the solution?

Back

(2, 0)

Front

Solve the system of equations using substitution: y = 2x + 1 and 3x - y = 4. What is the solution?

Back

(1, 3)

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 there are an infinite number of points that satisfy both equations.

Front

What is a consistent system of equations?

Back

A consistent system has at least one solution, meaning the lines intersect at one or more points.

Front

What is an inconsistent system of equations?

Back

An inconsistent system has no solutions, meaning the lines are parallel and never intersect.

Front

Solve the system of equations: x + 2y = 8 and 3x - y = 7. What is the solution?

Back

(3, 2)

Front

What is the graphical representation of a system of equations?

Back

The graphical representation consists of lines on a coordinate plane, where the intersection points represent the solutions.

Front

How do you check the solution of a system of equations?

Back

Substitute the solution back into the original equations to verify that both equations are satisfied.