ALL Systems Review!

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations that have the same variables.

Front

How do you find the point where two equations intersect?

Back

You can find the intersection by solving the system of equations using methods like substitution or elimination.

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

If a rental car agency charges $30.00 per day plus $0.15 per mile, how would you express the total cost as a function of miles driven?

Back

Total cost = 30 + 0.15m, where m is the number of miles driven.

Front

What is the first step in solving a system of equations graphically?

Back

The first step is to graph each equation on the same coordinate plane.

Front

What does it mean if two lines in a system of equations are parallel?

Back

If two lines are parallel, it means there is no solution to the system because the lines never intersect.

Front

What is the solution to the system of equations 9x - 4y = 1 and -3x + 8y = -47?

Back

The solution is (-3, -7).

Front

How can you represent a real-world situation with a system of equations?

Back

You can represent a real-world situation by defining variables for the unknowns and writing equations based on the relationships between them.

Front

What is the significance of the coefficients in a system of equations?

Back

Coefficients represent the rate of change or the relationship between the variables in the equations.

Front

What is a consistent system of equations?

Back

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