System of Equations Write and Solve 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

How do you solve a system of equations using substitution?

Back

1. Solve one equation for one variable. 2. Substitute that expression into the other equation. 3. Solve for the remaining variable.

Front

What is the elimination method for 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 does it mean for a system of equations to be consistent?

Back

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

Front

What does it mean for a system of equations to be inconsistent?

Back

An inconsistent system has no solutions, meaning the equations do not intersect at any point.

Front

What is the graphical representation of a system of equations?

Back

The graphical representation shows the lines of the equations on a coordinate plane. The intersection point(s) represent the solution(s) of the system.

Front

How can 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.

Front

What is the price of 1 pack of sugar cookies if Amy sold 10 packages for $56 and Adam sold 9 packages for $60?

Back

$4

Front

Write a system of equations for the cost of squash and zucchini if 5 squash and 2 zucchini cost $1.32 and 3 squash and 1 zucchini cost $0.75.

Back

5q + 2z = 1.32 and 3q + 1z = 0.75

Front

What is the solution to the system of equations represented by the points (-2, 2) and (2, -2)?

Back

(-2, 2)