Learning Checkpoint Practice Test

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 for two systems of equations to be equivalent?

Back

Two systems of equations are equivalent if they have the same solution set.

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

How do you substitute a variable in a system of equations?

Back

To substitute a variable, solve one equation for that variable and then replace it in the other equation.

Front

What is the purpose of using substitution in solving equations?

Back

Substitution simplifies the process of solving equations by reducing the number of variables.

Front

What is the definition of a variable in mathematics?

Back

A variable is a symbol used to represent an unknown value in mathematical expressions or equations.

Front

How do you determine the price of items using a system of equations?

Back

Set up equations based on the total cost and quantities of items, then solve the system to find the price of each item.

Front

What is the significance of the ordered pair in a system of equations?

Back

An ordered pair represents the solution to the system, indicating the values of the variables that satisfy all equations.

Front

What does it mean for one equation to be a multiple of another?

Back

One equation is a multiple of another if you can multiply or divide the entire equation by a non-zero constant to obtain the other equation.

Front

What is a linear equation?

Back

A linear equation is an equation that graphs as a straight line and can be written in the form Ax + By = C.