LP 3 Assessment Algebra 1

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

When can you add two equations together in the elimination method?

Back

You can add two equations together in the elimination method when the coefficients of one variable are opposites, allowing for that variable to be eliminated.

Front

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

Back

A point (x,y) is a solution to a system of equations if it satisfies all equations in the system, meaning it makes all equations true when substituted.

Front

How do you determine if subtracting one equation from another will eliminate a variable?

Back

You determine if subtracting one equation from another will eliminate a variable by checking if the coefficients of that variable are the same or opposites.

Front

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

Back

The first step is to align the equations and decide whether to add or subtract them based on the coefficients of the variables.

Front

What is the result of adding the equations -8x + 9y = -25 and 5x - 9y = 19?

Back

The result is -3x = -6.

Front

What is the solution to the system of equations 3x - 2y = -13 and x + 2y = 17 using elimination?

Back

The solution is (1, 8).

Front

What is the significance of opposite signs in the elimination method?

Back

Opposite signs allow for the elimination of a variable when adding or subtracting equations, simplifying the solving process.

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables that are solved simultaneously.

Front

What does it mean to solve by elimination?

Back

To solve by elimination means to manipulate the equations in a system to eliminate one variable, allowing for the other variable to be solved easily.