Unit 4 Test

Front

What is a system of inequalities?

Back

A system of inequalities is a set of two or more inequalities that share the same variables. The solution is the set of all points that satisfy all inequalities in the system.

Front

How do you represent a word problem as a system of inequalities?

Back

Identify the variables, write inequalities based on the conditions given in the problem, and ensure they reflect the relationships described.

Front

What does the variable 'x' typically represent in a word problem?

Back

'x' usually represents one of the unknown quantities that you are trying to solve for in a problem.

Front

What does the variable 'y' typically represent in a word problem?

Back

'y' usually represents another unknown quantity that is related to 'x' in the context of the problem.

Front

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

Back

Align the equations so that you can eliminate one variable by adding or subtracting the equations.

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

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the slope from a table of values?

Back

The slope can be found by taking the difference in the y-values divided by the difference in the x-values between two points.

Front

What is a solution to a system of equations?

Back

A solution to a system of equations is a set of values for the variables that makes all equations in the system true.

Front

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

Back

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