U7D7 Fall Interim Review 5: Systems

Front

What is a system of equations?

Back

A set of two or more equations with the same variables that are solved together.

Front

What does it mean to solve a system of equations by elimination?

Back

It involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other variable.

Front

What is the solution to a system of equations?

Back

The point(s) where the equations intersect, representing the values of the variables that satisfy all equations in the system.

Front

Define a system of inequalities.

Back

A set of two or more inequalities with the same variables that are solved together, often represented graphically.

Front

What is the graphical representation of a system of equations?

Back

The intersection points of the lines representing each equation on a coordinate plane.

Front

How do you determine if a point is a solution to a system of inequalities?

Back

Substitute the point into each inequality; if it satisfies all inequalities, it is a solution.

Front

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

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the significance of the y-intercept in a linear equation?

Back

It is the point where the line crosses the y-axis, representing the value of y when x = 0.

Front

How do you convert a word problem into a system of equations?

Back

Identify the variables, translate the relationships and conditions into equations based on the problem's context.

Front

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

Back

Solve one of the equations for one variable in terms of the other variable.