UNIT 6 REVIEW

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 determine if a point is a solution to a system of inequalities?

Back

To determine if a point is a solution, substitute the point's coordinates into each inequality. If the point satisfies all inequalities, it is a solution.

Front

What does the overlap of shaded regions in a graph represent?

Back

The overlap of shaded regions in a graph represents the solution set of a system of inequalities, where all conditions are satisfied.

Front

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

Back

The y-intercept is the point where the line crosses the y-axis, indicating the value of y when x is zero.

Front

How do you solve a system of equations graphically?

Back

To solve graphically, plot each equation on the same graph. The point(s) where the lines intersect represent the solution(s) to the system.

Front

What is the standard form of a linear equation?

Back

Front

What is the meaning of the slope in a linear equation?

Back

The slope indicates the steepness of the line and the direction of the relationship between the variables. It is calculated as the change in y over the change in x.

Front

How can you represent a real-world problem as a system of equations?

Back

Identify the variables, formulate equations based on the relationships described in the problem, and ensure the equations reflect the constraints given.

Front

What is the process for solving 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 process for solving a system of equations using elimination?

Back

1. Align the equations. 2. Multiply one or both equations to obtain equal coefficients for one variable. 3. Add or subtract the equations to eliminate that variable.