AA Unit 7 Systems review

Front

What is a solution in the context of a coordinate plane?

Back

A solution is a point (x, y) that satisfies a given equation or inequality.

Front

How do you determine if a point is part of a solution set?

Back

Substitute the point's coordinates into the equation or inequality. If the equation holds true or the inequality is satisfied, the point is part of the solution set.

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions, showing that one is greater than, less than, or not equal to the other.

Front

What does the graph of an inequality represent?

Back

The graph of an inequality represents all the possible solutions that satisfy the inequality.

Front

How do you graph a linear inequality?

Back

1. Graph the corresponding linear equation as a solid line (for ≤ or ≥) or a dashed line (for < or >). 2. Shade the region that satisfies the inequality.

Front

What is the significance 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 (positive slope means increasing, negative slope means decreasing).

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

How can you solve a system of equations graphically?

Back

By graphing each equation on the same coordinate plane and identifying the point(s) where the lines intersect.

Front

What is the substitution method in solving systems of equations?

Back

The substitution method involves solving one equation for one variable and substituting that expression into the other equation.

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.