BM 2 number 2

Front

What is a system of equations?

Back

A set of two or more equations with the same variables. The solution is the point(s) where the equations intersect.

Front

What does it mean if a system of equations has no solution?

Back

It means the lines represented by the equations are parallel and never intersect.

Front

How do you solve a system of equations graphically?

Back

By plotting the equations on a graph and identifying the point(s) where they intersect.

Front

What is an inequality?

Back

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

Front

What is the difference between a strict and non-strict inequality?

Back

A strict inequality (< or >) does not include the boundary, while a non-strict inequality (≤ or ≥) does.

Front

What is the meaning of absolute value in equations?

Back

The absolute value of a number is its distance from zero on the number line, always non-negative.

Front

How do you solve an absolute value equation?

Back

By setting up two separate equations: one for the positive case and one for the negative case.

Front

What is a linear inequality?

Back

An inequality that involves a linear expression, which can be graphed as a line on a coordinate plane.

Front

What does it mean to graph a linear inequality?

Back

To shade the region of the graph that satisfies the inequality, indicating all possible solutions.

Front

What is a system of inequalities?

Back

A set of two or more inequalities with the same variables, where the solution is the region where all inequalities overlap.