Fast Track Equations Review

Front

What is a system of equations?

Back

A set of two or more equations with the same variables. Solutions are the points where the equations intersect.

Front

What does it mean to solve a system 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 an inequality?

Back

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

Front

How do you graph a system of inequalities?

Back

Graph each inequality on the same coordinate plane and identify the region where the solutions overlap.

Front

What does the absolute value notation |x - a| ≤ b represent?

Back

It represents the set of values x that are within a distance b from a point a on the number line.

Front

What is the solution set for the inequality 3 ≤ 6 - x < 12?

Back

The solution set is -6 < x ≤ 3.

Front

What does it mean if a system of equations has an infinite number of solutions?

Back

It means that the equations represent the same line, and every point on that line is a solution.

Front

What is the significance of the solution (5, -6) in a system of equations?

Back

It is the point where the two equations intersect, meaning it satisfies both equations.

Front

How do you isolate a variable in an inequality?

Back

Use inverse operations to get the variable on one side of the inequality sign.

Front

What is the solution to the inequality 4(2x - 1) > -7 + 2x?

Back

The solution is x > -1/2.