Baker Foundations of Math 1 Exam Review 1

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 on a graph.

Front

How do you solve for a variable in an equation?

Back

Isolate the variable on one side of the equation using inverse operations.

Front

What is a solution to a system of inequalities?

Back

A pair of values that satisfies all inequalities in the system, often represented as a shaded region on a graph.

Front

What does the graph of an inequality represent?

Back

It shows all the possible solutions that satisfy the inequality, typically shaded on one side of the boundary line.

Front

What is the difference between a linear equation and a linear inequality?

Back

A linear equation has an equal sign and represents a straight line, while a linear inequality uses inequality signs and represents a region.

Front

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

Back

Front

How do you find the slope of a line given two points?

Back

Front

What is the significance of the y-intercept in a graph?

Back

Front

What does it mean for a system of equations to be consistent?

Back

A consistent system has at least one solution, meaning the lines intersect at one or more points.

Front

What is the graphical representation of a linear inequality?

Back

It is represented by a boundary line (solid for inclusive, dashed for exclusive) and a shaded region indicating the solution set.