Algebra EOC Review 2

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

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

Back

A point is a solution to a system of equations if it satisfies all equations in the system.

Front

How do you determine if a point is a solution to a system of equations?

Back

Substitute the x and y values of the point into each equation. If all equations are true, the point is a solution.

Front

What is the graphical representation of a system of equations?

Back

The graphical representation is the intersection of the lines represented by the equations on a coordinate plane.

Front

What does it mean for two lines to intersect?

Back

Two lines intersect at a point if they have different slopes and meet at that point.

Front

Back

The solution is the point (1, 3).

Front

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

Back

Front

How can you write a system of equations from a word problem?

Back

Identify the variables, translate the relationships into equations, and ensure the equations represent the same situation.

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, representing the value of y when x = 0.

Front

What does it mean if two lines are parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.