Math 1: Unit 3 ReTest

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

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 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

What is the substitution method in solving systems of equations?

Back

A method where you solve one equation for one variable and substitute that expression into the other equation.

Front

What is the elimination method in solving systems of equations?

Back

A method where you add or subtract equations to eliminate one variable, making it easier to solve for the other.

Front

What is the meaning of the solution (3, -7) in a system of equations?

Back

It means that when x = 3 and y = -7, both equations in the system are satisfied.

Front

What is the significance of the coefficients in a linear equation?

Back

Coefficients determine the slope of the line and how steep it is.

Front

How do you interpret 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 is a linear equation?

Back

An equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if their slopes are negative reciprocals of each other.