Systems of Equations Quiz

What is the first step in graphing a system of equations by hand?

• Solve for x in both equations

• Use a calculator to plot the points

• Put the equations in slope-intercept form

• Find the y-intercept of both equations

In the graphing method, what does the intersection point of the two lines represent?

• The y-intercept of the first line

• The midpoint of the two lines

• The solution to the system of equations

• The point where both lines have the same slope

When using substitution to solve a system of equations, what is the first step?

• Graph both equations

• Solve one equation for one variable

• Multiply both equations by a constant

• Add the equations together

What is the result of substituting the expression from one equation into the other in the substitution method?

• A single equation with one variable

• A new system of equations

• An inconsistent system

• The solution to the system

In the elimination method, what is the goal when manipulating the equations?

• To solve for x directly

• To graph the equations

• To eliminate one variable

• To find the y-intercept

What is the next step after eliminating one variable in the elimination method?

• Solve for the remaining variable

• Graph the remaining equation

• Substitute back into the original equations

• Multiply the equation by a constant

When solving a 3x3 system, what is the first variable you should try to eliminate?

• The variable with the smallest coefficient

• The variable that is easiest to eliminate

• The variable that appears in all equations

• The variable with the largest coefficient

What does it mean if a system of equations is inconsistent?

• It has a solution at the origin

• It has infinitely many solutions

• It has exactly one solution

• It has no solution

What type of lines represent a system with no solutions?

• Intersecting lines

• Coinciding lines

• Parallel lines

• Perpendicular lines

What does it mean if a system of equations has infinitely many solutions?

• The equations are inconsistent

• The equations have no y-intercept

• The equations are perpendicular

• The equations represent the same line