Math Lab - Systems Quiz

What is the first step to solving a system using the substitution method?

• Isolate one variable
• Multiply an equation by a number
• Look for opposites
• Graph both equations

What is the first step when solving a system by graphing?

• Put both equations in slope intercept form
• Solve for x
• Multiply the equations by a number
• Get rid of fractions

What is the first step when solving a system by elimination (or linear combinations)?

• add the equations together
• look for opposites and multiply an equation by a number to get opposites
• isolate one variable
• put both equations in slope-intercept form

Rearrange the equation so that it is in standard form.
-2x=-10y-2

• 10y-2x=-2
• -10y-2x=2
• -10y+2x=-2
• 10y+2x=2

Solve the equation for x.
-x+8y=5

• x=-8y+5
• x=-8y-5
• x=8y-5
• x=8y+5

Solve the equation for y.
3x-y=5

• y=-3x+5
• y=3x+5
• y=3x-5
• y=-3x-5

Solve the system using any method.
3x-y=5
2x+7y=-12

• (1, 2)
• (1, -2)
• no solution
• infinitely many solutions

Solve the system using any method.
-2x+10y=-2
-x+8y=5

• (-11, 2)
• (11, 2)
• no solution
• infinitely many solutions

Solve the system using any method.
6x+2y=2
-3x-4y=-13

• (-1, 4)
• (1, -4)
• no solution
• infinitely many solutions

How many solutions does the system have?
y=3x-28
y=3x+28

• no solutions
• one solution
• two solutions
• infinitely many solutions