Systems of Equations

When does a system of linear equations have no solutions?

• one is a vertical line

• perpendicular lines

• parallel lines

• same lines

How can we tell if two lines are parallel?

• different y-intercept

• same y-intercept

• different slope

• same slope

A solution to a system of equations with two variables is a point that...

• satisfies all equations in the system

• satisfies only one equation in the system

• has numbers that show up in each of the equation in the system

• has numbers that show up in one of the equations in the system

When writing your own system of equations for a word problem, what do the labels with "each" or "per" indicate for a quantity? (mpg, km/h, dollars per day)

• that it is a starting value (y-intercept)

• that it is a rate of change (slope)

• that it is a total (y)

• that it is an input (x)

When a word problem for systems of equations has two quantities, each with their own value, which form for linear equations would work best? (e.g. roses worth $4.75 and tulips worth $4.25)

• point-slope form

• slope-intercept form

• standard form

• x-intercept form

• (2,3)

• (3,2)

• (-2,-3)

• (-3,-2)

• (3,2)

• (2,3)

• (0,4)

• (4,0)

• (2,3)

• (3,2)

• (3,3)

• (2,2)

• (1,1)

• (0,0)

• (5,5)

• (-1,-1)

• -1

• 9

• 1

• -9