Linear Equations with Independent and Dependent Variables

A system of equations that has exactly one solution

• independent system

• dependent system

• consistent system

a method of solving a system of equations in which one equation is solved for one variable in terms of the other

• substitution method

• elimination method

• replacement method

a consistent system of equations that has an infinite number of solutions

• dependent system

• independent system

• system of equations

eliminate one of the variables in a system of equations by adding or subtracting the equations

• elimination method

• substitution method

• linear programming

A phone company charges a base rate of $40 a month for service. The user is charged $0.20 a minute for every minute used. The total amount charge to the customer, p, for any number of minutes, m, can be represented by the function
p = .2m + 40.
What is the dependent variable?

• The # of minutes used

• The base rate of $40

• The total amount charged to the customer

• The $0.20 per minute

What is the dependent variable in the equation y = 3x - 2?

• y

• x

• -2

• 3x

Which is the dependent variable?

• x

• y

• -1/2

• 4

Which is the dependent variable?

• x

• y

• -1/2

• 4

A system of equations that has a least one solution is

• Consistent

• inconsistent

• dependent

• independent

A consistent system that has infinitely many solutions is

• dependent

• consistent

• independent

• inconsistent