GA Milestones Review 8 Math Unit 4 Vocab

A consistent system of equations is one that:

• Has no solutions

• Has exactly one solution only

• Has infinite solutions only

• Has at least one solution

If two lines are perpendicular, their slopes are:

• the same

• negative reciprocals

• equal to zero

• equal but with opposite signs

The elimination method is used to solve a system of equations by:

• Adding or subtracting equations to remove one variable

• Replacing one variable with an expression

• Multiplying both equations by the same number

• Graphing the equations

A system of simultaneous equations consists of:

• One equation with one variable

• Multiple equations solved together

• A single equation with two variables

• Equations that never have a solution

An inconsistent system of equations has:

• No solutions

• One solution

• Infinite Solutions

• Intersection point

The solution to a system of equations represents:

• Any random number that satisfies one equation

• The equation that has a higher degree

• The intersection point(s) of the equations

• The value of only one variable

A system of equations has infinitely many solutions when:

• The equations represent the same line

• The lines are parallel

• There is exactly one solution

• The system is inconsistent

The substitution method is used to solve a system of equations by:

• Adding the equations together

• Graphing the equations

• Expressing one variable in terms of another and substituting

• Multiplying both equations by the same number

Parallel lines have:

• Different slopes

• Slopes that are negative reciprocals

• No slopes at all

• The same slope

A system of linear equations consists of:

• At least one quadratic equation

• A set of linear equations solved together

• One linear equation with one variable

• Equations that never intersect