Systems of Equations and Inequalities Review

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. The solution is the point(s) where the equations intersect.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What does it mean for an ordered pair to be a solution of a system of equations?

Back

An ordered pair (x, y) is a solution of a system of equations if it satisfies all equations in the system when substituted for x and y.

Front

How do you determine if an ordered pair is NOT a solution?

Back

To determine if an ordered pair is NOT a solution, substitute the values of the ordered pair into each equation. If it does not satisfy at least one equation, it is not a solution.

Front

What is the graphical representation of a linear equation?

Back

The graphical representation of a linear equation is a straight line on a coordinate plane, where each point on the line represents a solution to the equation.

Front

What is the difference between a system of equations and a system of inequalities?

Back

A system of equations consists of equations that are equal, while a system of inequalities consists of inequalities that define a range of possible solutions.

Tags

CCSS.8.EE.C.8C

Front

What does it mean to solve a system of equations?

Back

To solve a system of equations means to find the values of the variables that make all equations true simultaneously.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What are the common methods to solve systems of equations?

Back

Common methods include graphing, substitution, and elimination.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the substitution method?

Back

The substitution method involves solving one equation for one variable and then substituting that expression into the other equation.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the elimination method?

Back

The elimination method involves adding or subtracting equations to eliminate one variable, making it easier to solve for the remaining variable.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

How do you represent a word problem as a system of equations?

Back

Identify the variables, translate the relationships and conditions into equations, and write them as a system.

Tags

CCSS.HSA.CED.A.3