Front

What do the variables represent in a system of equations for a word problem?

Back

The variables represent the unknown quantities that we are trying to find, such as costs, ages, or amounts.

Tags

CCSS.8.EE.C.8C

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables that can be solved together.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

How do you set up a system of equations from a word problem?

Back

Identify the unknowns, define variables for them, and translate the relationships described in the problem into equations.

Tags

CCSS.HSA.CED.A.3

Front

What is the first step in solving a system of equations?

Back

The first step is to write the equations based on the information given in the problem.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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 is the substitution method in solving systems of equations?

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 in solving systems of equations?

Back

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

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

How can you check your solution for a system of equations?

Back

You can check your solution by substituting the values back into the original equations to see if they hold true.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is a word problem in mathematics?

Back

A word problem is a mathematical problem that is presented in the form of a narrative or real-life scenario.

Tags

CCSS.1.OA.A.1

Front

What is the importance of defining variables in word problems?

Back

Defining variables helps clarify what each unknown represents, making it easier to set up and solve equations.

Tags

CCSS.6.EE.B.6