Solving system of equation word problems

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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 to the system is the set of values that satisfy all equations simultaneously.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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

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Identify the variables, translate the relationships and conditions described in the problem into equations, and ensure the equations reflect the problem's constraints.

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CCSS.HSA.CED.A.3

Front

What does it mean to solve a system of equations?

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

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What are the common methods for solving systems of equations?

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The common methods include substitution, elimination, and graphing.

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

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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

What is a word problem?

Back

A word problem is a mathematical problem that is presented in a narrative form, requiring interpretation and translation into mathematical expressions.

Front

How can you check if your solution to a system of equations is correct?

Back

You can check the 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 linear equation?

Back

A linear equation is an equation that represents a straight line when graphed, typically in the form ax + by = c, where a, b, and c are constants.

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CCSS.8.F.B.4

CCSS.HSF.LE.A.2

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What is the significance of the coefficients in a system of equations?

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The coefficients represent the relationship between the variables in the equations, indicating how much one variable changes in relation to another.

Tags

CCSS.HSA.REI.C.8