Systems of Equations Word Problems

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.HSA.REI.C.6

CCSS.8.EE.C.8B

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 satisfy all equations in the system simultaneously.

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

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 graphing method?

Back

The graphing method involves graphing each equation on the same coordinate plane and identifying the point(s) where they intersect.

Tags

CCSS.8.EE.C.8B

Front

What is a word problem in the context of systems of equations?

Back

A word problem is a mathematical problem that is presented in a narrative form, requiring the formulation of equations based on the given information.

Tags

CCSS.8.EE.C.8C

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 ensure the equations represent the same scenario.

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CCSS.HSA.CED.A.3

Front

What is a setup fee in a pricing problem?

Back

A setup fee is a fixed charge that is added to the total cost, regardless of the quantity purchased.

Tags

CCSS.8.EE.B.5

Front

How can you determine when two companies charge the same amount?

Back

Set the equations representing the total costs of each company equal to each other and solve for the variable representing quantity.

Tags

CCSS.8.EE.C.8C

Front

What does it mean for one quantity to be '4 times as many' as another?

Back

If one quantity is '4 times as many' as another, it can be expressed as y = 4x, where y is the larger quantity and x is the smaller quantity.

Tags

CCSS.6.EE.C.9