6.4 Writing systems in context

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 set of values that satisfy all equations simultaneously.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Define variables in a system of equations.

Back

Variables in a system of equations represent unknown quantities that we aim to solve for, often denoted by letters such as x, y, t, or m.

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 at the same time.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

How do you represent the cost of items in a system of equations?

Back

You can represent the cost of items by defining variables for each item's cost and writing equations based on the total cost.

Front

What is the first step in writing a system of equations from a word problem?

Back

The first step is to identify the variables that represent the unknown quantities in the problem.

Tags

CCSS.8.EE.C.8C

Front

How do you write an equation for a total number of items?

Back

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CCSS.6.EE.B.6

Front

What is the equation for the total cost of items?

Back

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CCSS.HSA.CED.A.3

Front

How do you set up a system of equations for a restaurant bill problem?

Back

Define variables for each type of meal ordered, write an equation for the total number of meals, and another for the total cost.

Tags

CCSS.8.EE.C.8C

Front

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

Back

Coefficients represent the rate or cost associated with each variable in the equations.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

How do you interpret the solution of a system of equations?

Back

The solution represents the values of the variables that satisfy all equations, indicating the quantities of each item.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6