Word Problems into Equations with variables on both sides

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What is a word problem in mathematics?

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A word problem is a mathematical problem that is presented in the form of a narrative or story, requiring the reader to extract relevant information and translate it into a mathematical equation.

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CCSS.HSA.CED.A.1

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How do you identify variables in a word problem?

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Variables in a word problem are typically represented by letters and are used to denote unknown quantities that need to be solved for. They can often be identified by keywords that indicate a change or a relationship.

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CCSS.6.EE.B.6

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What does it mean to have variables on both sides of an equation?

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Having variables on both sides of an equation means that the unknowns are present in more than one location within the equation, requiring manipulation to isolate the variable.

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What is the first step in solving a word problem that leads to an equation?

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The first step is to read the problem carefully, identify the relevant information, and determine what is being asked.

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CCSS.7.EE.B.4A

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What is the importance of translating words into mathematical symbols?

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Translating words into mathematical symbols is crucial because it allows the problem to be expressed in a form that can be manipulated and solved using mathematical operations.

Tags

CCSS.HSA-SSE.A.1A

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What are some common keywords that indicate addition in word problems?

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Common keywords that indicate addition include 'sum', 'total', 'increased by', and 'more than'.

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CCSS.7.EE.A.2

CCSS.HSA.SSE.A.2

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What are some common keywords that indicate subtraction in word problems?

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Common keywords that indicate subtraction include 'difference', 'less than', 'decreased by', and 'fewer than'.

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CCSS.1.OA.A.1

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How can you check if your solution to a word problem is correct?

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You can check your solution by substituting your answer back into the original equation or context of the problem to see if it satisfies the conditions given.

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CCSS.7.EE.B.4A

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What is the role of constants in word problems?

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Constants are fixed values that do not change and are often used in word problems to represent known quantities that help in forming equations.

Tags

CCSS.7.EE.B.4A

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What strategies can be used to solve complex word problems?

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Strategies include breaking the problem down into smaller parts, drawing diagrams, creating tables, and writing equations step by step.