Word Problems into Equations with variables on both sides

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 story, requiring the reader to extract relevant information and translate it into a mathematical equation.

Tags

CCSS.HSA.CED.A.1

Front

How do you identify variables in a word problem?

Back

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.

Tags

CCSS.6.EE.B.6

Front

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

Back

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.

Front

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

Back

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

Tags

CCSS.7.EE.B.4A

Front

What is the importance of translating words into mathematical symbols?

Back

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

Front

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

Back

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

Tags

CCSS.HSA.SSE.A.2

CCSS.7.EE.A.2

Front

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

Back

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

Tags

CCSS.1.OA.A.1

Front

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

Back

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.

Tags

CCSS.7.EE.B.4A

Front

What is the role of constants in word problems?

Back

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

Front

What strategies can be used to solve complex word problems?

Back

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