Writing Equations from Word Problems

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Questions and Answers

What is the first step when writing equations from word problems?

  • Write down the final answer immediately
  • Skip straight to solving the equation
  • Identify the variables and key math words (correct)
  • Look for similarities in other problems

What does CUBES refer to in the context of simplifying word problems?

  • A specific type of equation format
  • A process for breaking down the problem (correct)
  • A set formula for solving equations
  • A method of random guessing

When evaluating functions in function notation, how should you handle the variables in the equation?

  • Replace the variables with arbitrary symbols
  • Write additional equations for clarification
  • Ignore the variables entirely
  • Replace the variables with the provided numbers (correct)

Which component is not part of the CUBES process?

<p>Eliminate all irrelevant details (C)</p> Signup and view all the answers

In the function notation f(x)=2x+3, if x=4, what is f(4)?

<p>$11$ (C)</p> Signup and view all the answers

Flashcards

CUBES

A method for organizing information when solving word problems, focusing on circling key numbers, underlining important words, boxing the question, evaluating what information is given and necessary, and solving the problem.

Function

A representation of a relationship between an input value (x) and a corresponding output value. It's like a machine - you put something in (input), and it gives you something out (output).

Evaluating a function

The process of finding the output value of a function for a given input value. Replace the input variable with the provided value and simplify the expression.

Identifying Variables & Key Math Words in Word Problems

When creating mathematical equations from word problems, it's important to identify the unknown quantities (represented by variables) and the relationships between them. Look for words that indicate operations like addition, subtraction, multiplication, or division.

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Function Notation (f(x))

A symbolic way of writing a function, where the input value is enclosed in parentheses after the function name. For example, f(x) indicates a function 'f' with input 'x'.

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Study Notes

Writing Equations from Word Problems

  • Identify variables and key math words in word problems.
  • Use CUBES (a problem-solving process) to simplify word problems.

Evaluating Functions

  • Replace variables in function notation with given numbers.

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