Translate: 71 decreased by Janelle's height is 21. Use the variable j to represent Janelle's height.
Understand the Problem
The question asks to translate the given sentence into an algebraic equation, using the variable 'j' to represent Janelle's height. The sentence states that 71 decreased by Janelle's height equals 21. Thus, we need to express this relationship in mathematical terms.
Answer
$71 - j = 21$
Answer for screen readers
$71 - j = 21$
Steps to Solve
- Represent Janelle's height with 'j'
The problem states to use the variable $j$ to represent Janelle's height.
- Translate "71 decreased by Janelle's height"
"Decreased by" means subtraction. So, "71 decreased by Janelle's height" translates to $71 - j$.
- Translate "is 21"
"Is" translates to the equals sign, so we have $ = 21$.
- Combine the parts into a full equation
Combining the expressions from steps 2 and 3, we get the full equation: $71 - j = 21$.
$71 - j = 21$
More Information
The equation $71 - j = 21$ represents the relationship described in the sentence. Solving for $j$ would give you Janelle's height.
Tips
A common mistake is to reverse the order of subtraction and write the equation as $j - 71 = 21$. It is important to carefully read the sentence to understand what is being subtracted from what. Another common mistake is to misinterpret "is" as an addition instead of an equals sign.
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