Translate this phrase into an algebraic expression: 63 less than twice Matt's score. Use the variable m to represent Matt's score.
Understand the Problem
The question is asking to convert the phrase '63 less than twice Matt's score' into an algebraic expression using the variable m for Matt's score. We need to express this mathematically by first defining twice Matt's score as 2m, and then subtracting 63 from that expression.
Answer
\( 2m - 63 \)
Answer for screen readers
The algebraic expression is ( 2m - 63 ).
Steps to Solve
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Define Matt's Score Let ( m ) represent Matt's score.
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Calculate Twice Matt's Score Twice Matt's score is given by the expression: $$ 2m $$
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Subtract 63 Now, since we need to express "63 less than twice Matt's score", we subtract 63 from twice Matt's score: $$ 2m - 63 $$
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Form the Final Expression Thus, the algebraic expression representing "63 less than twice Matt's score" is: $$ 2m - 63 $$
The algebraic expression is ( 2m - 63 ).
More Information
This expression indicates that you first double Matt's score (which is represented by ( m )) and then subtract 63 from that result. This is a common way to translate phrases into algebraic expressions in mathematics.
Tips
- Misunderstanding phrases: Sometimes students may confuse "less than" with simple subtraction without properly ordering the operations.
- Ignoring the score: It's important to correctly identify what should be represented by the variable.
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