
Translate the statement to an algebraic expression: 5 more than t.
Answer
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Hint: The idea behind correct deciphering of word problems is correct understanding of the words used in the question. Both literally and mathematically. “More than” implies that something is greater than something in a literal sense. In mathematics, “a” is “more than” “b”, would be written as $a > b$. Here even the verb, “is” plays an important role in the formation of the mathematical expression. For example, “a is more than b” means $a > b$ and “a more than b” means $a + b$.
Complete step-by-step solution:
Let us hover over the statement in the question that we need to translate into an algebraic expression and critically analyze it. “5 more than t”, has one variable called “t” and another constant, “5”.
The word connecting these two are “more than”. This would mathematically mean addition of 5 to “t”.
As a whole, the algebraic expression of the question statement will be, $5 + t$.
Therefore the final answer is $5 + t$.
Note: An expression built up from integer constants, variables, and the algebraic operations, namely addition, subtraction, multiplication and division make an algebraic expression. As an example, is an algebraic expression. Since taking the root is the same as an exponent (power), it is also called an algebraic expression. Again, in literal sense, it can include variables, constants, and operating symbols, like plus and minus signs. It's only a phrase, not the full sentence, so it doesn't include an equal sign.
Complete step-by-step solution:
Let us hover over the statement in the question that we need to translate into an algebraic expression and critically analyze it. “5 more than t”, has one variable called “t” and another constant, “5”.
The word connecting these two are “more than”. This would mathematically mean addition of 5 to “t”.
As a whole, the algebraic expression of the question statement will be, $5 + t$.
Therefore the final answer is $5 + t$.
Note: An expression built up from integer constants, variables, and the algebraic operations, namely addition, subtraction, multiplication and division make an algebraic expression. As an example, is an algebraic expression. Since taking the root is the same as an exponent (power), it is also called an algebraic expression. Again, in literal sense, it can include variables, constants, and operating symbols, like plus and minus signs. It's only a phrase, not the full sentence, so it doesn't include an equal sign.
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