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Evaluate: when
Substitute
Use parentheses to show multiplication.
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Substitute. |
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Evaluate exponents. |
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Multiply. |
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Add. | 52 |
Our earlier work translating English to algebra also applies to phrases that include both positive and negative numbers.
Translate and simplify: the sum of 8 and increased by 3.
When we first introduced the operation symbols, we saw that the expression may be read in several ways. They are listed in the chart below.
minus
the difference of and subtracted from less than |
Be careful to get a and b in the right order!
Translate and then simplify ⓐ the difference of 13 and ⓑ subtract 24 from
Translate and simplify ⓐ the difference of 14 and ⓑ subtract 21 from
ⓐ ⓑ
Translate and simplify ⓐ the difference of 11 and ⓑ subtract 18 from
ⓐ ⓑ
Once again, our prior work translating English to algebra transfers to phrases that include both multiplying and dividing integers. Remember that the key word for multiplication is “ product ” and for division is “ quotient .”
Translate to an algebraic expression and simplify if possible: the product of and 14.
Translate to an algebraic expression and simplify if possible: the product of and 12.
Translate to an algebraic expression and simplify if possible: the product of 8 and
Translate to an algebraic expression and simplify if possible: the quotient of and
Translate to an algebraic expression and simplify if possible: the quotient of and
Translate to an algebraic expression and simplify if possible: the quotient of and
We’ll outline a plan to solve applications. It’s hard to find something if we don’t know what we’re looking for or what to call it! So when we solve an application, we first need to determine what the problem is asking us to find. Then we’ll write a phrase that gives the information to find it. We’ll translate the phrase into an expression and then simplify the expression to get the answer. Finally, we summarize the answer in a sentence to make sure it makes sense.
The temperature in Urbana, Illinois one morning was 11 degrees. By mid-afternoon, the temperature had dropped to degrees. What was the difference of the morning and afternoon temperatures?
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