Algebra 1 : How to write expressions and equations

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #61 : How To Write Expressions And Equations

Express four times the sum of  and .

Possible Answers:

Correct answer:

Explanation:

Take every word and translate into math.

Sum is addition.

Our sum is basically  and  or .

The we multiply  with our sum to get .

Example Question #62 : How To Write Expressions And Equations

Express the difference between quotient of  and  and  times .

Possible Answers:

Correct answer:

Explanation:

Take every word and translate into math. 

Quotient indicates division. So we have  listed first being the numerator and  listed last being the denominator.

Our expression so far is .

Then we have  times  which is the same as .

Then it asks for the difference of the two as our final anwer is .

Example Question #63 : How To Write Expressions And Equations

Express nine raised to the  power.

Possible Answers:

Correct answer:

Explanation:

Take every word and translate into math.

Raised to a power deals with exponents.

So our answer is .

Example Question #64 : How To Write Expressions And Equations

Express three is greater than or equal to sum of  and eighteen.

Possible Answers:

Correct answer:

Explanation:

Take every word and translate into math.

Greater than or equal to denotes  symbol. 

Sum is addition.

Our sum is basically  and  or .

Our final answer is .

Example Question #981 : Algebra 1

Express fifteen less than .

Possible Answers:

Correct answer:

Explanation:

Take every word and translate into math. 

 less than means that you need to subtract  to something.

That something is  so just combine them to have an expression of 

 

Example Question #982 : Algebra 1

Express product of  and  is the difference between  and .

Possible Answers:

Correct answer:

Explanation:

Take every word and translate into math. Product indicates multiplication.

So we multiply  and  to get .

Is indicates equal something.

Difference is subtraction so we have .

Our final answer is .

Example Question #983 : Algebra 1

Translate the following sentence into an algebraic expression:

"The square root of the sum of 5 and twice an unknown number"

Possible Answers:

Correct answer:

Explanation:

In order to translate the above sentence into an algebraic expression, let's consider each part of the sentence:

"The square root of the sum of 5 and twice an unknown number"

"The square root of..." means that we are going to take the square root, , of the the expression that follows.

"The sum of ..." means that we're going to add one or more numbers to .

"Twice an unknown number" means that we're going to multiply  times an unknown number that, in this instance, we'll call . We can call this product .

 Putting all of the above together, we get .

Example Question #984 : Algebra 1

Translate the following sentence into an algebraic expression:

"Two-fifths times the reciprocal of an unknown number"

Possible Answers:

Correct answer:

Explanation:

In order to translate the above sentence into an algebraic expression, let's consider each part of the sentence:

"Two-fifths times the reciprocal of an unknown number"

"Two-fifths times..." means that we're going to take the product of  and everything that follows in the sentence.

"The reciprocal of an unknown number..." means that we divide  by an unknown number that we'll call 

 Putting all of the above together, we get  .

Example Question #985 : Algebra 1

Translate the following sentence into an algebraic expression:

"Nine plus the quotient of an unknown number and six"

Possible Answers:

None of the above

Correct answer:

Explanation:

In order to translate the above sentence into an algebraic expression, let's consider each part of the sentence:

"Nine plus the quotient of an unknown number and six"

"Nine plus..." means that we're going to take the sum of  and everything that follows in the sentence.

"The quotient of an unknown number and six" means the value we get when we divide an unknown number  by , or 

 Putting all of the above together, we get .

Example Question #986 : Algebra 1

Translate the following sentence into an algebraic expression:

"The difference between 7 and the quotient of an unknown number and 3"

Possible Answers:

Correct answer:

Explanation:

In order to translate the above sentence into an algebraic expression, let's consider each part of the sentence:

"The difference between 7 and the quotient of an unknown number and 3"

"The difference between 7 and..." means that we are subtracting the remainder of the expression from 7, or ...

"The quotient of an unknown number and 3" means that we are dividing an unknown number - let's call it  - by , or .

 

Putting all of the above together, we get .

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