Algebra 1 : How to write expressions and equations

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #111 : How To Write Expressions And Equations

Express the sum of  and  is .

Possible Answers:

Correct answer:

Explanation:

Take every word and translate into math. Sum means addition. Is means equal. So, we have  as our answer. 

Example Question #112 : How To Write Expressions And Equations

Express the difference of  and  is  times .

Possible Answers:

Correct answer:

Explanation:

Take every word and translate into math. Difference means subtraction. So then we have . Is means equal. Then, times indicates multiplication. So we multiply  and  to get . Putting it together, we get .

Example Question #1022 : Algebra 1

Express the product of  and  that is  less than 

Possible Answers:

Correct answer:

Explanation:

Take every word and translate into math. Product indicates multiplication. So we multiply  and  to get . Is means equal. .  less than means that you need to subtract  to something. That something is  so just combine them to have an expression of .  Putting it together, we get .

Example Question #114 : How To Write Expressions And Equations

Express  less than  as the sum of  and 

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 . Is means equal. Sum means addition. So, we have . Finally, putting it together we have .

Example Question #115 : How To Write Expressions And Equations

Simplify the expression:  Twice the quantity of six more than twice a number.

Possible Answers:

Correct answer:

Explanation:

Split the statement into parts.  Let the number be .

Six more than twice a number is:  

Twice the quantity of six more than twice a number would mean:

To simplify, distribute the two into both terms inside the parentheses.

Example Question #116 : How To Write Expressions And Equations

Write the equation: .

Possible Answers:

 

Correct answer:

Explanation:

To write this equation, first split up the statement.  Let  be the unknown number.

Quantity of a number less than six:  

Twice the quantity of a number less than six:  

Is six: 

Combine the terms.

The answer is:  

Example Question #117 : How To Write Expressions And Equations

Write the equation:  Two more than three times a number is twenty four.

Possible Answers:

Correct answer:

Explanation:

Split the statement into parts.  Let  be a number.

Three times a number:  

Two more than three times a number: 

Is 24:  

Combine the terms for the equation.

The answer is:  

Example Question #118 : How To Write Expressions And Equations

Write the equation:  One more than three times a number is two.

Possible Answers:

Correct answer:

Explanation:

Break up the sentence into parts.  Let the unknown number be .

Three times a number:  

One more than three times a number:  

Is two: 

Combine the terms to get an equation.

The answer is:  

Example Question #113 : How To Write Expressions And Equations

Write the expression:  Six less than twice a number.

Possible Answers:

Correct answer:

Explanation:

Break up the problem statement into parts:

Twice a number:  

Six less than twice a number:  

The answer is:  

Example Question #114 : How To Write Expressions And Equations

Write the expression:  Six less than a twice a number.

Possible Answers:

Correct answer:

Explanation:

To write the expression, break up the statement into parts.  Let a variable be the number.

Twice a number:  

Six less than a twice a number: 

The answer is:  

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