Algebra 1 : How to write expressions and equations

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #1061 : Algebra 1

If  and , evaluate .

Possible Answers:

Correct answer:

Explanation:

Substitute the known variables into the expression.

Simplify the right side by distribution.

The answer is:  

Example Question #1062 : Algebra 1

Write the following in an expression where  is the number:

A number four more than six.

Possible Answers:

Correct answer:

Explanation:

This problem states that a number, , is 4 more than 6. 

More indicates that you need to add 4 to the 6 that is already there. Mathematically, this looks like:

Example Question #1063 : Algebra 1

Write the following expression in mathematical terms.

A number, , is 5 more than twice another number, .

Possible Answers:

Correct answer:

Explanation:

When solving these problems, it is beneficial to break down what the question is asking of you.

The first part says that "a number,  is 5 more..."

the word "is" is indicative of an equals sign. Thus, we know that  and 5 are on opposite sides of the equation. So far, we have:

However the rest of the sentence says "...than twice another number, " which indicates that you need to multiply  as well as adding 5 to it.

So the final answer is:

Example Question #1064 : Algebra 1

Write the following expression:  Sixteen more than the square of twice a number.

Possible Answers:

Correct answer:

Explanation:

Break up the sentence into parts.

Twice a number:  

The square of twice a number:  

Sixteen more than the square of twice a number:  

The answer is:  

Example Question #151 : How To Write Expressions And Equations

Write the expression:  Sixteen less than twice a number.

Possible Answers:

Correct answer:

Explanation:

Split the statement into parts.

Twice a number:  

Sixteen less than twice a number:  

The answer is:  

Example Question #152 : How To Write Expressions And Equations

Write the equation: Six more than twice the square of a number.

Possible Answers:

Correct answer:

Explanation:

Split the sentence into parts.

The square of a number:

Twice the square of a number:

Six more than twice the square of a number: 

The answer is: 

Example Question #153 : How To Write Expressions And Equations

Write the equation:  A number more than the square root of twice that number is four.

Possible Answers:

Correct answer:

Explanation:

Let that number be represented as .

Break down the sentence into parts.

The square root of twice that number:  

A number more than the square root of twice that number: 

Is four:  

Combine the terms to form an equation.

The answer is:  

Example Question #154 : How To Write Expressions And Equations

Write the expression:  Sixty more than twice a number squared.

Possible Answers:

Correct answer:

Explanation:

Break the sentence into parts.

A number squared:  

Twice a number squared:  

Sixty more than twice a number squared:  

The answer is:  

Example Question #155 : How To Write Expressions And Equations

Write the expression: Forty less than five times a number.

Possible Answers:

Correct answer:

Explanation:

Break up the sentence into parts.

Five times a number: 

Forty less than five times a number:

The answer is:

Example Question #156 : How To Write Expressions And Equations

Write the expression:   Four less than twice a number cubed.

Possible Answers:

Correct answer:

Explanation:

Break up the sentence into parts.

A number cubed:  

Twice a number cubed:  

Four less than twice a number cubed:  

The answer is:  

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