Algebra 1 : Linear Equations

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #143 : How To Write Expressions And Equations

Write the equation:   Twice the quantity of a number less than sixteen is four.

Possible Answers:

Correct answer:

Explanation:

Break up the sentence into parts.

A number less than sixteen:  

Twice the quantity of a number less than sixteen:  

Is four:  

The equation is:  

Example Question #146 : How To Write Expressions And Equations

Write the following expression:  The difference of twice a number and the number squared.

Possible Answers:

Correct answer:

Explanation:

Break up the sentence by parts.

Twice a number:  

The number squared:  

The difference of twice a number and the number squared:  

The answer is:  

Example Question #143 : How To Write Expressions And Equations

Write the following expression:  Three less than a number squared.

Possible Answers:

Correct answer:

Explanation:

Split the question into parts.

A number squared:  

Three less than a number squared:  

The answer is:  

Example Question #141 : How To Write Expressions And Equations

Write the expression:  The sum of twice a number and fifty.

Possible Answers:

Correct answer:

Explanation:

Break up the sentence into parts.

Twice a number:  

The sum of twice a number and fifty:  

The answer is:  

Example Question #141 : How To Write Expressions And Equations

Write the equation:  The cube root of half the number is five.

Possible Answers:

Correct answer:

Explanation:

Split up the sentence into parts.

Half the number:  

The cube root of half the number:   

Is five:  

Combine the terms to form an equation.

The answer is:  

Example Question #1061 : Algebra 1

Write the expression:  A number squared less than two.

Possible Answers:

Correct answer:

Explanation:

Split the sentence into parts.

A number squared:  

A number squared less than two means that the number squared will be smaller than two.

Do not mix up expressions with equations or inequalities because expressions do not contain an equal sign.

The answer is:  

Example Question #151 : How To Write Expressions And Equations

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 #151 : How To Write Expressions And Equations

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 #151 : How To Write Expressions And Equations

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:  

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