# Algebra 1 : How to write expressions and equations

## Example Questions

### Example Question #141 : How To Write Expressions And Equations

Which of the following English-language sentences can be written as the equation ?

Seven subtracted from the product of a number and four yields the quotient of the number and six.

The product of a number and four subtracted from seven yields the quotient of the number and six.

The product of a number and four subtracted from seven yields the quotient of six and the number.

None of the other responses yields a correct answer.

Seven subtracted from the product of a number and four yields the quotient of six and the number.

Seven subtracted from the product of a number and four yields the quotient of the number and six.

Explanation:

Let be the unknown number in question.

is seven subtracted from , which in turn is the product of four and a number. Therefore, the expression can be written as "seven subtracted from the product of a number and four".

can be written as "the quotient of six and the number".

Therefore, can be written as "Seven subtracted from the product of a number and four yields the quotient of the number and six."

### Example Question #142 : How To Write Expressions And Equations

Write the expression:  Twice a number less than five.

Explanation:

Split the sentence into parts.  Let a variable be the unknown number.

Twice a number:

Twice a number less than five means that twice a number will be subtracted from five.

### Example Question #143 : How To Write Expressions And Equations

Write the following equation:  Five times the cube root of three times a number is six.

Explanation:

Split the sentence into parts:

Three times a number:

The cube root of three times a number:

Five times the cube root of three times a number:

Is six:

Combine the terms.

### Example Question #144 : How To Write Expressions And Equations

Write the expression:  Sixteen less than three times a number.

Explanation:

Break up the sentence into parts.

Three times a number:

Sixteen less than three times a number:

### Example Question #145 : How To Write Expressions And Equations

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

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.

Explanation:

Break up the sentence by parts.

Twice a number:

The number squared:

The difference of twice a number and the number squared:

### Example Question #147 : How To Write Expressions And Equations

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

Explanation:

Split the question into parts.

A number squared:

Three less than a number squared:

### Example Question #148 : How To Write Expressions And Equations

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

Explanation:

Break up the sentence into parts.

Twice a number:

The sum of twice a number and fifty:

### Example Question #149 : How To Write Expressions And Equations

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

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.

### Example Question #150 : How To Write Expressions And Equations

Write the expression:  A number squared less than two.