Algebra 1 : How to write expressions and equations

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #121 : How To Write Expressions And Equations

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

Possible Answers:

Correct answer:

Explanation:

Break up the statement into parts.  Let the number be a variable.

Twice a number:  

Six less than a twice a number:  

Is eight:  

Combine the parts.

The answer is:  

Example Question #122 : How To Write Expressions And Equations

Write the following equation:   A third of a number less than five is one.

Possible Answers:

 

Correct answer:

 

Explanation:

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

A third of a number:  

A third of a number less than five:  

Is one:  

Combine the known terms. 

The answer is:  

Example Question #123 : How To Write Expressions And Equations

Suzie is selling her designer clothes and shoes in order to raise money for a class trip she wants to go on. She decided that all designer jeans would be sold for  per pair, and her shoes would sell for  each. If Suzie sells 23 pairs of jeans and 6 pairs of shoes, how much money will she raise?

Possible Answers:

Correct answer:

Explanation:

In order to solve the problem, you need to create an algebraic equation. Use the variable x for the number of jeans Suzie will sell and y for the number of shoes. 

In algebra, words in a word problem often translate into mathematical terms. For instance the word is often means equals, or the word each usually indicates that you will need to multiply. As we read through the problem you will see that jeans cost  per pair and shoes are  each. Your equation should read like this:

You then need to substitute the amount of each item that she sold for the variable and solve the equation. 

Example Question #124 : How To Write Expressions And Equations

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

Possible Answers:

Correct answer:

Explanation:

Split up the statement into parts.

Five times a number:  

Two less than five times a number: 

The answer is:  

Example Question #1041 : Linear Equations

Write the equation:  Twice the difference of five and a number is two.

Possible Answers:

Correct answer:

Explanation:

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

The difference of five and a number:  

 Twice the difference of five and a number:  

Is two:  

Combine the parts to set up an equation.

The answer is:  

Example Question #1042 : Linear Equations

Write the equation:  Six less than five times a number is negative four.

Possible Answers:

Correct answer:

Explanation:

Break up the statement into parts.

Five times a number:  

Six less than five times a number: 

Is negative four:  

Combine the parts to create an equation.

The answer is:  

Example Question #1043 : Linear Equations

Write the equation:  Four is six less than eight times a number.

Possible Answers:

Correct answer:

Explanation:

Break up the sentence into parts.

Eight times a number:  

Six less than eight times a number:  

Four is six less than eight times a number:  

The answer is:  

Example Question #1044 : Linear Equations

Write the expression:  Six less than the cube root of a number.

Possible Answers:

Correct answer:

Explanation:

Solve by splitting the sentence into parts.

Cube root of a number:  

Six less than the cube root of a number:  

The answer is:  

Example Question #1045 : Linear Equations

Write the equation:  Four more than eight times a number is nine.

Possible Answers:

Correct answer:

Explanation:

Separate this sentence into parts.

Eight times a number:  

 Four more than eight times a number:  

Is nine:  

Combine the parts.

The answer is:  

Example Question #1046 : Linear Equations

Write the expression:  One ninth less than a fourth of a number.

Possible Answers:

Correct answer:

Explanation:

Separate the sentence into parts.

A fourth of a number:  

One ninth less than a fourth of a number:  

The answer is:  

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