Algebra 1 : Algebra 1

Study concepts, example questions & explanations for Algebra 1

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Example Questions

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 #1031 : Algebra 1

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 #1032 : Algebra 1

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:  

Example Question #1037 : Algebra 1

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 #1038 : Algebra 1

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 #1039 : Algebra 1

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 #1033 : Algebra 1

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:  

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