Algebra 1 : Linear Equations

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #122 : How To Write Expressions And 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 #123 : How To Write Expressions And 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 #122 : How To Write Expressions And 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 #125 : How To Write Expressions And 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 : Algebra 1

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 : Algebra 1

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:  

Example Question #131 : How To Write Expressions And Equations

Write the expression:  Sixteen less than a number squared.

Possible Answers:

Correct answer:

Explanation:

Separate the sentence into parts.

A number squared:  

Sixteen less than a number squared:  

Note that the number 16 is subtract from  if 16 is less than the number.

The answer is:  

Example Question #132 : How To Write Expressions And Equations

Write as a variable expression:

Nine multiplied by the sum of a number and two thirds.

Possible Answers:

Correct answer:

Explanation:

"The sum of a number and two thirds" is the result of adding  and :

Nine multiplied by this, remembering to use parentheses to override the precedence of multiplication, is:

 

Example Question #1041 : Algebra 1

Write as a variable expression:

Twenty added to the product of seven tenths and a number

Possible Answers:

 

Correct answer:

 

Explanation:

"The product of seven tenths and a number" is the result of multiplying  and :

.

"Twenty added to" this is 

Example Question #131 : How To Write Expressions And Equations

Which of the following English-language expressions can be rewritten as the algebraic expression   ?

Possible Answers:

Two thirds multiplied by the difference of seven and a number

Two thirds subtracted from the product of a number and seven

None of the other responses is correct

Two thirds multiplied by the difference of a number and seven

The product of a number and seven, subtracted from two thirds

Correct answer:

Two thirds multiplied by the difference of a number and seven

Explanation:

 is two thirds multiplied by , which is the difference of a number and seven. Putting this together, this expression is stated as:

"Two thirds multiplied by the difference of a number and seven"

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