Algebra 1 : How to write expressions and equations

Study concepts, example questions & explanations for Algebra 1

varsity tutors app store varsity tutors android store

Example Questions

1 2 9 10 11 12 13 14 15 17 Next →

Example Question #161 : How To Write Expressions And Equations

Write the expression:  Two times the difference of a number and forty.

Possible Answers:

Correct answer:

Explanation:

Split up the sentence.

The difference of a number and forty:  

Two times the difference of a number and forty:  

The two will multiply the quantity of the difference.

The answer is:  

Example Question #162 : How To Write Expressions And Equations

Write the expression and simplify to the most reduced form:  The sum of square root two and square root three.

Possible Answers:

Correct answer:

Explanation:

Write the values of square root two and square root three.

Square root two:  

Square root three:  

Sum these radicals.  Do not combine them as one whole!

The answer is:  

Example Question #163 : How To Write Expressions And Equations

Write the equation:  Eight less than a number squared is four.

Possible Answers:

Correct answer:

Explanation:

Break up the sentence into parts.

A number squared:  

Eight less than a number squared: 

Is four:  

Combine the parts to form the equation.

The answer is:  

Example Question #164 : How To Write Expressions And Equations

Write the equation: Half the quantity of a number less than four is nine.

Possible Answers:

Correct answer:

Explanation:

Break up the sentence into parts.

A number less than four:  

Half the quantity of a number less than four: 

Is nine: 

Combine the parts to form the equation.

The answer is: 

Example Question #165 : How To Write Expressions And Equations

Write the equation:  Fourteen more than thrice a number is fifteen.

Possible Answers:

Correct answer:

Explanation:

Split up the sentence into parts.

Thrice a number:  

Fourteen more than thrice a number:  

Is fifteen:  

Combine the terms to form an equation.

The answer is:  

Example Question #166 : How To Write Expressions And Equations

Write the equation:  Four times the quantity of four times a number is equal to six.

Possible Answers:

Correct answer:

Explanation:

Break up the statement into parts.

Four times a number:  

Four times the quantity of four times a number:  

Is equal to six:  

The answer is:  

Example Question #167 : How To Write Expressions And Equations

Write the equation:  Twelve more than six times the square of a number is negative four.

Possible Answers:

Correct answer:

Explanation:

Break up the question in parts.

The square of a number:  

Six times the square of a number:   

Twelve more than six times the square of a number:  

Is negative four:  

Combine the terms to form an equation.

The answer is:  

Example Question #168 : How To Write Expressions And Equations

Write the equation:  Five less than six times a number is twelve.

Possible Answers:

Correct answer:

Explanation:

Break up the sentence into parts.

Six times a number:  

Five less than six times a number:   

Is twelve:  

Combine the parts to form an equation.

The answer is:  

Example Question #169 : How To Write Expressions And Equations

Write the expression:  Six less than twice a number.

Possible Answers:

Correct answer:

Explanation:

To write the expression, split the sentence into parts.  An expression does not have an inequality or equal sign.

Twice a number:  

Six less than twice a number:  

The answer is:  

Example Question #161 : How To Write Expressions And Equations

Divide:

Answer must be in standard form.

Possible Answers:

Correct answer:

Explanation:

Multiply both the numerator and the denominator by the conjugate of the denominator which is  resulting in

This is equal to 

Since  you can make that substitution of  in place of  in both numerator and denominator, leaving:

 

When you then cancel the negatives in both numerator and denominator (remember that , simplifying each term), you're left with a denominator of  and a numerator of , which equals .

1 2 9 10 11 12 13 14 15 17 Next →
Learning Tools by Varsity Tutors