Algebra II : Equations

Study concepts, example questions & explanations for Algebra II

varsity tutors app store varsity tutors android store

Example Questions

Example Question #81 : Equations

Set up the equation:  Two less than twenty times a number is four.

Possible Answers:

Correct answer:

Explanation:

Split up the sentence into parts.

Twenty times a number:   

Two less than twenty times a number:  

Is four:  

Combine the terms.

The answer is:  

Example Question #82 : Equations

Set up the following equation:   The sum of a number and twice the square of a number is eleven.

Possible Answers:

Correct answer:

Explanation:

Break up the sentence into parts.

Twice the square of a number:  

The sum of a number and twice the square of a number:  

Is eleven:  

Combine the parts to form the equation.

The answer is:  

Example Question #83 : Equations

Set up the following equation:  Ten less than three times the square root of a number is five.

Possible Answers:

Correct answer:

Explanation:

Split up the sentence into parts.

The square root of a number: 

Three times the square root of a number:  

Ten more less than three times the square root of a number:  

Is five:  

Combine the parts to form an equation.

The answer is:  

Example Question #84 : Equations

Set up the equation:  Five more than six times a number cubed is eight.

Possible Answers:

Correct answer:

Explanation:

Split up the sentence into parts.

Six times a number cubed:  

 Five more than six times a number cubed:  

Is eight:  

The answer is:  

Example Question #85 : Equations

Set up the following equation:  Eight times a number less than seven is equal to fifty six.

Possible Answers:

Correct answer:

Explanation:

Split up the sentence into parts.

Eight times a number:  

Eight times a number less than seven:  

Is fifty six:  

Combine the parts to form the equation.

The answer is:  

Example Question #86 : Equations

Set up the equation:  The product of the square of a number and four times another number is six.

Possible Answers:

Correct answer:

Explanation:

Break up the question into parts.

The square of a number:  

Four times another number:  

Is six:  

The product means to multiply the numbers together.

The answer is:  

Example Question #87 : Equations

Set up the equation:  Eight less than the cube root of a number squared is four.

Possible Answers:

Correct answer:

Explanation:

Break up the sentence into parts.

A number squared:  

The cube root of a number squared:  

Eight less than the cube root of a number squared:  

Is four:  

Set the two terms equal to form the equation.

The answer is:  

Example Question #88 : Equations

Set up the equation:  Eight less than four times a number is twenty.

Possible Answers:

Correct answer:

Explanation:

Split the sentence into parts.

Four times a number: 

Eight less than four times a number:  

Is twenty:  

Set the terms equal.

The answer is:  

Example Question #89 : Equations

Set up the equation:  Nine more than three times the cube of a number is four.

Possible Answers:

Correct answer:

Explanation:

Split the sentence into parts.

The cube of a number:  

Three times the cube of a number:  

Nine more than three times the cube of a number:  

Is four:  

Combine the parts to form the equation.

The answer is:  

Example Question #90 : Equations

Set up the equation:  Five less than a fifth of a number is three.

Possible Answers:

Correct answer:

Explanation:

Write each part of the sentence in separate terms.

A fifth of a number:  

Five less than a fifth of a number:   

Is three:  

Combine the parts to form an equation.

The answer is:  

Learning Tools by Varsity Tutors