Algebra II : Equations

Study concepts, example questions & explanations for Algebra II

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Example Questions

Example Question #61 : Solving Equations

Solve for x: 

Possible Answers:

Cannot be solved

Correct answer:

Explanation:

Subtract to move all x terms to the same side:

Factor out an x:

Divide to isolate x completely:

Example Question #71 : Solving Equations

Solve for x: 

Possible Answers:

Correct answer:

Explanation:

Square both sides to remove the radicals:

Combine x terms:

Combine x terms to one side by subtracting:

Isolate x completely:

 

 

Example Question #72 : Solving Equations

Find the solution to the following equation.

Possible Answers:

Correct answer:

Explanation:

Find the solution to the following equation.

To find the solution of this equation, we need to find the value for x, which makes the given equation true.

We do this by working backwards and manipulating the equation.

The easiest first step would probably be to subtract 23 from both sides:

By doing so, we can simplify the equation to get:

Next, simply divide both sides by 9 to get the answer!

So we get:

Example Question #2391 : Algebra Ii

Given the following equation, find the value of   

Possible Answers:

Correct answer:

Explanation:

Given the following equation, find the value of   

To find the value of , we first need to find the value of b

Let's begin by subtracting 12

Simplify

Finally, divide by 7

But, we need 

So:

 

Example Question #201 : Equations

Possible Answers:

None of these

Correct answer:

Explanation:

Add 9 to both sides:

Divide both sides by 27:

Example Question #201 : Equations

Possible Answers:

None of these

Correct answer:

Explanation:

Add 9 to both sides:

Divide both sides by 27:

Example Question #75 : Solving Equations

I sell bagels for  cents plus ten cents for the bag it comes in. How many bagels can u buy if you brought $?

Possible Answers:

Correct answer:

Explanation:

Let's set-up an equation. 

  represents the amount of bagels. After subtracting  on both sides and dividing by , our answer should be  bagels.

Example Question #2393 : Algebra Ii

Bob rides in a NYC taxi in which the opening fare is $. The taxi charges cents for every  of a mile. How far did Bob go if the fare costs $?

Possible Answers:

Correct answer:

Explanation:

Let's set-up an equation. 

  how many fifth miles the taxi charges. After subtracting  on both sides and dividing by , our answer should be . But of course, this is not the final answer because that's how many times the taxi charges for every fifth mile. So  miles.

Example Question #77 : Solving Equations

A gas tank holds  gallons. A car uses  of a gallon per mile. How many gallons is left if the person travelled  miles?

Possible Answers:

Correct answer:

Explanation:

Since the person has traveled   miles and each mile uses  gallon, we can determine how many gallons used.   gallons used. Since a tank holds  gallons, we subtract  and  to get  gallons. 

Example Question #211 : Equations

Josh weighs  pounds. He goes on a diet and loses  pounds every  days. How long does it take for him to drop to  pounds?

Possible Answers:

Correct answer:

Explanation:

Let's set-up an equation.

  represents how many times he lost the  pounds. By subtracting  on both sides and dividing by  later, we get . That's not our answer as he loses weight every five days. So we do  days. 

 

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