Algebra 1 : How to solve one-step equations

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #411 : How To Solve One Step Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

 Multiply  on both sides. When multiplying with a negative number, our answer is positive.

Example Question #412 : How To Solve One Step Equations

Solve the following for x:

Possible Answers:

Correct answer:

Explanation:

To solve one step equations, simply isolate x. This means "undoing" whatever was done on the left hand side so you are just left with x. Therefore, we must multiply both sides by 3.

Another way to think about this problem is that x divided by 3 is really like one-third times x. So, you can just multiply byt the reciprocal of one-third to eliminate it, which is 3.

 

Example Question #413 : How To Solve One Step Equations

Solve:  

Possible Answers:

Correct answer:

Explanation:

Divide by nine on both sides to isolate the variable.

Simplify both sides.

The answer is .

 

Example Question #414 : How To Solve One Step Equations

Solve:  

Possible Answers:

Correct answer:

Explanation:

To solve for the x-value, add  on both sides of the equation.

Simplify both sides.  Be careful when adding the decimals.  Add the tenths place to the tenths place and the hundredths place with the hundredths place.

The answer is:  

Example Question #415 : How To Solve One Step Equations

Solve the following equation:  

Possible Answers:

Correct answer:

Explanation:

In order to isolate the variable, we need to subtract three on both sides.

Simplify both sides.

The answer is:  

Example Question #416 : How To Solve One Step Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

 Subtract  on both sides.

Example Question #417 : How To Solve One Step Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

 Subtract  on both sides. Since  is greater than  and is negative, our answer is negative. We treat as a normal subtraction.

Example Question #418 : How To Solve One Step Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

 Subtract  on both sides. When adding with another negative number, just treat as an addition problem and then add a negative sign in front.

Example Question #419 : How To Solve One Step Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

 Add  on both sides.

Example Question #420 : How To Solve One Step Equations

Solve:  

Possible Answers:

Correct answer:

Explanation:

To solve for x, divide both sides by negative eleven.

Simplify both sides.  The number  is not divisible by eleven.

The answer is:  

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