Algebra 1 : How to solve one-step equations

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #21 : Algebra 1

Solve for .

Possible Answers:

Correct answer:

Explanation:

To isolate , we just subtract  on both sides.

The left side will just  be

We have 

Example Question #22 : Algebra 1

Solve for .

Possible Answers:

Correct answer:

Explanation:

To isolate , we just add  on both sides.

The left side will just  be 

We have 

.

Example Question #21 : Algebra 1

Solve for .

Possible Answers:

Correct answer:

Explanation:

To isolate , we just subtract  on both sides. The left side will just  be . We have .

Remember, to deal with this strange subtraction, compare the values.  is greater than  and it's negative so the answer must be negative. We would proceed as a normal subtraction but later add the minus sign.

.

Example Question #24 : Algebra 1

Solve for .

Possible Answers:

Correct answer:

Explanation:

To isolate , we just add  on both sides. The left side will just  be . We have .

Remember, to deal with this strange addition, compare the values.  is greater than  and it's positie so the answer must be positive. We would proceed as a normal subtraction but later add the plus sign which is usually ignored.

.

Example Question #25 : Algebra 1

Solve for .

Possible Answers:

Correct answer:

Explanation:

To isolate , we just divide  on both sides.

The left side will just  be 

We have 

.

Example Question #26 : Algebra 1

Solve for .

Possible Answers:

Correct answer:

Explanation:

To isolate , we just divide  on both sides.

The left side will just  be 

We have 

 

Example Question #27 : Algebra 1

Solve for .

Possible Answers:

Correct answer:

Explanation:

To isolate , we just cross-multiply. 

We will have 

.

Example Question #28 : Algebra 1

Solve for .

Possible Answers:

Correct answer:

Explanation:

To isolate , we just cross-multiply. 

We will have 

.

We divide both sides by .

The left side is . The right side is 

Example Question #29 : Algebra 1

Solve for .

Possible Answers:

Correct answer:

Explanation:

To isolate , we just cross-multiply. 

 

We will have 

.

Example Question #30 : Algebra 1

Solve for .

Possible Answers:

Correct answer:

Explanation:

To isolate , first we add the right side which is .

Then, we add  on both sides.

The left we have .

On the right, we have 

.

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