Algebra 1 : How to solve one-step equations

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #331 : Algebra 1

 of  is

Possible Answers:

Correct answer:

Explanation:

First convert the percent to a decimal. Just shift the decimal place two places to the left.  . Next, when we see of, it means multiplication.

 Remember to shift four decimal places to the left because of decimal placement.

Example Question #331 : Linear Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

 Subtract  on both sides.

Example Question #332 : Algebra 1

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 #333 : Algebra 1

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 #332 : Linear Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

 Add  to both sides.

Example Question #335 : Algebra 1

Solve for .

Possible Answers:

Correct answer:

Explanation:

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

Example Question #336 : Algebra 1

Solve:  

Possible Answers:

Correct answer:

Explanation:

In order to isolate the  variable, we need to divide by six on both sides.

This fraction can still be factored.  Write the factors of the numerator and denominator.

Cancel the threes.

The answer is:  

Example Question #337 : Algebra 1

Solve for .

Possible Answers:

Correct answer:

Explanation:

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

Example Question #333 : Linear Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

 Divide  on both sides.

Example Question #339 : Algebra 1

Solve for .

Possible Answers:

Correct answer:

Explanation:

 Divide  on both sides. When dividing with a positive number, our answer is negative.

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