Algebra 1 : How to solve one-step equations

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #301 : How To Solve One Step Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

To solve this equation we will need to isolate the variable on one side of the equation with all other constants on the other side. To isolate the variable perform opposite operations to manipulate the equation.

Subtract  on both sides.

Example Question #302 : How To Solve One Step Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

To solve this equation we will need to isolate the variable on one side of the equation with all other constants on the other side. To isolate the variable perform opposite operations to manipulate the equation.

 

Subtract  on both sides. Since  is greater than  and is negative, our answer is negative.

We treat as a normal subtraction.

Example Question #303 : How To Solve One Step Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

To solve this equation we will need to isolate the variable on one side of the equation with all other constants on the other side. To isolate the variable perform opposite operations to manipulate the equation.

 

Subtract  on both sides. When adding two negative numbers, we treat as addition but add the minus sign at the end.

Example Question #304 : How To Solve One Step Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

To solve this equation we will need to isolate the variable on one side of the equation with all other constants on the other side. To isolate the variable perform opposite operations to manipulate the equation.

 

Add  on both sides.

Example Question #305 : How To Solve One Step Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

To solve this equation we will need to isolate the variable on one side of the equation with all other constants on the other side. To isolate the variable perform opposite operations to manipulate the equation.

 

Add  on both sides. Since  is greater than  and is positive, our answer is positive.

We treat as a subtraction problem.

Example Question #306 : How To Solve One Step Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

To solve this equation we will need to isolate the variable on one side of the equation with all other constants on the other side. To isolate the variable perform opposite operations to manipulate the equation.

 

Add  on both sides. Since  is greater than  and is negative, our answer is negative.

We treat as a normal subtraction.

Example Question #307 : How To Solve One Step Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

To solve this equation we will need to isolate the variable on one side of the equation with all other constants on the other side. To isolate the variable perform opposite operations to manipulate the equation.

 

Divide  on both sides.

Example Question #308 : How To Solve One Step Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

To solve this equation we will need to isolate the variable on one side of the equation with all other constants on the other side. To isolate the variable perform opposite operations to manipulate the equation.

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

Example Question #309 : How To Solve One Step Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

To solve this equation we will need to isolate the variable on one side of the equation with all other constants on the other side. To isolate the variable perform opposite operations to manipulate the equation.

 

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

Example Question #310 : How To Solve One Step Equations

Solve for .

 

Possible Answers:

Correct answer:

Explanation:

To solve this equation we will need to isolate the variable on one side of the equation with all other constants on the other side. To isolate the variable perform opposite operations to manipulate the equation.

 

Multiply  on both sides.

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