Common Core: High School - Algebra : Solving an Equation Step-by-Step: CCSS.Math.Content.HSA-REI.A.1

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All Common Core: High School - Algebra Resources

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Example Questions

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Example Question #1 :Solving An Equation Step By Step: Ccss.Math.Content.Hsa Rei.A.1

Solve for.

Possible Answers:

Correct answer:

Explanation:

To solve for, first combine like terms.

On the left-hand side of the equation there are two terms that contain. Therefore, addandtogether.

Now, move theterm from the left-hand side to the right-hand side. To accomplish this, subtractfrom both sides.

_____________________

Next, to isolate, subtract the constant from the right-hand side of the equation to the left-hand side.

______________

Example Question #1 :Solving An Equation Step By Step: Ccss.Math.Content.Hsa Rei.A.1

Solve for.

Possible Answers:

Correct answer:

Explanation:

To solve for, first combine like terms.

On the left-hand side of the equation there are two terms that contain. Therefore, subtractfrom.

Now, move theterm from the left-hand side to the right-hand side. To accomplish this, subtractfrom both sides.

_____________________

Next, subtract the constant from the right-hand side of the equation to the left-hand side.

______________

Finally divide each side by three to solve for.

Example Question #451 :High School: Algebra

Solve for.

Possible Answers:

Correct answer:

Explanation:

To solve for, first combine like terms.

On the left-hand side of the equation there are two terms that contain. Therefore, addandtogether.

Now, move theterm from the left-hand side to the right-hand side. To accomplish this, subtractfrom both sides.

_____________________

Next, to isolate, subtract the constant from the right-hand side of the equation to the left-hand side.

______________

Example Question #1 :Reasoning With Equations & Inequalities

Solve for.

Possible Answers:

Correct answer:

Explanation:

To solve for, first combine like terms.

On the left-hand side of the equation there are two terms that contain. Therefore, addandtogether.

Now, move theterm from the left-hand side to the right-hand side. To accomplish this, subtractfrom both sides.

_____________________

Next, to isolate, subtract the constant from the right-hand side of the equation to the left-hand side.

______________

Example Question #5 :Solving An Equation Step By Step: Ccss.Math.Content.Hsa Rei.A.1

Solve for.

Possible Answers:

Correct answer:

Explanation:

To solve for, first combine like terms.

On the left-hand side of the equation there are two terms that contain. Therefore, addandtogether.

Now, move theterm from the left-hand side to the right-hand side. To accomplish this, subtractfrom both sides.

_____________________

Next, to isolate, subtract the constant from the right-hand side of the equation to the left-hand side.

______________

Example Question #3 :Solving An Equation Step By Step: Ccss.Math.Content.Hsa Rei.A.1

Solve for.

Possible Answers:

Correct answer:

Explanation:

To solve for, first combine the like terms on the left-hand side of the equation.

Therefore, the equation becomes,

Now, move all the variables to the right-hand side of the equation by addingto both sides.

____________________

From here, subtract the constant on the right-hand side from both sides of the equation.

_______________

Lastly, divide by three on both sides of the equation to solve for.

Example Question #7 :Solving An Equation Step By Step: Ccss.Math.Content.Hsa Rei.A.1

Solve for.

Possible Answers:

Correct answer:

Explanation:

To solve for, first subtract one from both sides to combine the constant terms.

____________

From here, multiply by two on both sides to solve for.

The two in the numerator cancels the two in the denominator on the left-hand side of the equation; thus, isolating.

Example Question #4 :Solving An Equation Step By Step: Ccss.Math.Content.Hsa Rei.A.1

Solve for.

Possible Answers:

Correct answer:

Explanation:

To solve forfirst combine the constant terms by adding two to both sides of the equation.

_____________

From here, multiply each side of the equation by 3 to solve for.

三个分子消掉了三个我n the denominator on the left-hand side of the equation; thus, solving for.

Example Question #9 :Solving An Equation Step By Step: Ccss.Math.Content.Hsa Rei.A.1

Solve for.

Possible Answers:

Correct answer:

Explanation:

First, combine like terms on both sides of the equation.

On the left-hand side:

Thus the equation becomes,

Now, subtractfrom both sides.

__________________

Lastly, divide by negative one on both sides.

Example Question #10 :Solving An Equation Step By Step: Ccss.Math.Content.Hsa Rei.A.1

Solve for.

Possible Answers:

Correct answer:

Explanation:

First, subtractfrom both sides to get the variables on one side.

____________________

From here, add ten to both sides to get all constants on one side, and solve for.

_______________

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All Common Core: High School - Algebra Resources

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