### All Common Core: High School - Algebra Resources

## Example Questions

### Example Question #1 : Reasoning With Equations & Inequalities

Solve for .

**Possible Answers:**

**Correct answer:**

To solve for , first combine like terms.

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

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

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

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### Example Question #2 : Reasoning With Equations & Inequalities

Solve for .

**Possible Answers:**

**Correct answer:**

To solve for , first combine like terms.

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

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

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

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Finally divide each side by three to solve for .

### Example Question #3 : Reasoning With Equations & Inequalities

Solve for .

**Possible Answers:**

**Correct answer:**

To solve for , first combine like terms.

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

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

_____________________

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

______________

### Example Question #4 : Reasoning With Equations & Inequalities

Solve for .

**Possible Answers:**

**Correct answer:**

To solve for , first combine like terms.

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

_____________________

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

______________

### Example Question #5 : Reasoning With Equations & Inequalities

Solve for .

**Possible Answers:**

**Correct answer:**

To solve for , first combine like terms.

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### Example Question #6 : Reasoning With Equations & Inequalities

Solve for .

**Possible Answers:**

**Correct answer:**

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 adding to both sides.

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

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

### Example Question #7 : Reasoning With Equations & Inequalities

Solve for .

**Possible Answers:**

**Correct answer:**

To solve for , first combine like terms by subtracting from both sides.

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Now, combine the constant terms. Add two to both sides of the equation.

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From here, divide by four to solve for .

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

Solve for .

**Possible Answers:**

**Correct answer:**

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

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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 #9 : Reasoning With Equations & Inequalities

Solve for .

**Possible Answers:**

**Correct answer:**

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

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

The three in the numerator cancels out the three in the denominator on the left-hand side of the equation; thus, solving for .

### Example Question #10 : Reasoning With Equations & Inequalities

Solve for .

**Possible Answers:**

**Correct answer:**

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

On the left-hand side:

Thus the equation becomes,

Now, subtract from both sides.

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Lastly, divide by negative one on both sides.