### All Common Core: 8th Grade Math Resources

## Example Questions

### Example Question #1 : Linear Equations

Solve for :

**Possible Answers:**

**Correct answer:**

can be simplified to become

Then, you can further simplify by adding 5 and to both sides to get .

Then, you can divide both sides by 5 to get .

### Example Question #1 : How To Find The Solution To An Equation

Solve for :

**Possible Answers:**

**Correct answer:**

To solve for , you must first combine the 's on the right side of the equation. This will give you .

Then, subtract and from both sides of the equation to get .

Finally, divide both sides by to get the solution .

### Example Question #1 : Solve Linear Equations With Rational Number Coefficients: Ccss.Math.Content.8.Ee.C.7b

Solve for :

**Possible Answers:**

**Correct answer:**

First, combine like terms within the equation to get

.

Then, add and subtract from both sides to get

.

Finally, divide both sides by to get the solution of .

### Example Question #11 : How To Find The Solution To An Equation

Solve for .

**Possible Answers:**

Cannot be determined

**Correct answer:**

Subtract x from both sides of the second equation.

Divide both sides by to get .

Plug in y to the other equation.

Divide 10 by 5 to eliminate the fraction, yielding .

Distribute the 2 to get .

Add to each side, and subtract 15 from each side to get .

Divide both sides by 7 to get , which simplifies to .

### Example Question #4 : Linear Equations

Solve for :

**Possible Answers:**

**Correct answer:**

Combine like terms on the left side of the equation:

Use the distributive property to simplify the right side of the equation:

Next, move the 's to one side and the integers to the other side:

### Example Question #3 : Solve Linear Equations With Rational Number Coefficients: Ccss.Math.Content.8.Ee.C.7b

Solve for :

**Possible Answers:**

**Correct answer:**

First. combine like terms to get

.

Then, add and subtract from both sides to separate the terms.

This gives you .

Finally, divide both sides by to get a solution of .

### Example Question #1 : Solve Linear Equations With Rational Number Coefficients: Ccss.Math.Content.8.Ee.C.7b

Solve for :

**Possible Answers:**

None of the other answers

**Correct answer:**

First, you must multiply the left side of the equation using the distributive property.

This gives you .

Next, subtract from both sides to get .

Then, divide both sides by to get .

### Example Question #5 : Solve Linear Equations With Rational Number Coefficients: Ccss.Math.Content.8.Ee.C.7b

Solve for

**Possible Answers:**

**Correct answer:**

In order to solve for , we need to isolate the to one side of the equation.

For this problem, we need to multiply each side by

Next, we need to subtract from each side:

### Example Question #6 : Solve Linear Equations With Rational Number Coefficients: Ccss.Math.Content.8.Ee.C.7b

Solve for

**Possible Answers:**

**Correct answer:**

In order to solve for , we need to isolate the to one side of the equation.

For this problem, we need to multiply each side by

Next, we need to subtract from each side:

### Example Question #7 : Solve Linear Equations With Rational Number Coefficients: Ccss.Math.Content.8.Ee.C.7b

Solve for

**Possible Answers:**

**Correct answer:**

In order to solve for , we need to isolate the to one side of the equation.

For this problem, we need to multiply each side by

Next, we need to combine like terms, so we subtract from both sides:

Finally, we can divide by both sides: