### All Algebra 1 Resources

## Example Questions

### Example Question #31 : How To Solve Two Step Equations

Solve for :

**Possible Answers:**

The equation has no solution.

**Correct answer:**

### Example Question #31 : How To Solve Two Step Equations

Solve for .

**Possible Answers:**

**Correct answer:**

Notice that can be canceled out by subtracting it from both sides.

Now, we can isolate . First, we need to get all the variables on the same side by adding to each side.

Subtract from both sides.

Finally, multiply both sides by .

### Example Question #562 : Algebra 1

Solve for :

**Possible Answers:**

The equation has no solution.

**Correct answer:**

The equation has no solution.

This statement is identically false, so the original equation has no solution.

### Example Question #32 : How To Solve Two Step Equations

Solve for :

**Possible Answers:**

**Correct answer:**

### Example Question #561 : Algebra 1

Solve for :

**Possible Answers:**

**Correct answer:**

### Example Question #561 : Linear Equations

Solve for :

**Possible Answers:**

**Correct answer:**

### Example Question #566 : Algebra 1

Solve for :

**Possible Answers:**

The solution set is the set of all real numbers.

**Correct answer:**

The solution set is the set of all real numbers.

This statement is identically true; therefore, the solution set is the set of all real numbers.

### Example Question #38 : How To Solve Two Step Equations

Call the three angles of a triangle . The measure of is twenty degrees more than that of ; the measure of is forty degrees less than twice that of . What is the greatest measure of any of the three angles of the triangle?

**Possible Answers:**

**Correct answer:**

Call the measure of . Since the measure of is twenty degrees more than that of , we can say that has measure . Since the measure of is forty degrees less than twice that of , we can say that has measure .

The sum of the measures of the three angles of a triangle is 180, so we can set up and solve an equation that sets the sum of these three expressions equal to 180:

Substitute 50 for in the other two expressions:

The triangle has angles measuring , so the answer to the question is .

### Example Question #571 : Algebra 1

Solve for :

**Possible Answers:**

**Correct answer:**

### Example Question #31 : How To Solve Two Step Equations

Find the value of in the following linear equation and select the correct answer from the choices listed below.

**Possible Answers:**

**Correct answer:**

Solve equation by using inverse order of operations to get by itself.

Order of operations: PEMDAS. Addition and subtraction usually come last, so when using inverse order of operations to "undo an expression," they come first. 8 is being added to , so subtract 8 from both sides in order to get alone.

Next comes multiplication/division. is being multiplied by 2, so divide both sides by 2 to get on its own.