### All Pre-Algebra Resources

## Example Questions

### Example Question #51 : One Step Equations With Decimals

Solve:

**Possible Answers:**

**Correct answer:**

In order to solve the equation, we have to isolate the variable. We do this by performing the same operation to either side of the equation.

Divide both sides by to isolate the variable.

Decimals may be written as fractions.

Dividing by a fraction is the same as multiplying by its reciprocal:

Therefore,

.

### Example Question #52 : One Step Equations With Decimals

Solve:

**Possible Answers:**

**Correct answer:**

In order to solve the equation, we have to isolate the variable. We do this by performing the same operation to either side of the equation.

Divide on both sides to isolate the unknown variable.

Decimals may be written as fractions.

Dividing by a fraction is the same as multiplying by its reciprocal:

### Example Question #52 : One Step Equations With Decimals

Solve:

**Possible Answers:**

**Correct answer:**

In order to solve the equation, we have to isolate the variable. We do this by performing the same operation to either side of the equation.

To solve for , divide both sides by

Decimals may be written as fractions.

Dividing by a fraction is the same as multiplying by its reciprocal:

Substitute and solve.

The six in the numerator and in the denominator cancel out and we are left with the final answer,

.

### Example Question #54 : One Step Equations With Decimals

Solve:

**Possible Answers:**

**Correct answer:**

In order to solve for , subtract from both sides.

### Example Question #55 : One Step Equations With Decimals

Evaluate:

**Possible Answers:**

**Correct answer:**

Solve by dividing on both sides of the equation. Move the decimal two places to the right.

Now factor the numerator to find values that can cancel out.

The nine in the numerator and denominator reduce to one and we are left with our final answer,

.

### Example Question #56 : One Step Equations With Decimals

Solve:

**Possible Answers:**

**Correct answer:**

Divide on both sides of the equation.

### Example Question #57 : One Step Equations With Decimals

Solve:

**Possible Answers:**

**Correct answer:**

Divide by on both sides of the equation.

Decimals may be written as fractions.

Dividing by a fraction is the same as multiplying by its reciprocal:

Substitute and solve.

### Example Question #58 : One Step Equations With Decimals

Solve:

**Possible Answers:**

**Correct answer:**

Add on both sides of the equation.

### Example Question #59 : One Step Equations With Decimals

Solve:

**Possible Answers:**

**Correct answer:**

To isolate the variable, divide both sides by .

Decimals may be written as fractions.

Dividing by a fraction is the same as multiplying by its reciprocal:

Now factor the numerator to find like terms that can reduce.

The six in the numerator and denominator reduce to one and the final solution becomes,

.

### Example Question #60 : One Step Equations With Decimals

Solve:

**Possible Answers:**

**Correct answer:**

Solve by dividing both sides by 2.

The fraction on the right side of the equation can be rewritten as:

Dividing by two is also similar to multiplying by one half.

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