### All Pre-Algebra Resources

## Example Questions

### Example Question #31 : One Step Equations With Decimals

Solve for .

**Possible Answers:**

**Correct answer:**

Add both sides by .

Since the left side is negative, we can divide both sides by . The left side will have two negatives cancel out to be a positive . .

### Example Question #31 : One Step Equations With Decimals

**Possible Answers:**

**Correct answer:**

Add both sides by . To determine the answer, let's compare values by ignoring signs. is greater than and that value is negative, so our answer is negative. We do subtraction to find the answer which is Since we want a negative answer, the final answer becomes

### Example Question #33 : One Step Equations With Decimals

Solve for .

**Possible Answers:**

**Correct answer:**

Subtract both sides by . We add the values up and put a negative sign in front it. We get .

Since the left side is negative and right side is negative, we can divide both sides by . The left side will have two negatives cancel out to be a positive while the same occurs on the right side.

### Example Question #34 : One Step Equations With Decimals

**Possible Answers:**

**Correct answer:**

Divide both sides by . Both decimals each have one decimal place so the expression becomes: . When dividing negative values, we count the number of negative values. Since there's one, the answer is negative.

### Example Question #35 : One Step Equations With Decimals

Solve for .

**Possible Answers:**

**Correct answer:**

Multiply both sides by . When multiplying decimals, first multiply normally and then count the number of decimal places in the problem. We have . So starting from the right, we shift three place to the left to get a decimal of .

### Example Question #36 : One Step Equations With Decimals

Solve for :

**Possible Answers:**

**Correct answer:**

Divide both sides by

### Example Question #31 : One Step Equations With Decimals

Solve the equation for x. Give your answer to three decimal places.

**Possible Answers:**

**Correct answer:**

Solve by isolating x on one side of the equation and collecting the decimal terms without variables on the other.

### Example Question #32 : One Step Equations With Decimals

Solve:

**Possible Answers:**

**Correct answer:**

To solve this equation, we will need to isolate the unknown variable. Subtract on both sides of the equation.

### Example Question #39 : One Step Equations With Decimals

Solve for :

**Possible Answers:**

**Correct answer:**

To solve for "x" means to get x by itself on one side of the equation.

To isolate x we perform the opposite mathematical operation that the equation calls for. This ensures that we cancel out one term which is needed to move towards our goal of getting x by itself.

Add to both sides:

The red terms cancel each other out and the right side is added as usual. The simplest way to add or subtract decimals is to align the decimal points and perform the indicated mathematical operation as you would with whole numbers.

### Example Question #33 : 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.

Therefore, divide both sides by to solve for the unknown variable.

Certified Tutor