One-Step Equations with Decimals - Pre-Algebra

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 two, the answer is positive.

The goal is to isolate the variable on one side.

Divide each side by :

The goal is to isolate the variable on one side.

Divide each side by :

Subtract 1.75 from both sides of the equation:

To isolate , we must divide both sides by .6:

The goal is to isolate the variable on one side.

The opposite operation of addition is subtraction so subtract 8.11 from each side:

Simplifying, we get the final solution:

The goal is to isolate the variable on one side.

The opposite operation of division is multiplication, therefore , multiply each side by 0.5:

The left hand side can be reduced by recalling that anything divided by itself is equal to 1:

The identity law of multiplication takes effect and we get the solution as:

The goal is to isolate the variable on one side.

The opposite operation of division is multiplication, therefore , multiply each side by 0.15:

The left hand side can be reduced by recalling that anything divided by itself is equal to 1:

The identity law of multiplication takes effect and we get the solution as:

The goal is to isolate the variable on one side.

The opposite operation of subtraction is addition so add 0.23 to each side:

Simplifying, we get the final solution:

The goal is to isolate the variable on one side.

The opposite operation of subtraction is addition so add 1.94 to each side:

Simplifying, we get the final solution:

The goal is to isolate the variable on one side.

The opposite operation of addition is subtraction so subtract 0.001 from each side:

Simplifying, we get the final solution:

Explanation:

The goal is to isolate the variable on one side.

Divide each side by :

Subtract both sides by . Remember, can also be written as

Subtract both sides by .

Subtract both sides by .

Subtract both sides by .

Add both sides by .

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