One-Step Equations with Decimals

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Pre-Algebra › One-Step Equations with Decimals

Questions 1 - 10
1

Solve:

Explanation

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.

2

Solve for .

Explanation

Divide both sides by . The denominator has less decimal places than the numerator so we just shift one decimal place for top and bottom: .

3

Explanation

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

4

Solve for

Explanation

Subtract both sides by .

5

Solve for .

Explanation

Divide both sides by . Both decimals each have one decimal place so the expression becomes: .

6

Solve for .

Explanation

Divide both sides by . Both decimals each have one decimal place so the expression becomes: .

7

Solve for .

Explanation

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 one place to the left to get a decimal of .

8

Solve:

Explanation

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,

.

9

Solve:

Explanation

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.

10

Evaluate:

Explanation

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.

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,

.

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