Pre-Algebra : One-Step Equations with Decimals

Study concepts, example questions & explanations for Pre-Algebra

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Example Questions

Example Question #1 : One Step Equations With Decimals

Solve for :

Possible Answers:

Correct answer:

Explanation:

The goal is to isolate the variable on one side.

Divide each side by :

Example Question #2 : One Step Equations With Decimals

Solve for :

Possible Answers:

Correct answer:

Explanation:

The goal is to isolate the variable on one side.

Divide each side by :

Example Question #3 : One Step Equations With Decimals

Solve for :

Possible Answers:

Correct answer:

Explanation:

Example Question #4 : One Step Equations With Decimals

Solve for :

Possible Answers:

Correct answer:

Explanation:

Subtract 1.75 from both sides of the equation:

Example Question #5 : One Step Equations With Decimals

Solve for :

Possible Answers:

Correct answer:

Explanation:

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

Example Question #5 : One Step Equations With Decimals

Solve for :

Possible Answers:

Correct answer:

Explanation:

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:

Example Question #5 : One Step Equations With Decimals

Solve for :

Possible Answers:

Correct answer:

Explanation:

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:

Example Question #6 : One Step Equations With Decimals

Solve for :

Possible Answers:

Correct answer:

Explanation:

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:

Example Question #6 : One Step Equations With Decimals

Solve for :

Possible Answers:

Correct answer:

Explanation:

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:

Example Question #6 : One Step Equations With Decimals

Solve for :

Possible Answers:

Correct answer:

Explanation:

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:

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