Pre-Algebra : Algebraic Equations

Study concepts, example questions & explanations for Pre-Algebra

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Example Questions

Example Question #23 : One Step Equations With Decimals

Solve for 

Possible Answers:

Correct answer:

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 two places to the left to get a decimal of 

Example Question #24 : One Step Equations With Decimals

Solve for .

Possible Answers:

Correct answer:

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 places to the left to get a decimal of 

Example Question #25 : One Step Equations With Decimals

Solve for .

Possible Answers:

Correct answer:

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 . Since we are multiplying with negative numbers, we need to determine if the answer is negative. There is one negative number and that means the answer is negative. 

Example Question #26 : One Step Equations With Decimals

Solve for .

Possible Answers:

Correct answer:

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 

Example Question #27 : One Step Equations With Decimals

Solve for 

Possible Answers:

Correct answer:

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 two places to the left to get a decimal of . Since we are multiplying with negative numbers, we need to determine if the answer is negative. There are two negative numbers and that means the answer is positive. 

Example Question #28 : One Step Equations With Decimals

Solve for 

Possible Answers:

Correct answer:

Explanation:

 Subtract both sides by 

Example Question #29 : One Step Equations With Decimals

Solve for .

Possible Answers:

Correct answer:

Explanation:

 Subtract both sides by 

 Next, we divide both sides by . The left side will have two negatives cancel out to be a positive 

 

Example Question #30 : One Step Equations With Decimals

Solve for .

Possible Answers:

Correct answer:

Explanation:

 Add both sides by .  

Example Question #31 : One Step Equations With Decimals

Solve for .

Possible Answers:

Correct answer:

Explanation:

 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 #32 : One Step Equations With Decimals

Possible Answers:

Correct answer:

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 

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