ISEE Lower Level Math : How to find the solution to an equation

Study concepts, example questions & explanations for ISEE Lower Level Math

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Example Questions

Example Question #141 : Algebraic Concepts

Solve for m in the following equation:

Possible Answers:

Correct answer:

Explanation:

To solve for m, we want m to stand alone.

So, in the equation

we want m to stand alone.  To do that, we need to move the .  To move , we need to cancel it out.  To cancel it out, we need to , or add 3.  If we add 3 on the left side of the equal sign, we need to add 3 on the right side of the equal sign.

So, we get

Example Question #142 : How To Find The Solution To An Equation

Solve for p in the following equation:

Possible Answers:

Correct answer:

Explanation:

To solve for p, we want p to stand alone.

So, in the equation

we want p to stand alone.  To do that, we need to move the .  To move it, we need to cancel it out.  To cancel it out, we need to  or subtract 2.  If we subtract 2 on the left side of the equal sign, we need to subtract 2 on the right side of the equal sign.  

So, we get

Example Question #142 : Algebraic Concepts

Solve for q in the following equation:

Possible Answers:

Correct answer:

Explanation:

To solve for q, we want q to stand alone.

So, in the equation

we need to move the  away from q.  To move it, we need to cancel it out.  To cancel it out, we need to , or subtract 1.

If we subtract 1 from the left side of the equal sign, we need to subtract 1 from the right side of the equal sign.  So,

Example Question #143 : Algebraic Concepts

Solve for m in the following equation:

Possible Answers:

Correct answer:

Explanation:

To solve for m, we want to get m to stand alone.

So, in the problem

we want to move .  To move it, we need to cancel it out.  To cancel it out, we need to  or add 9.  If we add 9 on the left side of the equal sign, we need to add 9 to the right side of the equal sign. So,

Example Question #141 : How To Find The Solution To An Equation

Solve for n in the following equation:

Possible Answers:

Correct answer:

Explanation:

To solve for n, we want to get n to stand alone. 

So, in the equation

we want to move the .  To do that, we need to cancel it out.  To cancel it out, we need to  or subtract 5.

If we subtract 5 on the left side of the equal sign, we need to subtract 5 on the right side of the equal sign.  So,

Example Question #146 : How To Find The Solution To An Equation

Solve for p in the following equation:

Possible Answers:

Correct answer:

Explanation:

To solve for p, we want p to stand alone. 

So, in the equation

we want to move the .  To move it, we want to cancel it.  To cancel it out, we need to  or add 3.

If we add 3 to the left side of the equal sign, we need to add 3 to the right side of the equal sign.

So,

Example Question #147 : How To Find The Solution To An Equation

Solve for p in the following equation:

Possible Answers:

Correct answer:

Explanation:

To solve for p, we want p to stand alone.  So, in the equation

we need to move the 2.  To move it, we need to cancel it.  Right now, 2 is being subtracted from p.  To cancel it out, we need to add 2.

If we add 2 to the left side of the equal sign, we need to add 2 to the right side of the equal sign.  So, we get

Example Question #148 : How To Find The Solution To An Equation

Solve for g in the following equation:

Possible Answers:

Correct answer:

Explanation:

To solve for g, we need g to stand alone.  So, in the equation

we need to move the 4.  To move it, we need to cancel it.  Right now, 4 is being added to g.  To cancel the 4, we need to subtract 4.

If we subtract 4 on the left side of the equal sign, we need to subtract 4 on the right side of the equal sign.  So, we get

Example Question #149 : How To Find The Solution To An Equation

Solve for k in the following equation:

Possible Answers:

Correct answer:

Explanation:

To solve for k, we want k to stand alone.  So, in the equation

we need to move the 2.  To move it, we need to cancel it.  Right now, k is being subtracted by 2.  To cancel it out, we need to add 2.  

If we add 2 to the left side of the equal sign, we need to add 2 to the right side of the equal sign.  So, we get

 

Example Question #150 : How To Find The Solution To An Equation

Solve for x in the following equation:

Possible Answers:

Correct answer:

Explanation:

To solve for x, we want x to stand alone.  So, in the equation

we want to move the 5.  To move it, we need to cancel it.  Right now, 5 is being added to x.  To cancel, we need to subtract 5. 

If we subtract 5 from the left side of the equal sign, we need to subtract 5 from the right side of the equal sign.  So, we get

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