ISEE Lower Level Math : Algebraic Concepts

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

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Example Questions

Example Question #151 : Equations

Solve for a in the following equation:

Possible Answers:

Correct answer:

Explanation:

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

we will need to move the 6.  To move it, we need to cancel it.  Right now, 6 is being added to a.  To cancel it, we need to subtract 6.

If we subtract 6 from the left side of the equal sign, we need to subtract 6 from the right side of the equal sign.  So, we get

Example Question #152 : 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 want g to stand alone.  So, in the equation

we need to move the 6.  To move it, we need to cancel it.  Right now, 6 is being subtracted from g.  To cancel it out, we need to add 6.

If we add 6 to the left side of the equal sign, we need to add 6 to the right side of the equal sign.  So, we get

Example Question #151 : 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 1.  To move it, we need to cancel it.  Right now, 1 is being added to x.  To cancel it, we need to subtract 1.  

If we subtract 1 from the left side of the equation, we need to subtract 1 from the right side of the equation.  So, we get

Example Question #152 : How To Find The Solution To An Equation

Solve for j in the following equation:

Possible Answers:

Correct answer:

Explanation:

To solve for j, we want j to stand alone.  So, in the problem

we want to move the 7.  To move it, we need to cancel it.  Right now, j is being subtracted by 7.  So, to cancel it, we will need to add 7.  

If we add 7 on the left side of the equal sign, we need to add 7 on the right side of the equal sign.  So, we get

Example Question #151 : 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, we will solve by doing the following:

Example Question #152 : How To Find The Solution To An Equation

Which of the following answers makes this equation true:

Possible Answers:

Correct answer:

Explanation:

To see which answer is true, we will just solve for x.  We get

Example Question #155 : How To Find The Solution To An Equation

Which of the following make this equation true:

Possible Answers:

Correct answer:

Explanation:

To see which is true, we will solve for x.  So, given the equation

Example Question #156 : How To Find The Solution To An Equation

Solve for y in the following:

Possible Answers:

Correct answer:

Explanation:

To solve for y, we want y to stand alone.  So, we get

Example Question #157 : How To Find The Solution To An Equation

Which of the following makes this equation true:

Possible Answers:

Correct answer:

Explanation:

To answer the question, we will solve for y.  So, we get

 

 

Example Question #158 : How To Find The Solution To An Equation

Solve for z in the following equation:

Possible Answers:

Correct answer:

Explanation:

To solve for z, we want z to stand alone.  So, we get

 

 

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