ISEE Middle Level Math : Algebraic Concepts

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

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Example Questions

Example Question #2695 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Solve for :

Possible Answers:

Correct answer:

Explanation:

To solve for the variable, perform opposite operations to manipulate the equation so that the variable is isolated on one side of the equation and all other constants are on the other side.

Subtract a negative 0.7 from both sides which is the same as adding 0.7.

Now, divide by negative four on each side.

Example Question #2696 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Solve for x in the following equation:

Possible Answers:

Correct answer:

Explanation:

To solve for x, we need to get x to stand alone or be by itself.

In the equation

we want x to stand alone.  So we need to move the .  The x is being divided by the .  To cancel out division, we need to multiply.  So we will multiply by .  If we multiply by  on the left side, we have to multiply by  on the right side.  So,

Example Question #2697 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Solve for a in the following equation:

Possible Answers:

Correct answer:

Explanation:

To solve for a, we want a to stand by itself.  In the equation

we need to move the 4 away from a.  To move it, we need to cancel it out.  Right now, the 4 is being multiplied by a. To cancel out multiplication, we need to divide.  

So, we will divide by 4.  If we divide by 4 on the left side of the equal sign, we need to divide by 4 on the right side of the equal sign. So,

Example Question #2698 : Isee Middle Level (Grades 7 8) Mathematics Achievement

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 need to move the 5 away from the x.  To move it, we need to cancel it out.  

Right now, the 5 is being multiplied by the x.  To cancel out multiplication, we will divide.  

If we divide by 5 on the left side of the equal sign, we need to divide by 5 on the right side of the equal sign.  We get

Example Question #2701 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Solve for b in the following equation:

Possible Answers:

Correct answer:

Explanation:

To solve for b, we need to get b to stand alone.

So, in the equation

we we need to move the 7 away from b.  To move the b away, we need to cancel it out.  We can see b is divided by 7.  To cancel out division, we need to multiply. 

If we multiply by 7 on the left side of the equal sign, we must multiply by 7 on the right side of the equal sign. So,

Example Question #2702 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Solve for f in the following equation:

Possible Answers:

Correct answer:

Explanation:

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

In the equation:

we want f to be alone.  Right now, f is divided by 6.  So, we need to move the 6.  To do that, we need to cancel it out.  To cancel out division, we need to multiply by 6.  

If we multiply by 6 on the left side of the equal sign, we need to multiply by 6 on the right side of the equal sign.

So, we get

Example Question #581 : Algebraic Concepts

Solve for s in the following equation:

Possible Answers:

Correct answer:

Explanation:

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

So, in the equation

we want s to stand alone.  Right now, s is being multiplied by 8.  So, we need to move the 8.  To move it, we need to cancel it out.  To cancel out multiplication, we need to divide by 8.

If 

Example Question #382 : 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 6.  To move it, we need to cancel it out.  Right now, the x is being multiplied by 6.  So, to cancel it out, we need to divide by 6.  If we divide by 6 on the left side of the equal sign, we need to divide by 6 on the right side of the equal sign. So,

Example Question #2704 : Isee Middle Level (Grades 7 8) Mathematics Achievement

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 8.  To move it, we need to cancel it out.  Right now, x is being multiplied by 8.  So, if we want to cancel it out, we need to divide by 8.

If we divide by 8 on the left side of the equal sign, we need to divide by 8 on the right side of the equal sign. So,

Example Question #384 : 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, in the equation

we want to move the 6.  To move it, we need to cancel it out.  Right now, z is being divided by 6.  So, to cancel it out, we need to multiply by 6.  

If we multiply by 6 on the left side of the equal sign, we need to multiply by 6 on the right side of the equal sign.  So,

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