ISEE Lower Level Math : Algebraic Concepts

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

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Example Questions

Example Question #131 : How To Find The Solution To An Equation

John has 10 more apples than twice the amount of apples that Amy has. If Amy has 15 apples, how many apples does John have?

Possible Answers:

John has 25 apples.

There is not enough information to solve this problem.

John has 10 apples.

John has 20 apples.

John has 40 apples.

Correct answer:

John has 40 apples.

Explanation:

First we have to figure out what twice the amount of Amy's apples would be, so we multiple 15 by 2, which is 30.

John then has 10 more apples than this, so we add 30 and 10 and are left with 40 apples.

Example Question #132 : Algebraic Concepts

Solve for a in the following equation:

Possible Answers:

Correct answer:

Explanation:

To solve for a, we want to get a to stand alone or to be by itself.  Given the equation

we  want a to stand alone.  To do that, we need to move the .  To move or to cancel the  we need to , or add 9.  If we add 9 to the left side of the equal sign, we must add 9 to the right side of the equal sign.  So,

Example Question #131 : Equations

Solve for x in the following equation:

Possible Answers:

Correct answer:

Explanation:

To solve for x, we want to get x to stand alone or to be by itself.  So, in the equation

to get x to stand alone, we need to do something with .  To cancel it out, we will , or subtract 12. If we subtract 12 from the left side of the equal sign, we must subtract 12 from the right side of the equal sign.  So,

Example Question #903 : Isee Lower Level (Grades 5 6) Mathematics Achievement

Solve for b in the following equation:

Possible Answers:

Correct answer:

Explanation:

To solve for b, we want b to stand alone or be by itself. So, in the equation

we want b to stand alone.  To do that, we need to move the .  To move it, we need to cancel it out. To cancel 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 #132 : Equations

Solve for x in the following equation:

Possible Answers:

Correct answer:

Explanation:

To solve for x in the equation, we want x to stand alone or be by itself.  

In the equation

we want x to be alone. To get x alone, we need to move the .  To move the , 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 have to subtract 1 from the right  side of the equal sign.

So,

Example Question #135 : Algebraic Concepts

Solve for a in the following equation:

Possible Answers:

Correct answer:

Explanation:

To solve for a in the equation, we want a to stand alone or be by itself.  

In the equation

we want a to be alone. To get a alone, we need to move the .  To move the , we need to cancel it out.  To cancel it out, we need to  or add 5. If we add 5 to the left side of the equal sign, we have to add 5 to the right  side of the equal sign.

So,

Example Question #133 : Equations

Solve for x in the following equation:

Possible Answers:

Correct answer:

Explanation:

To solve for x, we want x to stand alone or be by itself.  In the equation,

we need x to be alone.  To do that, we need to move the .  To move it, we need to cancel it out.  To cancel out , we need to  or add 4.  If we add 4 to the left side of the equal sign, we need to add 4 to the right side of the equal sign.  So,

Example Question #134 : Equations

Solve for a in the following equation:

Possible Answers:

Correct answer:

Explanation:

To solve for a, we must get a to stand alone or be by itself. So, in the equation,

we must have a stand alone.  To do that, we need to move the .  To move it, we need to cancel it out.  To cancel out , we will  or subtract 3.  If we subtract 3 on the left side of the equal sign, we must subtract 3 from the right side of the equal sign.  So,

Example Question #905 : Isee Lower Level (Grades 5 6) Mathematics Achievement

Solve for y in the following equation:

Possible Answers:

Correct answer:

Explanation:

To solve for y, we want to get y to stand by itself.  So, in the equation

we want to move the .  To move it, we need to cancel it out.  To cancel out , we need to  or subtract 6. 

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

Example Question #906 : Isee Lower Level (Grades 5 6) Mathematics Achievement

Solve for g in the following equation:

Possible Answers:

Correct answer:

Explanation:

To solve for g, we want to get g to stand by itself.  So, in the equation

we want to move the .  To move it, we need to cancel it out.  To cancel out , we need to  or add 5. 

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

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