ISEE Middle Level Math : How to add variables

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

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Example Questions

Example Question #41 : How To Add Variables

Combine the following:

Possible Answers:

Correct answer:

Explanation:

To add variables, we will look at the variables like objects.  So in the problem

we will think of a as being apples.  So we can read this problem as

So, if we have 3 apples, and we go to the market and we buy 6 more apples, how many apples do we now have?

 

We add variables the same way.  So,

We can look at this as we have 3 of something, we want to add 6 more somethings, so how many do we have now?

Example Question #42 : How To Add Variables

Add the following:

Possible Answers:

Correct answer:

Explanation:

In the problem

we will first insert a coefficient on the second term.  When a variable stands alone, it has a coefficient of 1.  So,

When adding variables, we can look at the variables as objects, then combine those objects.

Now, we can think of the variable a as cars. So, we can look at it as

We can think of it like this:  If we see 5 cars pass by us on the road, and we see 1 more car pass us, how many cars have passed us?  The answer is 6.  There were 6 cars that passed us.  So,

 

We add variables the same way.

Example Question #43 : How To Add Variables

Add the following:

Possible Answers:

Correct answer:

Explanation:

When adding variables, we can look at the variables as objects.  So, in the problem

we can think of x as books.  So, we can write it like this

 

We can think of it like this.  We have 4 books and we borrow 2 more books.  How many books have we borrowed?  

We have borrowed 6 books.  

 

We can add variables the same way.

 

Example Question #44 : How To Add Variables

Add the following:

Possible Answers:

Correct answer:

Explanation:

When adding variables, we can look at the variables as objects.

So, in the problem

we can think of the variable a as apples.  So, we can write it like

We can think of the problem like this:  We have 2 apples, and we go to the store and buy 3 more apples.  How many apples do we have now?  We have 5 apples.  So, we can solve it like

 

We add variables the same way.  So,

Example Question #45 : How To Add Variables

Combine the following:

Possible Answers:

Correct answer:

Explanation:

To add variables, we will look at the variables like objects. So, in the problem

we can think of the variable a as airplanes.  So, we can write it like this:

We can think of the problem like this:  We are outside and we see 5 airplanes in the sky.  Throughout the day, we see 6 more airplanes.  How many airplanes do we see all day?  We see 11 airplanes.  So,

 

We add variables the same way.

Example Question #46 : How To Add Variables

Combine the following:

Possible Answers:

Correct answer:

Explanation:

To add variables, we can think of the variables like objects.  So, in the problem

we can think of the variable s as snakes.  So, we can write it like this:

We can think of it like this:  We are at the zoo.  We see 2 snakes in a pit.  We walk a little more, and we see 8 more snakes.  How many snakes have we seen at the zoo?  We have seen 10 snakes.  So,

 

We add variables the same way:

Example Question #47 : How To Add Variables

Combine the following:

Possible Answers:

Correct answer:

Explanation:

To add variables, we will look at the variables like they are objects.  So, in the problem

we can think of b as books.  So, we can write it like this:

We can think of the problem like this:  You have borrowed 2 books from the library.  You go back, and you borrow 7 more books.  How many total books have you borrowed?  You have borrowed a total of 9 books.  So,

 

We add variables the same way.  We get

Example Question #48 : How To Add Variables

Combine the following:

Possible Answers:

Correct answer:

Explanation:

When combining variables, we can think of the variables as objects. So, in the problem

we can think of the variable m as movies.  So, we can write it like this:

We can read it like this:  We have 2 movies.  We go to the store, and we buy 3 more movies.  How many movies do we have now?  We have 5 movies.  So,

 

We add variables the same way.

Example Question #49 : How To Add Variables

Combine the following:

Possible Answers:

Correct answer:

Explanation:

To add variables, we will look at the variables like they are objects. So, in the problem

we can think of the variable b as books.  So, we can write the problem as

So, we can read the problem like this:  We have borrowed 2 books from the library.  We go back to the library and borrow 5 more books.  How many total books have we borrowed from the library?  We have borrowed 7 books.  So,

 

We add variables the same way.

Example Question #50 : How To Add Variables

Combine the following:

Possible Answers:

Correct answer:

Explanation:

To add variables, we will look at the variables like objects. 

So, in the problem

we can think of the variable p as potatoes.  So, we can write it like

We can read the problem like this:  We go to the store to buy 5 potatoes.  We realize we need more, so we buy 5 more potatoes.  How many potatoes did we buy in total?  We bought 10 potatoes.  So,

 

We can add variables the same way.

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