All ISEE Middle Level Math Resources
Example Questions
Example Question #1 : Apply Properties Of Operations To Expand Linear Expressions With Rational Coefficients: Ccss.Math.Content.7.Ee.A.1
If is added to of another number, the result is . What is the other number?
The first step is to translate the words, "if is added to of another number, the result is ," into an equation. This gives us:
Subtract from each side.
Multiply each side by .
Therefore, is the correct answer.
Example Question #34 : How To Add Variables
Jack has a collection of coins. He gives Brett most of his collection, such that Brett now has twice as many coins as Jack. If there are 36 coins in the collection, how many coins does Jack now have?
If Jack has a collection of 36 coins and gives Brett most of his collection, such that Brett now has twice as many coins as Jack, this problem can be solved by dividing the total into 3 equal parts, giving 2 of the parts to Brett and one of the parts to Jack
: this is Jack's part
: this is Brett's part
Example Question #34 : How To Add Variables
If , what is the value of ?
In solving for the first step is to substitute for , given that .
Next, the parentheses are solved for.
This simplifies to , the correct answer.
Example Question #2 : Apply Properties Of Operations To Expand Linear Expressions With Rational Coefficients: Ccss.Math.Content.7.Ee.A.1
Simplify the following expression:
Cannot be computed
When adding and subtracting variable, you can only combine like variables.
That means all of the variables are solved separately from the variables.
Then you just add and subtract the constants normally so and .
So the final answer is .
Example Question #124 : Ssat Middle Level Quantitative (Math)
Simplify:
Begin by distributing the to its entire group:
Next, group the like terms:
Finally, combine the like terms:
Example Question #31 : How To Add Variables
When adding variables, we must add all of the like variables together but then combine them into one singular value at the end. True or False
False
True
False
When adding variables, it is true that you must first add all of the like variables. But then they are left separate to have an expression with the different variables differentiated.
Example Question #3 : Apply Properties Of Operations To Expand Linear Expressions With Rational Coefficients: Ccss.Math.Content.7.Ee.A.1
Simplify the followng:
When adding variables together, you must first make sure you are combining the same variable. So, in this case
we can see that both terms contain the variable a. Therefore, we can combine them.
Now, when we combine them, we can think of the variables as objects. So, we can say were are combining an apple and 4 apples together. So,
We can simplify our problem the same way.
Example Question #31 : How To Add Variables
Combine the following variables:
Combine the following variables:
First, group the like terms. This means we will put terms with the same exponent next to each other. This will make it easier to be sure we are adding correctly.
Next, add the coefficients, but keep the exponents the same. Only combine terms with the same exponents. Notice that we have three different exponents (6,5 and 2) This means we will have three terms in our final answer.
So we get the following:
Example Question #181 : Variables
Simplify the following:
To add variables, we will think of the variables as objects. So, in the problem
let's think of the variable x as books. So, we can look at the problem as we currently have 3 books. We go to the library and borrow 7 more books. How many books do we have now? The answer is 10. We now have 10 books.
We can add the variables in the same way. So,
Example Question #33 : How To Add Variables
Simplify the following:
To add variables, we will look at the variables as objects. So,
we can look at it as the following. We have 6 dollars. We do all of our chores, and we get 4 more dollars. How many dollars do we have now? We now have 10 dollars. We add variables in the same way. So