SSAT Middle Level Math : SSAT Middle Level Quantitative (Math)

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

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Example Questions

Example Question #51 : Variables

Annie ran  miles on Wednesday. She ran  more miles on Thursday than she did on Wednesday. On Friday, she ran a distance in miles that was  longer than the distance she ran on Wednesday. On Saturday, she ran a distance in miles that was  longer than the distance she ran on Thursday. What is the total number of miles that Annie ran, Wednesday through Saturday?

Possible Answers:

Correct answer:

Explanation:

On Wednesday, Annie ran  miles.

She ran  more miles on Thursday than she did on Wednesday. Therefore, she ran  miles on Thursday.

On Friday, she ran a distance in miles that was  longer than the distance she ran on Wednesday.  of  miles is  mile. (You can figure this out by realizing that since  of  is  and  is half of  of  must be half of , which is .) , so Annie ran  miles on Friday.

On Saturday, she ran a distance in miles that was  longer than the distance she ran on Thursday. of  is . , so Annie ran  miles on Saturday. 

The sum of these distances is equal to

Annie ran  miles in total Wednesday through Saturday.

Example Question #2281 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Bob and Anita drove cross country together. If Bob drove  miles on the trip, and Anita drove twice as many miles as Bob, how many miles total did they drive together?

Possible Answers:

Correct answer:

Explanation:

If Bob drove  miles, and Anita drove twice as many miles as Bob, then Anita drove  miles; therefore, the sum of the miles that they drove together would be 3J. 

Thus, the correct answer is

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?

Possible Answers:

Correct answer:

Explanation:

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?

Possible Answers:

Correct answer:

Explanation:

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 ?

Possible Answers:

Correct answer:

Explanation:

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 #52 : Variables

Simplify the expression below,

Possible Answers:

Correct answer:

Explanation:

In order to simplify the expression we have to look at the like terms. We must group the variables that are alike. 

For example,

This is the simplest form of the problem it can no longer be simplified because variables a and b have different values or unknown values. 

Example Question #122 : Algebra

Combine like terms and simplify the expression.

Possible Answers:

Correct answer:

Explanation:

The first step is to multiply the expressions in the parantheses:

 

therefore : 

Then place the like variables next to each other:

And simply add the like terms and you have solved the problem:

 

Example Question #55 : Operations

Reduce the following solution, 

.

Possible Answers:

The expression is already reduced.

Correct answer:

Explanation:

When adding variables, you may only add like variables.  

So you add  and  to get  then just leave  and  separate.

Example Question #121 : Algebra

Simplify:

Possible Answers:

Correct answer:

Explanation:

Begin by distributing the  to its entire group:

Next, group the like terms:

Finally, combine the like terms:

Example Question #125 : Algebra

Possible Answers:

Correct answer:

Explanation:

Rewrite putting like terms together.  There are only two terms with  and two terms with  There is only one term with  

Evaluate each set of terms in the parentheses.

There is no other term to group  with.

Rewrite in simplest form.

 is the correct answer.

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