All SSAT Middle Level Math Resources
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?
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?
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?
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 #52 : Variables
Simplify the expression below,
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.
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,
.
The expression is already reduced.
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:
Begin by distributing the to its entire group:
Next, group the like terms:
Finally, combine the like terms:
Example Question #125 : Algebra
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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