ISEE Middle Level Math : ISEE Middle Level (grades 7-8) Mathematics Achievement
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Example Questions
Example Question #82 : Algebra
At Bess's candy warehouse, she charges M for the first 5 pounds of candy that customers buy and P for each additional pound of candy. What is the cost of buying 128 ounces of candy from Bess's warehouse? (*Note: there are 16 ounces in a pound.)
The first step is the convert ounces into pounds. Given that there are 16 ounces in a pound, there are 8 pounds in 128 ounces because 128 divided by 16 eequals 8.
Since the first 5 pounds cost M, and each additional pound costs P, there are 3 additional pounds that will have to be paid for at the P price per pound. Thus, the appropriate formula to express the value of the cost of 128 ounces of candy (8 pounds) is:
Example Question #2171 : Isee Middle Level (Grades 7 8) Mathematics Achievement
Which of the following phrases can be written as the algebraic expression 
The product of seven and a number subtracted from eighty-eight
Seven multiplied by the difference of a number and eighty-eight
Seven multiplied by the difference of eighty-eight and a number
Eighty-eight subtracted from the product of seven and a number
The correct answer is not given among the other responses
Eighty-eight subtracted from the product of seven and a number
Subsequently, 
Example Question #2172 : Isee Middle Level (Grades 7 8) Mathematics Achievement
Suppose you know the values of all variables in the expression
and you want to evaluate the expression.
In which order will you carry out the operations?
Multiplication, subtraction, addition
Subtraction, addition, multiplication
Subtraction, multiplication, addition
Addition, multiplication, subtraction
Multiplication, addition, subtraction
Addition, multiplication, subtraction
By the order of operations, any expressions within grouping symbols, such as parentheses and brackets, are carried out from the inside outward. Therefore, the operation in the innermost set of grouping symbols - the addition within parentheses - will be carried out first, followed by the remaining operation within the brackets - the multiplication. The remaining operation - the subtraction - is last.
Example Question #54 : Operations
Solve for 
In order to solve for 
Next, each side must be divided by 4. This results in:
Example Question #59 : How To Multiply Variables
Multiply in modulo 7:
In modulo 7 arithmetic, a number is congruent to the remainder of the divison of that number by 7. Since
and
then
The correct response is 2.
Example Question #60 : How To Multiply Variables
Simplify:
Begin by moving all of the related variables (and constants) next to each other. You can group these in parentheses to make it clear. This is allowed because of the associative rule for multiplication.
When multiplying variables of the same type, you add their exponents together. This gets you:
This is the same as:
Example Question #61 : Algebraic Concepts
Simplify the following expression:
The expression is already reduced.
When you multiple variables, the constants will be multiplied together and the variables will be combined.
So that means that
and
so that leaves us with a final answer of
Example Question #61 : Operations
Simplify the following expression:
Simplify the following expression:
We can simplify this by combining like terms. We need to multiply the two pieces in parentheses.
We can only combine variables with the same base.
To multiply variables we must add their exponents.
The integers (whole numbers) can be combined via standard multiplication.
So, we should get the following:
So our answer is:
Example Question #63 : Variables
Simplify the following expression:
To solve 
Rewrite:
Example Question #61 : Operations
Multiply the coefficients of the variable
Then multiply the variables by adding the exponents:
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