ISEE Middle Level Math : Algebraic Concepts
Study concepts, example questions & explanations for ISEE Middle Level Math
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Example Questions
Example Question #623 : Concepts
Evaluate
Example Question #624 : Concepts
Add the numbers and keep the variable:
Answer:
Example Question #11 : Algebra
Simplify:
First we should simplify the first expression. We can first apply the power of a product rule and then apply the power of a power rule. So we can write:
Return to the original expression:
Since the variables have the same exponents we can write:
Example Question #112 : Ssat Middle Level Quantitative (Math)
Gina's mom baked 12 cookies. 8 were cinnamon and 4 were chocolate chip. If Gina eats one of the cinnamon cookies, how many more cinnamon cookies are there than chocolate chip?
Gina's mom baked 12 cookies; 8 were cinnamon and 4 were chocolate chip. If Gina then eats a cinnamon cookie, there will be 7 cinnamon cookies left.
After she eats the cookie, we need to find the difference between the number of cinnamon cookies and chocolate chip cookies.
There are 3 more cinnamon cookies than chocolate chip cookies.
Example Question #113 : Ssat Middle Level Quantitative (Math)
Add 
In modulo 13 arithmetic, a number is congruent to the remainder of the divison of that number by 13. Since
and
making the correct response 0.
Example Question #21 : How To Add Variables
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?
Subtracting, adding, multiplying
Adding, subtracting, multiplying
Multiplying, adding, subtracting
Multiplying, subtracting, adding
Adding, multiplying, subtracting
Adding, multiplying, subtracting
By the order of operations, the operation within parentheses, which is addition, is carried out first; of the remaining two, multiplication precedes subtraction.
Example Question #22 : How To Add Variables
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?
Squaring, multiplying, adding
Multiplying, squaring, adding
Adding, multiplying, squaring
Squaring, adding, multiplying
Multiplying, adding, squaring
Squaring, multiplying, adding
By the order of operations, in the absence of grouping symbols, exponentiation (squaring here) takes precedence, followed by, in order, multiplication and addition.
Example Question #113 : Ssat Middle Level Quantitative (Math)
The sum of four consecutive numbers is 62. What is the smallest number?
The algebraic way to solve this problem is to set up an equation, however, students can also solve using guess-and-check from the answer options.
When setting up an equation, sequential numbers are equal to 
Combine like-terms by reordering.
Subtract 6 from each side of the equation, then divide each side by 4 in order to isolate the variable.
Example Question #47 : Operations
Rewrite the base-ten number 387 in base five.
In base five, each place value is a power of five, starting with 1 at the right, then, going to the left,
To convert a base ten number to base five, divide the number by the next lowest power of five, then divide each remainder by progressively lower powers.
Since 
The base five equivalent of 387 is
Example Question #115 : Ssat Middle Level Quantitative (Math)
Maria teaches an art class. She makes $35 for each class she teaches, and art supplies are her only expense. How much must the supplies cost if each class is priced at $15 per student, and she always has 3 students in each class?
If there are 3 students in each of Marie's art classes, and each student pays $15, this means that students are paying Marie $45 in total per class.
We can find the expense of the supplies by subtracting the amount Maria makes from the amount that the students pay her. The students pay her $45, but she only makes $35 per class.
The supplies must cost her $10.
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