SSAT Middle Level Math : Algebra
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All SSAT Middle Level Math Resources
Example Questions
Example Question #5 : How To Add Variables
What is the sum of the fractions below?
In order to solve this addition problem, a common denominator must first be found.
Finally, add the fractions.
Example Question #5 : 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?
Adding, squaring, multiplying
Squaring, multiplying, adding
Squaring, adding, multiplying
Multiplying, adding, squaring
Adding, multiplying, squaring
Adding, squaring, multiplying
By the order of operations, the operation within parentheses, which is addition, is carried out first; of the remaining two, exponentiation - squaring here - precedes multiplication.
Example Question #6 : 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?
Subtraction, multiplication, addition
Addition, multiplication, subtraction
Subtraction, addition, multiplication
Multiplication, subtraction, addition
Multiplication, addition, subtraction
Subtraction, multiplication, addition
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 subtraction within parentheses - will be carried out first, followed by the remaining operation within the brackets - the multiplication. The remaining operation - the addition - is last.
Example Question #6 : How To Add Variables
Write in base ten:
In base five, each place value is a power of five, starting with 1 at the right, then, going to the left, 
Example Question #6 : How To Add Variables
Add 
In modulo 15 arithmetic, a number is congruent to the remainder of the divison of that number by 15. Since
and
This makes 10 the correct choice.
Example Question #4 : Algebra
Add the numbers and keep the variable:
Answer:
Example Question #1 : How To Add Variables
Add the numbers and keep the variable:
Answer:
Example Question #6 : Algebra
Simplify
Already simplified
In order to add variables the terms must be like. In order for terms to be like, the variables must be exactly alike also being raised to the same power by the exponent.
In this case the like terms are 
We add the coefficients of the like terms. The coefficient is the number in front of the first variable, in this case it is 1 for both terms because of the identity property of multiplication stating any variable, term, or number multiplied by 1 is itself.
Our last term is not like because the 
Example Question #2 : How To Add Variables
Remember, for exponent problems, you group together different exponents and different combinations of variables as though each were a different type of variable. Therefore, you can group your problem as follows:
Now, just combine like terms:
Example Question #7 : Algebra
Simplify:
You should begin by distributing 
Now, move your like variables next to each other:
Finally, combine the like terms:
All SSAT Middle Level Math Resources
