SSAT Middle Level Math : How to add variables
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Example Questions
Example Question #1 : How To Add Variables
Maria needs exactly 47 cents. She has 1-cent, 5-cent, 10-cent, and 25-cent coins. What is the fewest number of coins she needs in order to make 47 cents?
She needs 
Example Question #2 : How To Add Variables
Simplify this expression as much as possible
You can only add like terms. Therefore, different variables are treated as different types of terms. Since 
Example Question #3 : How To Add Variables
Simplify:
The expression cannot be simplified.
The associative property of addition allows us to group the numbers with the same variables together:
The like terms in this expression are:
-
and
Terms with different variables cannot be grouped together.
As a result, the only way to simplify this expression is to add 
Example Question #4 : How To Add Variables
Simplify:
When adding variables of the same type, they are simply added together, and the variable remains to the first power. This is known as combining like-terms.
Thus, the correct answer is 
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:
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All SSAT Middle Level Math Resources
