SSAT Middle Level Math : How to add variables
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Example Questions
Example Question #21 : How To Add Variables
Simplify:
Combine like terms:
Example Question #22 : How To Add Variables
Simplify:
Combine like terms:
Example Question #23 : How To Add Variables
Evaluate
Example Question #24 : How To Add Variables
Add the numbers and keep the variable:
Answer:
Example Question #25 : How To Add Variables
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 #24 : How To Add Variables
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 #25 : How To Add Variables
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 #26 : 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?
Multiplying, adding, subtracting
Multiplying, subtracting, adding
Adding, multiplying, subtracting
Adding, subtracting, multiplying
Subtracting, adding, multiplying
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 #27 : 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, multiplying, squaring
Multiplying, adding, squaring
Multiplying, squaring, adding
Squaring, multiplying, adding
Squaring, adding, multiplying
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 #28 : How To Add Variables
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.
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All SSAT Middle Level Math Resources
