Operations
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ISEE Middle Level Quantitative Reasoning › Operations
Simplify:
Explanation
Remember, when there is a subtraction outside of a group, you should add the opposite of each member. That is:
That is a bit confusing, so let's simplify. When you add a negative, you subtract:
Now, group your like variables:
Finally, perform the subtractions and get:
Simplify:
Explanation
Remember, when there is a subtraction outside of a group, you should add the opposite of each member. That is:
That is a bit confusing, so let's simplify. When you add a negative, you subtract:
Now, group your like variables:
Finally, perform the subtractions and get:
Simplify:
Explanation
Begin by distributing the through the group:
Next, perform the multiplications:
Group the like terms:
Combine like terms:
Rearrange the terms to get the answer as it appears in the answer choices.
Simplify:
Explanation
Begin by distributing the through the group:
Next, perform the multiplications:
Group the like terms:
Combine like terms:
Rearrange the terms to get the answer as it appears in the answer choices.
Simplify the following expression
Explanation
Simplify the following expression
We can begin by grouping like terms:
Next, combine the like terms. In this case, simply treat them like two subtraction problems.
So our answer is:
Simplify the following expression
Explanation
Simplify the following expression
We can begin by grouping like terms:
Next, combine the like terms. In this case, simply treat them like two subtraction problems.
So our answer is:
Simplify:
Explanation
Begin by rewriting the subtracted group as a set of added negative numbers:
Now, simplify that a little by rewriting the additions of negatives as being mere subtractions:
Next, move the like terms next to each other:
Finally, combine like terms:
Simplify:
None of these
Explanation
We can solve it using the pattern for the square of a binominal or by using FOIL:
Simplify:
Explanation
We can apply the power of a power property:
Simplify:
Explanation
We can apply the power of a power property: