All ACT Math Resources
Example Questions
Example Question #2 :Absolute Value
Define an operationas follows:
For all real numbers,
Evaluate:.
None of the other responses is correct.
The expression is undefined.
, or, equivalently,
Example Question #1 :How To Find Absolute Value
Define.
Evaluate.
, or, equivalently,
Example Question #1 :How To Find Absolute Value
Define an operationas follows:
For all real numbers,
Evaluate.
Example Question #1 :How To Find Absolute Value
Define.
Evaluate.
Example Question #11 :How To Find Absolute Value
Define an operationas follows:
For all real numbers,
Evaluate
Bothand
Example Question #181 :Integers
What is the minimum value forif?
When solving an absolute value equation, you should remember that you can have either a positive or a negative value in the absolute value. So, for instance:
means thatcan be eitheror.
Thus, for this question, you know thatcan mean:
Then, you just solve each and get:
Thus,is the minimum possible value for.
Example Question #181 :Integers
Simplify.
Begin by simplifying the contents of the absolute value:
Remember that the absolute value of a negative number is a positive value. Thus:
Example Question #13 :How To Find Absolute Value
What is the largest possible value forif?
When solving an absolute value equation, you should remember that you can have either a positive or a negative value in the absolute value. So, for instance:
means thatcan be eitheror.
Thus, for this question, you know that. Start by dividing byon both sides. This will give you:
Now, from this, we know:
Solve each equation for. The first is:
The second is. You can tell that this is going to end up being negative. You do not even need to finish. The larger value will be the positive one,.
Example Question #183 :Integers
Evaluate the following expression:
First use order of operations (PEMDAS which stands for Parentheses, Exponents, Multiplication, Division, Addition, and Subraction) to evaluate the inner part of the absolute value:
First multiply
.
Then subtract that from.
.
Absolute value means the distance away from zero, and distance is always positive.
Thus:is the answer
Example Question #51 :Ssat Upper Level Quantitative (Math)
Evaluate the expression ifand.
To solve, we replace each variable with the given value.
简化。记住,呈献的内部条件te value are always positive.
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