2026-2027 Exam
Questions
(2026 Expert-Verified Final
Exam Q & A )
Latest Updated Version
(A+ Guaranteed )
,absolute value a numbers distance from zero on a number line
domain All possible input values (x values)
range All possible output values (y values)
integers numbers that have no fractional or decimal parts
positive numbers numbers that are greater than zero
negative numbers numbers that are less than zero
even numbers integers that can be divided by 2 evenly, with no remainder
odd numbers integers that cannot be divided evenly by 2
factors numbers that a certain number can be divided by, leaving no remainder
multiples numbers that can be divided by a certain number, with no remainder
prime numbers numbers that have exactly two distinct factors, themselves and 1
distinct having a different value
digit a figure from zero through nine that is used as a place holder
consecutive numbers numbers in a row
divisible can be divided with no remainder
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,remainder a whole number that is left over after you divide
sum the result of addition
product the result of multiplication
difference the result of subtraction
quotient the result of division
absolute value a number's distance from zero, always shown as a positive number
Tense Make sure all verbs agree with each other...
e.g. "No matter where they come from or what their cultural values were,
virtually all immigrants to the United States find America a nation of great
opportunity and freedom." Obviously you would change "were" to "are" in
order to agree with the verbs "come" and "find."
Dangling Participles & Misplaced Modifiers These sentences begin with a long string of words followed by a comma
and typically appear like the following question,
"Having no additional funds to spend, the meeting of the budget committee
was promptly concluded."
(A) the meeting of the budget committee was promptly concluded
(B) the meeting of the budget committee concluded promptly
(C) the conclusion of the budget meeting was prompt
(D) the budget committee promptly concluded its meeting
(E) the budget committee's meeting was promptly concluded
The question tries to trick you into thinking "meeting" is the subject after
the verb, but in reality, "the budget committee " is and thus, (D) is the
correct answer. Ask yourself "Is the person, place, or object listed after the
comma the true subject of the sentence? It should be.
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, Faulty Comparisons Within a sentence, objects/peoples/places can only be compared if they are
of the same type. Such as in,
"Unlike flying squirrels, which may leave their young in a tree cavity while
foraging, the babies of flying lemurs are usually carried with them.
(A) the babies of flying lemurs are usually carried
(B) the flying lemur's babies are usually carried
(C) the flying lemur is usually carrying its babies
(D) flying lemurs usually carry their babies
(E) flying lemurs' babies are usually carried
The correct answer choice is obviously D, since you cannot compare flying
squirrels with the BABIES of flying lemurs. Choice D allows for like things to
be compared.
Pronoun Clarity Pronouns can't always be used in place of nouns, because the pronoun
within a sentence may be too ambiguous.
PSAT example:
Internet companies have discovered many advantages in collaborating with
them, whether the companies do so directly or indirectly.
"them" has no antecedent, and thus that's where the error resides within
this sentence.
Pronoun Agreement The PSAT loves using subjects like "the high school," "the choir," and "the
nation" because students associated these nouns with many people, and
therefore think of them as plural. Remember, though: no matter how many
hundreds, thousands, or even millions of people live in a country, a
university, or a city, each of these subjects is SINGULAR and requires the
SINGULAR pronoun, "it!"
Make sure you also keep an eye out for words such as "Either," "Neither,"
"Each," "Anybody," "No One," "Everyone," "Everybody," "Everything," and
"Nothing." Each of these words is always SINGULAR!
PSAT Example:
After months of pressure by the United States, the Russian government has
finally agreed to help their poorest citizens by engaging in humanitarian
efforts and implementing domestic reform.
"their" would need to be changed to "its"
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