MAT 101 MIDTERM ACTUAL EXAM PAPER
2026 QUESTIONS WITH ANSWERS
GRADED A+
◍ (a-b)^3.
Answer: a^3-3a^2b+3ab^2-b^3
◍ (a-b)^4.
Answer: a^4 - 4a^3b + 6a^2b^2 - 4ab^3 + b^4
◍ a^0.
Answer: =1
◍ Slope from two points.
Answer: m = (y₂- y₁) / (x₂- x₁)
◍ What is the meaning of the statement O P in terms of truth values?.
Answer: The statement is false only when O is true and P is false.
◍ (a^m)^n.
Answer: a^mn
◍ a^m x a^n.
Answer: a^m+n
◍ What does ' ' denote in logic?.
Answer: The symbol ' ' denotes implication, meaning 'if... then...'.
◍ What is a universal quantifier?.
Answer: A universal quantifier is a symbol that indicates that a statement
applies to all elements in a domain.
◍ What does the notation ¬(P Q) represent?.
Answer: It represents the negation of the conjunction, which is logically
, equivalent to ¬P ¬Q.
◍ (a+b)(c+d).
Answer: ac+ad+bc+bd
◍ a^m/a^n.
Answer: a^m-n
◍ a^2 - b^2.
Answer: (a - b)(a + b)
◍ (a/b)^n.
Answer: a^n / b^n
◍ (a+b)^3.
Answer: a^3+3a^2b+3ab^2+b^3
◍ point slope form.
Answer: y-y₁=m(x-x₁)
◍ What is the implication of 'O P'?.
Answer: If 'O' is true, then 'P' must also be true.
◍ (a+b)^2.
Answer: a^2+2ab+b^2
◍ linear inequality graph.
Answer: dashed for < or >solid for ≤ or ≥
◍ slope from standard form.
Answer: m=-A/B
◍ What does '¬ x
X. ¬P'x' mean?.
Answer: It means that there does not exist an 'x' in 'X' such that 'P' is false.
◍ midpoint formula.
Answer: (x₁+x₂)/2, (y₁+y₂)/2
◍ What is the symbol for the set of natural numbers?.
2026 QUESTIONS WITH ANSWERS
GRADED A+
◍ (a-b)^3.
Answer: a^3-3a^2b+3ab^2-b^3
◍ (a-b)^4.
Answer: a^4 - 4a^3b + 6a^2b^2 - 4ab^3 + b^4
◍ a^0.
Answer: =1
◍ Slope from two points.
Answer: m = (y₂- y₁) / (x₂- x₁)
◍ What is the meaning of the statement O P in terms of truth values?.
Answer: The statement is false only when O is true and P is false.
◍ (a^m)^n.
Answer: a^mn
◍ a^m x a^n.
Answer: a^m+n
◍ What does ' ' denote in logic?.
Answer: The symbol ' ' denotes implication, meaning 'if... then...'.
◍ What is a universal quantifier?.
Answer: A universal quantifier is a symbol that indicates that a statement
applies to all elements in a domain.
◍ What does the notation ¬(P Q) represent?.
Answer: It represents the negation of the conjunction, which is logically
, equivalent to ¬P ¬Q.
◍ (a+b)(c+d).
Answer: ac+ad+bc+bd
◍ a^m/a^n.
Answer: a^m-n
◍ a^2 - b^2.
Answer: (a - b)(a + b)
◍ (a/b)^n.
Answer: a^n / b^n
◍ (a+b)^3.
Answer: a^3+3a^2b+3ab^2+b^3
◍ point slope form.
Answer: y-y₁=m(x-x₁)
◍ What is the implication of 'O P'?.
Answer: If 'O' is true, then 'P' must also be true.
◍ (a+b)^2.
Answer: a^2+2ab+b^2
◍ linear inequality graph.
Answer: dashed for < or >solid for ≤ or ≥
◍ slope from standard form.
Answer: m=-A/B
◍ What does '¬ x
X. ¬P'x' mean?.
Answer: It means that there does not exist an 'x' in 'X' such that 'P' is false.
◍ midpoint formula.
Answer: (x₁+x₂)/2, (y₁+y₂)/2
◍ What is the symbol for the set of natural numbers?.
