TX PACT ESSENTIAL ACADEMIC SKILLS 700
ACTUAL EXAM 2026 QUESTIONS WITH
ANSWERS GRADED A+
◉ Rational numbers. Answer: are numbers that can be expressed as
a ratio (fraction or comparison) of two integers, a/b where b ≠ 0
(because zero can't be the denominator of a fraction). All rational
numbers can be written exactly in both fraction and decimal forms,
and can be graphed on a number line. Note that exact is a formal
term in mathematics meaning a value that has not been rounded or
approximated.
◉ rational numbers. Answer: ex. mixed numbers - like 4½ which
have both a whole number part, like the "4," and a fractional part,
like the "½"
ex. decimal numbers that end, such as 0.25
ex. decimal numbers that repeat the same pattern forever, such as
0.727272... (also written 0.\overline{72}0.72), which is 8/11 when
written in fraction form
◉ Natural Numbers. Answer: real numbers that can be pointed to in
nature - one tree, two people, three dogs. This set is also known as
, the counting numbers; it starts at 1 and goes up by 1s in the same
way that children first learn to count, yielding the infinitely large set
of values 1, 2, 3, 4, 5,...
◉ Whole Numbers. Answer: the set of natural numbers and zero; it
starts at 0 and goes up by 1s to create the infinite set 0, 1, 2, 3, 4,...
◉ Integers. Answer: positive and negative counting numbers and
zero; the infinite set ...-3, -2, -1, 0, 1, 2, 3,...
◉ Irrational Numbers. Answer: All include a symbol such as square
root or pi
ex. must be written a symbol or radical.
real numbers that CANNOT be represented exactly as a ratio of two
integers.
In order to be expressed exactly (without rounding), irrational
numbers are often written with symbols (like π, e, or \sqrt{2}2).
When irrational numbers are written using only ordinary numerals,
they must be rounded.
ACTUAL EXAM 2026 QUESTIONS WITH
ANSWERS GRADED A+
◉ Rational numbers. Answer: are numbers that can be expressed as
a ratio (fraction or comparison) of two integers, a/b where b ≠ 0
(because zero can't be the denominator of a fraction). All rational
numbers can be written exactly in both fraction and decimal forms,
and can be graphed on a number line. Note that exact is a formal
term in mathematics meaning a value that has not been rounded or
approximated.
◉ rational numbers. Answer: ex. mixed numbers - like 4½ which
have both a whole number part, like the "4," and a fractional part,
like the "½"
ex. decimal numbers that end, such as 0.25
ex. decimal numbers that repeat the same pattern forever, such as
0.727272... (also written 0.\overline{72}0.72), which is 8/11 when
written in fraction form
◉ Natural Numbers. Answer: real numbers that can be pointed to in
nature - one tree, two people, three dogs. This set is also known as
, the counting numbers; it starts at 1 and goes up by 1s in the same
way that children first learn to count, yielding the infinitely large set
of values 1, 2, 3, 4, 5,...
◉ Whole Numbers. Answer: the set of natural numbers and zero; it
starts at 0 and goes up by 1s to create the infinite set 0, 1, 2, 3, 4,...
◉ Integers. Answer: positive and negative counting numbers and
zero; the infinite set ...-3, -2, -1, 0, 1, 2, 3,...
◉ Irrational Numbers. Answer: All include a symbol such as square
root or pi
ex. must be written a symbol or radical.
real numbers that CANNOT be represented exactly as a ratio of two
integers.
In order to be expressed exactly (without rounding), irrational
numbers are often written with symbols (like π, e, or \sqrt{2}2).
When irrational numbers are written using only ordinary numerals,
they must be rounded.
