Trigonometry & Functions Complete Study Guide and Practice
Questions with Answers
Introduction:
This document contains a comprehensive collection of ALEKS Math
Exam 2026 practice questions with correct answers covering
college algebra, geometry, trigonometry, logarithms, exponential
functions, quadratic equations, graphing, and coordinate geometry.
It also includes key formulas, definitions, problem-solving
strategies, and worked examples commonly tested on placement
exams and college entrance assessments.
The material reviews important concepts such as inequalities,
polynomial operations, trig identities, radicals, logarithmic
equations, and conic sections. It is useful for exam preparation,
homework review, and strengthening foundational math skills
across multiple algebra and trigonometry topics.
Exam Questions and Answers
Cramer's Rule --- correct precise answer ---a method of solving
systems of linear equations by using determinants
Cross Product --- correct precise answer ---The product of numbers
on the diagonal when comparing two ratios
Cube --- correct precise answer ---3-dimensional solid figure. Ex: 6
faces, 12 edges, + 8 vertices. F + V = E + 2
,Cube Root --- correct precise answer ---a number that when
multiplied three times equals a given number
Cumulative Frequency --- correct precise answer ---Sum of the
frequencies starting at lowest interval & including frequencies
within that interval.
Cumulative Relative Frequency --- correct precise answer ---
cumulative frequency of a class divided by the total number of
observations
Real numbers --- correct precise answer ---set of all rational and
irrational numbers ex.) -√7, -1/3, 0, 1, 3/4
Integer --- correct precise answer ---All whole numbers (both
positive and negative) and zero.
Rational number --- correct precise answer ---A number that can be
written as a fraction
irrational number --- correct precise answer ---Any real number
which cant be expressed as a fraction of two integers
,inequality --- correct precise answer ---A statement that compares
two quantities using <, >, ≤,≥, or ≠
linear equation --- correct precise answer ---An equation whose
graph is a line
linear inequality --- correct precise answer ---An inequality in two
variables whose graph is a region of the coordinate plane that is
bounded by a line.
linear in equality (shading) --- correct precise answer ---If its
greater than and equal to or greater then shade above the line. if it
is less than and equal to or greater then shade below the line
Inequalities multiplying or dividing by a negative number ---
correct precise answer ---the inequality sign flips
multiplying powers with the same base --- correct precise answer -
--add the exponents
multiply two monomials with powers --- correct precise answer ---
multiply by like terms and add their exponents
, dividing exponents --- correct precise answer ---subtract the
exponents
power to a power --- correct precise answer ---multiply the
exponents
Systems of linear equations --- correct precise answer ---is a set of
two or more linear equations in the same variables. (goal find x and
y coordinates
methods of solving linear equations --- correct precise answer ---
subsitiution, elimination
quadratic equations --- correct precise answer ---a function that
has the variable raised to the second power
Methods to Solving a Quadratic --- correct precise answer ---
Factoring, Graphing, Quadratic Formula, completing the square,
square roots
linear functions --- correct precise answer ---Mathematical
expressions in which the variables appear in separate terms and
are raised to the first power.