MATH 101 EXAM 1 QUESTIONS & ANSWERS 2026-2027 | VERIFIED … EXAM
P R O F E S S I O N A L P R A C T I C E M AT E R I A L S
Math 101 Exam 1
Questions & Answers
2026-2027 | Verified
Exam Questions
(Rationales)
Verified Answers Exam Ready With Rationales
93 QUESTIONS
DOCUMENT OVERVIEW
This document provides 93 verified questions with correct answers and detailed rationales
covering fundamental algebra concepts. It includes diagrams and is formatted as a study
guide, not a blank test. This resource is suitable for comprehensive exam review, self-
assessment, and preparation for certification.
CONTENTS
Inequalities and Interval Notation Q1–Q14
Absolute Value Q15–Q19
Graphing Basics Q20–Q23
Page 1
,Exponents and Scientific Notation Q24–Q51
Functions and Relations Q52–Q62
Operations on Functions and Linear Functions Q63–Q80
Systems of Equations and Word Problems Q81–Q93
E XA M Q U EST I O N S
Q1 QUESTION 1 OF 93
x≤−4
CORRECT ANSWER
x is less than or equal to -4
because the data set includes -4, put FILLED in dot on -4
less than or equal to means go to the left of -4
RATIONALE
The inequality symbol "≤" signifies "less than or equal to," mandating a closed circle on the number
line at the specified value and shading towards negative infinity to represent all values satisfying
the condition. This notation visually communicates the inclusion of the endpoint and the direction
of the solution set.
Q2 QUESTION 2 OF 93
x≥−3
Page 2
, CORRECT ANSWER
x is greater than or equal to -3
b/c x is included in the set, put FILLED in dot on the -3
greater than or equal to means the number goes to the right of -3
RATIONALE
The inequality symbol "≥" signifies "greater than or equal to," indicating that the value of x can be -3
or any number larger than -3, which is represented by a filled circle on a number line at -3 extending
to the right. This mathematical notation defines a set of numbers including the boundary point and
all values in one direction.
Q3 QUESTION 3 OF 93
a<x<b
CORRECT ANSWER
(a, b)
all real numbers between a and b, not including a and b
RATIONALE
The inequality a < x < b denotes an open interval, meaning all real numbers strictly greater than 'a'
and strictly less than 'b', excluding the endpoints themselves. This notation represents the set of
values between 'a' and 'b' without including 'a' or 'b'.
Q4 QUESTION 4 OF 93
x>a
CORRECT ANSWER
(a,∞)
All real numbers greater than a, but not including a
RATIONALE
The inequality x > a signifies all real numbers strictly greater than 'a', which is represented by an
open interval starting immediately after 'a' and extending to positive infinity. This notation defines a
set of values where 'x' is exclusively larger than 'a', excluding 'a' itself.
Page 3
, Q5 QUESTION 5 OF 93
x< b
CORRECT ANSWER
All real numbers less than b, but not including b
(−∞,b)
RATIONALE
The inequality $x < b$ denotes all real numbers that are strictly smaller than $b$, which is
represented by the open interval $(-\infty, b)$ because $b$ itself is excluded. This tests
understanding of inequality notation and interval representation.
Q6 QUESTION 6 OF 93
x≥a
CORRECT ANSWER
[a,∞)
All real numbers greater than a, including a
RATIONALE
This notation represents a closed interval on the real number line, signifying all values from 'a' to
positive infinity, inclusive of 'a'. The key concept tested is the translation of inequality notation into
interval notation.
Q7 QUESTION 7 OF 93
x≤b
CORRECT ANSWER
(−∞,b]
All real numbers less than b, including b
Page 4
P R O F E S S I O N A L P R A C T I C E M AT E R I A L S
Math 101 Exam 1
Questions & Answers
2026-2027 | Verified
Exam Questions
(Rationales)
Verified Answers Exam Ready With Rationales
93 QUESTIONS
DOCUMENT OVERVIEW
This document provides 93 verified questions with correct answers and detailed rationales
covering fundamental algebra concepts. It includes diagrams and is formatted as a study
guide, not a blank test. This resource is suitable for comprehensive exam review, self-
assessment, and preparation for certification.
CONTENTS
Inequalities and Interval Notation Q1–Q14
Absolute Value Q15–Q19
Graphing Basics Q20–Q23
Page 1
,Exponents and Scientific Notation Q24–Q51
Functions and Relations Q52–Q62
Operations on Functions and Linear Functions Q63–Q80
Systems of Equations and Word Problems Q81–Q93
E XA M Q U EST I O N S
Q1 QUESTION 1 OF 93
x≤−4
CORRECT ANSWER
x is less than or equal to -4
because the data set includes -4, put FILLED in dot on -4
less than or equal to means go to the left of -4
RATIONALE
The inequality symbol "≤" signifies "less than or equal to," mandating a closed circle on the number
line at the specified value and shading towards negative infinity to represent all values satisfying
the condition. This notation visually communicates the inclusion of the endpoint and the direction
of the solution set.
Q2 QUESTION 2 OF 93
x≥−3
Page 2
, CORRECT ANSWER
x is greater than or equal to -3
b/c x is included in the set, put FILLED in dot on the -3
greater than or equal to means the number goes to the right of -3
RATIONALE
The inequality symbol "≥" signifies "greater than or equal to," indicating that the value of x can be -3
or any number larger than -3, which is represented by a filled circle on a number line at -3 extending
to the right. This mathematical notation defines a set of numbers including the boundary point and
all values in one direction.
Q3 QUESTION 3 OF 93
a<x<b
CORRECT ANSWER
(a, b)
all real numbers between a and b, not including a and b
RATIONALE
The inequality a < x < b denotes an open interval, meaning all real numbers strictly greater than 'a'
and strictly less than 'b', excluding the endpoints themselves. This notation represents the set of
values between 'a' and 'b' without including 'a' or 'b'.
Q4 QUESTION 4 OF 93
x>a
CORRECT ANSWER
(a,∞)
All real numbers greater than a, but not including a
RATIONALE
The inequality x > a signifies all real numbers strictly greater than 'a', which is represented by an
open interval starting immediately after 'a' and extending to positive infinity. This notation defines a
set of values where 'x' is exclusively larger than 'a', excluding 'a' itself.
Page 3
, Q5 QUESTION 5 OF 93
x< b
CORRECT ANSWER
All real numbers less than b, but not including b
(−∞,b)
RATIONALE
The inequality $x < b$ denotes all real numbers that are strictly smaller than $b$, which is
represented by the open interval $(-\infty, b)$ because $b$ itself is excluded. This tests
understanding of inequality notation and interval representation.
Q6 QUESTION 6 OF 93
x≥a
CORRECT ANSWER
[a,∞)
All real numbers greater than a, including a
RATIONALE
This notation represents a closed interval on the real number line, signifying all values from 'a' to
positive infinity, inclusive of 'a'. The key concept tested is the translation of inequality notation into
interval notation.
Q7 QUESTION 7 OF 93
x≤b
CORRECT ANSWER
(−∞,b]
All real numbers less than b, including b
Page 4
