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Math 123 Exam 1 With Complete Solutions (2025)!! $15.99
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  3. University Of Arkansas Community College Batesville
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  5. MATH 12003

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Math 123 Exam 1 With Complete Solutions (2025)!!
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Ace MATH 12003 with This Comprehensive Study Guide! Struggling with MATH 12003? This high-quality study material has everything you need to succeed! Whether you're preparing for exams, mastering key concepts, or just need extra practice, this guide is designed to make learning easier and more ...

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  • March 7, 2025
  • 7
  • 2024/2025
  • Exam (elaborations)
  • Questions & answers

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Q&As
2025




Math 123 Exam 1 With Complete
Solutions (2025)!!




What makes an equation linear? - Answer all variables have
powers of 1

Ex: x-y = 1, x=10, y=5



3 types of lines - Answer 1. Diagonal (x & y, i.e. has a slope)

2. Vertical (just x)

3. Horizontal (just y)



What does it mean to solve a system of 2 equations with 2
unknowns? - Answer Find the point of intersection (where the
2 lines cross)




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, Q&As
2025
What are the possibilities for solutions when solving a system of 2
equations with 2 unknowns? - Answer 1. Unique solution

2. Infinitely many solutions (same line)

3. No solution (parallel)



What happens when you add a third variable and a third
equation? - Answer basically you're dealing with planes now
and have the same three solution possibilities



(T/F) A system composed of two linear equations must have at
least one solution if the straight lines represented by these
equations are nonparallel. - Answer True



If the x's and y's for the 2 equations have different ratios as
coefficients, then... - Answer you know they have different
slopes and they'll intersect -- meaning a unique solution

- if they had the same ratio between the x's and y's, then it'd be
either the same line or parallel lines -- both with same slope
because the two equations should just be multiples of each other,
that's why the ratios need to match

- if the constants have the same ratio or multiple as the x's and
y's then it's infinite because it's the same line just multiplied by a
number. If different ratio, then no solution.



What solution possibility is "inconsistent" the same as? - Answer
no solution



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