Equations of inverses Study guides, Class notes & Summaries
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Updated CLEP Algebra Test with correct answers 2024
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What do you need to do to add / subtract fractions? - ANSWER-Get a common denominator 
 
How do you multiply fractions? - ANSWER-Multiply numerators and multiply denominators 
 
How do you divide by a fraction / what do you do if you have a fraction in the denominator? - ANSWER-Multiply the entire term by the reciprocal fraction 
 
Compute. 
(1/3) + (7/5) - ANSWER-(1/3) + (7/5) 
(5+21)/15 
= 26/15 
 
Compute. 
[(3x-1) / (x^2-2)] + [1/(x-1)] - ANSWER-[(3x-1) / (x^2-2)] + [1/(x-1)] 
[(3x-1)(x+1) +...
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GMAT Math Ultimate Review 2023
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GMAT Math Ultimate Review 2023 
Common Factors - ANS-Break down both numbers to their prime factors to see what 
factors they have in common. Multiply all combinations of shared prime factors to find all 
common factors. 
Gross Profit - ANS-Gross profit = Selling Price - Cost 
Combined Events - ANS-For events E and F: 
• not E = P(not E) = 1 - P(E) 
• E or F = P(E or F) = P(E) + P(F) - P(E and F) 
• E and F = P(E and F) = P(E)P(F) 
Multiplication Principle - ANS-The number of ways indepe...
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CLEP College Algebra exam with 100% correct answers 2024
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additive inverse to a - ANSWER--a 
 
multiplicative inverse to a (when a does not =0) - ANSWER-1/a 
 
raising expression to a negative exponent - ANSWER-1/b^n 
 
multiplying expressions with powers - ANSWER-x^n + x^m = X^m+n 
 
raising expressions to powers - ANSWER-(x^m)^n = x^mn 
 
diving expressions with powers - ANSWER-x^m/ x^n = x^m-n 
 
fractional exponents - ANSWER-x^1/2 = sq rt. X 
x^m/n = n rt. of x^m 
 
multiplying radicals - ANSWER-(sq a)(sq b) = sq ab 
 
factoring diff. of two squar...
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College Algebra Questions and Answers 100% correct
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College Algebra Questions and Answers 100% correct 
Natural Numbers (Counting Numbers) 
1, 2, 3, 4, 5, 6, 7, 8, 9, etc. 
 
Whole numbers that are not negative. 
 
 
 
Integers 
-3, -2, -1, 0, 1, 2, 3, etc. 
 
These are the natural numbers, their additive inverses (negatives), and 0. 
 
 
 
Rational Numbers 
2/1, 1/3, (-1/4), 22/7, 0, 1.2, etc. 
 
Every integer is a rational number. Rational numbers can be expressed as decimals that either terminate (end) or repeat a sequence of digits. 
 
 
 
Ir...
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CLEP College Algebra Questions and Answers 2023
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CLEP College Algebra Questions and Answers 2023 
additive inverse to a 
-a 
 
 
 
multiplicative inverse to a (when a does not =0) 
1/a 
 
 
 
raising expression to a negative exponent 
1/b^n 
 
 
 
multiplying expressions with powers 
x^n + x^m = X^m+n 
 
 
 
raising expressions to powers 
(x^m)^n = x^mn 
 
 
 
diving expressions with powers 
x^m/ x^n = x^m-n 
 
 
 
fractional exponents 
x^1/2 = sq rt. X 
x^m/n = n rt. of x^m 
 
 
 
multiplying radicals 
(sq a)(sq b) = sq ab 
 
 
 
factoring di...
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ECON 201 Microeconomics Theory and Applications with Calculus Supply and Demand-2
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2.1	Demand 
 
1)	Suppose the demand for Digital Video Recorders (DVRs) is given by Q=250 - .25p + 4pc, where Q is the quantity of DVRs demanded (in 1000s), p is the price of a DVR, and pc is the price of cable television. How much does demand for DVRs change if the p rises by $40? 
A)	drops by 10,000 DVRs 
B)	increases by 16,000 DVRs 
C)	drops by 2,500 DVRs 
D)	increases by 4,000 DVRs Answer: A 
 
2)	Suppose the demand for Digital Video Recorders (DVRs) is given by Q=250 - .25p + 4pc, where Q is...
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Tutorial Letter 101/3/2022 Pre-Calculus (Engineering) MAT1514 Semesters 1 and 2 Department of Mathematical Sciences
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INTRODUCTION 
Dear Student 
Welcome to MAT1514 Pre-Calculus (Engineering). 
In MAT1514 you have to work independently and motivate yourself to do so regularly to be 
successful. See an example of a study plan further on in this letter. The amount of time you 
study is not important, but how efficient you use that time is very important. 
Because this is a fully online module, you will need to use myUnisa to study and complete the 
learning activities for this module. Visit the website for MAT151...
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Test Bank for Linear Algebra and its Applications, 6th
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Test Bank for Linear Algebra and its Applications, 6th 
Edition 
Exam 
Name___________________________________ 
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the 
question. Solve the system of equations. 1) 
x 
1) 
1 - x2 + 3x3 = -8 
2x1 + x3 = 0 
x1 + 5x2 + x3 = 40 A) (8, 8, 0) B) (0, -8, -8) C) (-8, 0, 0) D) (0, 8, 0) 2) 
x 
2) 
1 + 3x2 + 2x3 = 11 
 4x2 + 9x3 = -12 
x3 = -4 
A) (1, -4, 6) B) (-4, 1, 6) C) (-4, 6, 1) D) (1, 6, -4) 3) 
x 
3) 
1 - x2 +...
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MATH 545 Elementary Linear Algebra Kuttler
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CONTENTS 
1 Some Prerequisite Topics 1 
1.1 Sets And Set Notation ................................... 1 
1.2 Well Ordering And Induction ............................... 2 
1.3 The Complex Numbers ................................... 4 
1.4 Polar Form Of Complex Numbers ............................. 6 
1.5 Roots Of Complex Numbers ................................ 6 
1.6 The Quadratic Formula .................................. 8 
1.7 The Complex Exponential ................................. 9 
1.8 ...
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Test Bank for Linear Algebra and its Applications, 6th
- Exam (elaborations) • 175 pages • 2024
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Test Bank for Linear Algebra and its Applications, 6th 
Edition 
Exam 
Name___________________________________ 
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the 
question. Solve the system of equations. 1) 
x 
1) 
1 - x2 + 3x3 = -8 
2x1 + x3 = 0 
x1 + 5x2 + x3 = 40 A) (8, 8, 0) B) (0, -8, -8) C) (-8, 0, 0) D) (0, 8, 0) 2) 
x 
2) 
1 + 3x2 + 2x3 = 11 
 4x2 + 9x3 = -12 
x3 = -4 
A) (1, -4, 6) B) (-4, 1, 6) C) (-4, 6, 1) D) (1, 6, -4) 3) 
x 
3) 
1 - x2 +...
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