Rational equation - Study guides, Class notes & Summaries
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Straighterline MAT099 Introduction Algebra Graded Exam 3 (New Version June 2024)
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Question 1 
Correct 
4.16 points out 
of 4.16 
Factor out the greatest common factor first. Then factor by grouping. 
10t5 + 50t4 − 15t3 − 75t2 
Select one: 
A. 5t2(2t2 − 3)(t + 5) 
B. (t + 5)(10t4 − 15t2) 
C. 5t2(t + 5)(2t − 3) 
D. (t2 + 5t)(10t3 − 15t) 
Question 2 
Correct 
4.17 points out 
of 4.17 
Solve the problem. 
The shorter leg of a right triangle is 7 cm less than the longer leg. The length of the 
hypotenuse is 2 cm more than the longer leg. Find the length of the hypotenu...
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Straighterline MAT099 Introduction Algebra Graded Exam 4 (New Version June 2024)
- Exam (elaborations) • 16 pages • 2024
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Question 1 
Correct 
4.16 points out 
of 4.16 
Use the point-slope formula to write an equation of the line with the given slope that 
passes through the given point. Write your answer in slope-intercept form. 
slope = 12; through (– 1, 4) 
Select one: 
A. y = 12x + 16 
B. y = −3x + 12 
C. y = 12x + 4 
D. y = 12x − 1 
Question 2 
Correct 
4.17 points out 
of 4.17 
Fill in the blank. 
The point (−6, 1) is in the quadrant. 
Select one: 
A. fourth 
B. third 
C. first 
D. second 
Straighterl...
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UGA MATH PLACEMENT TEST WITH COMPLETE SOLUTIONS 100% 2023/2024
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UGA MATH PLACEMENT TEST WITH COMPLETE SOLUTIONS 100% 2023/2024 
x=5 (lin equation) 
1 solution 
 
 
4=5 (lin equation) 
0 solutions 
 
 
5=5 (lin equation) 
infinite solutions 
 
 
distance formula 
d squared= delta x squared plus delta y squared 
 
 
Slope Intercept Formula 
y=mx+b 
 
 
Point Slope Formula 
y-y1=m(x-x1) 
 
 
Two Point Formula 
y-y1=(y2-y1)/(x2-x1) x (x-x1) 
 
 
Standard Form of a Line 
ax plus by equals c 
 
 
if dividing an inequality by a negative number 
flip the sign 
 
 
I...
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LARE Section 4 questions with correct answers
- Exam (elaborations) • 21 pages • 2023
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Advantages of asphalt paving CORRECT ANSWER Low installation cost 
Low reflectivity 
Low maintenance cost 
 
Disadvantages of asphalt paving CORRECT ANSWER Propensity to erode at edges 
Susceptibility to frost damage 
 
Aggregate in concrete mix, diameter not to exceed: CORRECT ANSWER 1/3 slab thickness 
 
Borrow Pit Method (grading) CORRECT ANSWER Also known as Grid Method, used to calculate cut/fill quantities. Entails laying out a grid across a construction site, and assigning an elevation to...
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ILTS 305 Math 172 Questions with Complete Solutions 100% Verified
- Exam (elaborations) • 13 pages • 2024
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ILTS 305 Math 172 Questions with Complete Solutions 100% Verified 
Number - Correct Answers basic building block 
 
integer - Correct Answers All whole numbers (both positive and negative) and zero. 
 
prime number - Correct Answers A whole number that has exactly two factors, 1 and itself. 
 
composite number - Correct Answers A whole number greater than 1 that has more than two factors. 
 
rational number - Correct Answers A number that can be written as a fraction 
 
irrational number - Corre...
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AFOQT STUDY GUIDE QUESTIONS AND ANSWERS WITH LATEST SOLUTIONS 2023-2025
- Exam (elaborations) • 16 pages • 2023
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Rational Number 
 
 
A number that can be written as a fraction with a nu...
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Precalculus UPDATED Exam Questions and CORRECT Answers
- Exam (elaborations) • 19 pages • 2024
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Rational Number -any number that is a real number that can be written ass a 
terminating or repeating decimal 
Irrational Number -real number that cannot be written as a terminating or repeating 
decimal (square root of 5) 
Quadratic Formula -b±[√b²-4ac]/2a 
Factoring Cubes a^3+b^3=(a+b) (a^2-ab+b^2) 
-if it is A^3-B^3 then change to (a-b)(a^2+ab+b^2) 
Discriminant -for quadratic expression, the discriminant is b^2-4ac 
-determines tht nature of the roots when the quadratic equation=0...
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SDSU MATH PLACEMENT ASSESSMENT FORMULAS WITH COMPLETE SOLUTIONS 100% 2023/2024
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SDSU MATH PLACEMENT ASSESSMENT FORMULAS WITH COMPLETE SOLUTIONS 100% 2023/2024 
vertex 
-b/2a 
 
 
domain and range 
(-∞ ,∞) 
and brackets for numbers for sure or equal to [ , ] 
parentheses for < or > or infinity 
 
 
end behavior 
odd: different- positive: falls left, rises right; negative: rises left, falls right 
 
even: same- positive: rises x2; negative: falls x2 
 
 
polynomial division 
answer+ (remainder/divison) 
 
 
quadratic formula 
-b±[√b²-4ac]/2a 
 
 
Vertical asympt...
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UGA Math Placement Test with 100- correct answers
- Exam (elaborations) • 9 pages • 2024
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- $14.99
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x=5 (lin equation) 
1 solution 
 
 
 
4=5 (lin equation) 
0 solutions 
 
 
 
5=5 (lin equation) 
infinite solutions 
 
 
 
distance formula 
d squared= delta x squared plus delta y squared 
 
 
 
Slope Intercept Formula 
y=mx+b 
 
 
 
Point Slope Formula 
y-y1=m(x-x1) 
 
 
 
Two Point Formula 
y-y1=(y2-y1)/(x2-x1) x (x-x1) 
 
 
 
Standard Form of a Line 
ax plus by equals c 
 
 
 
if dividing an inequality by a negative number 
flip the sign 
 
 
 
Interval notation 
Bracket= definite, parenthes...
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TEAS 7COMPREHENSIVE QUICK REVISION MATERIALS
- Exam (elaborations) • 76 pages • 2023
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Decimal Placement/Converting 
 ANSWER : - Value greater than 1, Move decimal to right till you get whole number. 
- Number becomes numerator and 1 becomes denominator with the number of 0's that matches 
number of moves for decimal. = *Fraction* 
- Value less than 1. Use whole number as numerator and the *Place value* of *last decimal 
Digit* as denominator. =*Fraction* 
Percentage Convert to/from Decimal 
 ANSWER : *TO* - Divide % by 100 then remove % symbol 
*FROM* - Multiply by 100 then add ...
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