Kalyankar Math Lessons
Kalyankar Math Lessons
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Simplifying radicals
In this video you learn to rewrite radicals that have smaller numbers under the square root sign and are therefore simpler. The answers to the practice problems in the video are as follows:
1) 2√2
2) 5√3i
3) 10√2i
4) 9√2
5) 7√2
6) 7√3i
7) 5√6
8) 5√10i
9) 2√5i
10) 2√14
Переглядів: 1

Відео

Squaring a binomialSquaring a binomial
Squaring a binomial
Переглядів 10День тому
This video shows how to square a binomial and provides two different proofs of the formula. The answers to the practice problems in the video are as follows: 1) x^2 10x 25 2) x^2 - 6x 9 3) x^2 8x 16 4) x^2 16x 64 5) y^2 -4y 4 6) w^2 - 2w 1 7) l^2 4l 4 8) t^2 - 10t 25
Dividing complex numbersDividing complex numbers
Dividing complex numbers
Переглядів 52 дні тому
We learn to divide one complex number by another. The answers to the practice problems in the video are as follows: 1) -7i/3 2) 1/5 4i/5 3) 7/2 3i 4) -3/4 2i 5) -1/2 3i/2 6) 36/13 15i/13 7) 11/5 - 18i/5 8) -39/25 -6i/5 9) 1/5 - 18i/5 10) -16/29 -47i/29
Adding, subtracting, and multiplying complex numbersAdding, subtracting, and multiplying complex numbers
Adding, subtracting, and multiplying complex numbers
Переглядів 52 дні тому
This video shows complex number arithmetic and defines conjugate complex numbers. The answers to the practice problems in the video are as follows: 1) 7 9i 2) 5 - 3i 3) 1 -7i 4) 8 - 8i 5) -8 4i 6) 3 - I 7) -33 56i 8) 7 3i 9) -14 31i 10) 49 - 50i
Introduction to complex numbersIntroduction to complex numbers
Introduction to complex numbers
Переглядів 73 дні тому
This video introduced an extended number system called complex numbers
Quadratic expressionsQuadratic expressions
Quadratic expressions
Переглядів 143 дні тому
This short video introduced the term "quadratic" to prepare for subsequent lessons on quadratic functions and quadratic equations.
System of equations -- substitution methodSystem of equations -- substitution method
System of equations -- substitution method
Переглядів 53 дні тому
This video is on a system of equations and teaches the substitution method to solve. The answers to the problems in the video are as follows: 1. (2, 1) 2. (1, 1) 3. (1, 2) 4. (1, 3) 5. (3, 4) 6. (2, -3) 7. (-2, 3) 8. (2, -1)
System of equations -- Addition methodSystem of equations -- Addition method
System of equations -- Addition method
Переглядів 74 дні тому
This video introduced system of equations and a solution strategy called Addition method. The answers to the practice problems in the video are as follows: 1. (3, 2) 2. (3, 2) 3. (5, 1) 4. (5, 4) 5. (8, 2) 6. (3, 2) 7. (4, -1) 8. (2, -1)
Solving absolute value inequalities -- parts 1 and 2Solving absolute value inequalities -- parts 1 and 2
Solving absolute value inequalities -- parts 1 and 2
Переглядів 1311 днів тому
This video covers all absolute value inequalities and the answers to the practice problems in the video are as follows: 1) -8 less than x less than 8 2) -5 leq y leq 5 3) m greater than 2 OR m less than -2 4) m geq 4 OR m leq -2 5) l greater than 3 OR l less than -4 6) No solution 7) All real numbers 8) y leq 1 OR y geq 11/3
Solving absolute value inequalities -- part 2Solving absolute value inequalities -- part 2
Solving absolute value inequalities -- part 2
Переглядів 413 днів тому
In this video the solution methods for greater than inequalities are discussed. The answers to the practice problems in the video are 1) y geq 7 OR y leq -7 2) y geq 7 OR y leq -7 3) y geq 6 OR y leq -6 4) z geq 5 OR z leq -5 5) m geq 3 OR m leq -2 6) t geq 3 OR t leq -3 7) u geq 8 OR u leq -2 8) -1 leq v leq 13/5
Solving absolute value inequalities ---- part 1Solving absolute value inequalities ---- part 1
Solving absolute value inequalities ---- part 1
Переглядів 1213 днів тому
This video shows absolute value inequalities that involve only "less than" and "less than or equal to" inequalities. Answers to the practice problems in the video are 1. -3 less than x less than 3 2. -7/2 less than x less than 7/2 3. -4 less than x less than 4 4. -4 leq x leq 6 5. -1 less than x less than 7 6.-7 leq x leq 2 7. -5 leq x leq 7 8. -10/3 less than x less than 2
Parallel and perpendicular linesParallel and perpendicular lines
Parallel and perpendicular lines
Переглядів 1118 днів тому
This video discussed the relationship between slopes of parallel lines and also the relationship between the slopes of perpendicular lines. The answers to the problems in the video are 1) 3 2) y = -2x 3 3) 0 4) y = x 8 5) -5/2 6) y = 1/2x 4 7) Undefined 8) y =-x 2
Standard formStandard form
Standard form
Переглядів 1921 день тому
The standard form of a straight line is introduced and the answers to the practice problems in the video are as follows: 1) X-int = 6, Y-int = 4 2) X-int = 5, Y-int = -15/4 3) X-int = 4, Y-int= none 4) X-int = none, Y-int = 7 5) slope = -2/3 6) slope = 3/4
Point-slope formPoint-slope form
Point-slope form
Переглядів 1122 дні тому
This video introduces a way to write an equation of a line when a point on it and it's slope are given. The answers to the practice problems in the video are as follows: 1) y - 5 = 1(x 2) 2) y 3 = -2(x - 0) 3) y - 4 = 0(x - 5) 4) y 1 = 5/7(x 3) 5) y = x 7 6) y = -2x - 3 7) y = 4 8) y = 5/7x 8/7
Slope-intercept formSlope-intercept form
Slope-intercept form
Переглядів 1522 дні тому
This is a video about slope-intercept form. The answers to the practice problems in the video are as follows: 1). y = 2x - 3 2). y = 4x 3). y = x 4 4). Slope: 3, y-intercept: -5 5). Slope: 1, y-intercept: 7 6). Slope: -1, y-intercept: 2 7). Slope: 0, y-intercept: -3 8). Slope: -4, y-intercept: 0

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