Solve each number. Show solution. Show explanations if possible.

Exercise 5.1 Find the solution set of each of the given equations. (First Degree Equation) 1. 3(x+2) = 5x + 2 2. X-7 = 12 3. 9x = 27 4. 10 = X -8 5. x+4x =20 6. 6x + 3 = 21 7. 28 = -7x 8. 18x +20 + x = 5+10x-3 51 9. 5x-3 -2x = 4x -18 -6x 10. 3(2x+4) + 5(3-2x) = 7-2xExercise 5.2 Find the solution set of each of the given equations. (Second Degree Equation) Decide as to the methods to be used. 1. x'- x = 0 2. 4x2 + x = 0 3. 4x2+ 4x = 3 4. 9x2+ 4 = 12x 5. 2x2-5x =-2 6. 3x2-12x+ 9 =0 7. x2+ 6x +9=0 8. (x - a)2- 462 =0 9. ( x + a) 2- 462 = 0 10. (x + 1)2_ 2 = 0 NExercise 5.3 Find the solution set of each of the given equations. (Other Forms of Equations in One Variable) 1 2 _ 5 ' 3x4 sac7 2 5 3 2. _ = a+1 a 1-0. x+2 x 3. 2 = 2 3x +x2 3x 8x+4 4 1 2 _ ' VIE ~Jx+12 Exercise 6.1 Find the distance between the given points. 1. P1 (2,0) and P2 (0, 2) 2. P1 (5,5) and P2 (2, 2) 3. P1 (6,-5) and P2 (2, -2) 4. P1 (2,0) and P2 (0, 0) 5. P1 (-4, -5) and P2 (-4, 6) Exercise 6.2 Find the coordinates of the midpoints in the given pair of points. 1. P1 (2,0) and P2 (0, 2) 2. P1 (5,5) and P2 (2, 2) 3. P1 (6, -5) and P2 (2, -2) 4. P1 (2,0) and P2 (0, 0) 5. P1 (-4, -5) and P2 (-4, 6)Exercise 6.3 In a Cartesian Plane sketch the graph in each of the given equations in two variables. 1. xty=2 73 2. 2x-y=1 3. x+3y=10 4. 3x-2y=12 5. 8y=10x+12 6. y=4x2+4x-3 7. y=9x2+4-12x 8. y=3x2-5x+2 9. y=x2-9x+18 10. y=2x2-6x-8Exercise 6.4 Find the solution set in each of the given system of equations in two variables. 1. 2x -4y = 5 x-2y =2 2. 5x - 2y =7 2x + 5y = 8 3. 7x + 2y = 4 2x + 7y =4 4. xty = 5 2x +3y = 3 5. 3x-2y = 1 3x -2y = -3 6. 2x -4y = 5 y = 4x2+4x-3 7. 5x - 2y = 7 y = 3x2-5x-3 8. 7x + 2y =4 y = 4x2-3