Title LINEAR EQUATIONS.pdf ✅

CLASS VII MATH WORKSHEET 01 CUQ 1. A mathematical sentence that can be verified either true or false but not both is called a (a.)Equality (b.) Mathematical statement (c.) Replacement (d.) Expression 2. The number of variables in a simple equa- tion is (a.)3 (b.) 2 (c.) Infinite (d.) 1 3. If x 2 + x 3 = 5, then x is (a.)12 (b.)-12 (c.) 6 (d.) 8 4. If 5x − 8 = 2x − 2, then the value of x is (a.)-2 (b.) 2 (c.) 4 (d.) -4 5. If 5x−3 1−2x = −12 5 , then x is (a.)3 (b.) -3 (c.) 4 (d.) -4 6. The solution of x + 6y = 6 is (a.)x = 12, y = −1 (b.) x = 6, y = 0 (c.) Both 1 and 2 (d.) x = 0, y = 7 7. The sum of three consecutive natural num- bers is 114 , then the numbers are (a.)38,39,40 (b.) 38,40,44 (c.) 37,38,39 (d.) 38,40,42 8. If 4x + 2 = x + 8, then x = (a.)4 (b.)2 (c.)3 (d.) 1 9. The solution of x + 4 = 0 is (a.)2 (b.)- 2 (c.) -4 (d.)3 10. If x 3 = −15, then x = (a.)-5 (b.)-45 (c.) 45 (d.) 5 JEE MATN LEVEL - 1 1. If 3 4 (x + 1) − 1 2 = x − 1, then x = (a.)6 (b.) -5 (c.) 5 (d.) -6 2. If (5x − 1)(ax + 1) = 3a(3x − 1), where x = 1, then (a.)a = 1 (b.) a = 2 (c.) 3 (d.) a = 4 3. If 7 1 9 x − 12 = −8 1 9 − 8 2 3 x, then x = (a.)−36 142 (b.) 35 142 (c.) −33 142 (d.) 37 142 4. If 2x+1 3x−2 = 9 10 , then (a.)x = 3 (b.) x = 4 (c.) x = 6 (d.) x = 8 5. If 7 is subtracted from five times a number, the result is 63 , then the number is (a.)12 (b.) 13 (c.) 14 (d.) 15 LINEAR EQUATION
CLASS VII MATH 6. If (2,0) is a solution of the linear equation 2x + 3y = k, then the value of k is (a.)3 (b.) 2 (c.) 4 (d.) 5 7. Twice a number when decreased by 7 gives 45 , then the number is (a.)23 (b.) 24 (c.) 25 (d.) 26 8. If 0.3 2x = 0.4 2.4 , then x = (a.)1.2 (b.) 0.9 (c.) 2.4 (d.) 5 9. If 3(5 − y) = 4(3y + 2) + 27, then y = (a.)4 3 (b.) −4 3 (c.) 2 (d.) −3 4 10. If a b = c d ⇒ ad = bc, then this process is called (a.)Cross multiplication (b.) Elimination (c.) Substitution (d.) Transposition 11. If a number is tripled, and the result is in- creased by 5 we get 50 , then the number is (a.)10 (b.) 15 (c.) 20 (d.) 25 12. Among the following, a solution that satis- fies the equation 5x − 2y = 13 is (a.)(3,1) (b.) (7,11) (c.) (5,6) (d.) All JEE MAIN LEVEL - 2 13. If x 4 + x 3 + x 6 = −3 4 , then x is (a.)1 (b.) -1 (c.) 2 (d.) -2 14. If 1 8 x + 1 6 x − x = 5 6 − 1 2 x, then x = (a.)-4 (b.) -3 (c.) -5 (d.) -2 15. If 3x−4 5 = 4, then the value of x is (a.)8 (b.) 20 (c.) 12 (d.) None of these 16. If x−5 10 + x+5 5 = 5, then value of x is (a.)15 (b.) 10 (c.) 5 (d.) 20 JEE MAIN LEVEL - 3 17. If 4x 3 − 3x 4 = 28, then the value of x is (a.)96 (b.) 48 (c.) 38 (d.) 24 18. If sum of four consecutive integers is 46 , then the four integers are (a.)11,12,13,14 (b.) 10,11,12,13 (c.) 6,7,8,9 (d.) 20,21,22,23 19. If 0.5x − 2.5 = 77.5 − 0.3x, then x is (a.)80 (b.) 10 (c.) 100 (d.) 100 8 20. If x 3 + 4 = x 2 + 3 1 2 , then x = (a.)1 (b.) 12 (c.) −1 2 (d.) 3 JEE MAIN LEVEL - 4
CLASS VII MATH 21. The solution of 7x + 4y = 18 is (a.)x = 3, y = 1 (b.) x = 2, y = 1 (c.) x = 4, y = 4 (d.) x = 5, y = 2 22. If 3x−1 4 − 2x+5 3 = 5 2 − 2x, then x = (a.)53 25 (b.) 43 25 (c.) 23 25 (d.) 63 25 JEE MAIN LEVEL - 5 23. If (y + 2, x + 3) = ( y 2 , x 3 ), then (−x, −y) = (a.)(4, −9 2 ) (b.) (−4, 9 2 ) (c.) ( 9 2 , 4) (d.) (−4, −9 2 ) 24. The ratio of boys and girls in a class is 4: 1. If total number of students in the class is 60 , then the number of boys and girls in the class is (a.)50,10 (b.) 48,12 (c.) 46,14 (d.) 44,16 JEE ADVANCED LEVEL - 1 COMPREHENSION TYPE If ax + b = cx + d, then x = d−b a−c 25. If 75x + 4 = 6.5x + 2, then x = (a.)-2 (b.) 2 (c.) 4 (d.) -4 26. If 0.8x + 7 = 0.5x + 10.5, then x = (a.)3.5 0.3 (b.) 3.5 1.3 (c.) 17.5 1.3 (d.) 17.5 0.3 27. If 0.3x + 0.4 = 0.28x + 1.16, then x = (a.)54 (b.) 58 (c.) 27 (d.) 38 MULTIPLE CORRECT CHOICE TYPE : 28. If a = b, then according to equality, we multiply both sides with the same number we get (a.)ac = bc (b.) ad = bd (c.) a c = b c (c ≠ 0) (d.) a b = c 29. If x+3 4 = 5 and y−2 3 = 6, then the value of x + y is (a.)36 (b.) 37 (c.) 74 2 (d.) 78 2 Matrix Match Type: 30. Match the following Column-I Column-II a) A mathematical sentence is p) x + 5 = 9 b) A mathematical statement is q) 2 + 1 > 2 c) An equality is r) 2 × 3 = 6 d) An open sentence is s) x + y + 2 = 1 t) 2x + 4 < 10 REASONING TYPE: 31. Statement (A): 3 + 17 ≥ 20 is a mathemat- ical statement. Statement (B) : 3x − y + 2z is a mathemat- ical statement. (a.)statement A is correct (b.) statement B correct (c.) A and B are correct (d.) both A & B one wrong
CLASS VII MATH JEE ADVANCED LEVEL-2&3 Matrix Match Type: 32. Match the following Column-I Column-II a) If y 4 + y 6 = y 12 + 12, then y = p) 10 b) If 0.6z+8 0.8z−6 = 7, then z = q) −32 11.3 c) If 7.4a+8 7.5a+18 = 4, then a = r) -36 d) If b 8 + 7 = b 6 − 4, then b = s) 36 d) If b 8 + 7 = b 6 − 4, then b = t) 264 JEE ADVANCED Matrix Match Type: 33. Match the following Column-I Column-II a) If (x + 4,3y − 2) = (7, −5), then (x, y) = p) (2,0) b) If (a + 2, b + 1 2 ) = (3,4), then (a, b) = q) (3, −1) c) If ( p 3 , q + 5) = (−1, −2), then (p, q) = r) (−2,5) d) If ( a 2 + 1, b + 1 2 ) = (2, 1 2 ), then (a, b) = s) (1, 7 2 ) t) (−3, −7) WORKSHEET 02 CUQ 1. The system of two linear equations in two same variables taken together is called (a.)system of simultaneous linear equations in two variables (b.) system of simultaneous linear equations in one variable (c.) system of equations (d.) system of inequations 2. If x + y = 3 and 4x − 3y = 26, then x = (a.)7 (b.) 5 (c.) 3 (d.) 6 3. If 2x + y − 7 = 0 and x + 3y = 11, then value of y is (a.)3 (b.) 7 (c.) 2 (d.) 5 4. If x + y = 3 and 4x − 3y = 26, then y = (a.)5 (b.) 4 (c.) 2 (d.) -2 5. 2x + y − 7 = 0 and x + 3y = 11, then value of x is (a.)2 (b.) 3 (c.) 4 (d.) 5 6. If 8 x − 5 y = 34 and 3 x − 2 y = 13, then y is (a.)1 4 (b.) 1 3 (c.) − 1 2 (d.) 1 2 7. If 59x + 47y = 631 and 47x + 59y = 535, then x + y is (a.)12 (b.) 11 (c.) 13 (d.) 14 8. The solution of the system of the equations x − y = 0 and 2x − 2y = 0 is (a.)(1,1) (b.) (0,0) (c.) (3,3) (d.) All the above 9. The solution of the system of the equations x + y = 4 and x − y = 6 is (a.)(5,1) (b.) (5, −1) (c.) (2,2) (d.) (7,1)