Madhulika thought of a number, doubled it and added 20 to it. On dividing the resulting number by 25, she gets 4. What is the number? 1. Ranika wanted her friend Radhika’s mobile number. But Radhika played a trick. She gave her the number as 9XYZP1Q2R3 and told her to decode it with the help of following equations : (a) 16 – 35 = 7 – 8 6Y − 7 1 (b) = 3Y + 9 3 Z 2 − 9 −5 (c) = 5 + Z2 9 3 13 (d) P + P = 10 10 (e) 4(Q + 4) = 5(Q + 2) (f) 3(R+10) + 200 = 236 2. Determine the missing value in the puzzle below : 3. Game : Who will be the Lakhpati ??? Rohit and Saurabh are playing a game. The one who solves the following equations will be a winner. Find out if you were at their place would you have been be a winner. Till what money did you reach successfully? Rules of the game (a) You can only move to the next problem if the previous answer is correct. (b) Winning amount slab Question Number Amount Won 1 Rs. 1,000 2 Rs. 2,000 3 Rs. 3,000 4 Rs. 4,000 5 Rs. 10,000 6 Rs. 12,000 7 Rs. 14,000 8 Rs. 20,000 9 Rs. 40,000 10 Rs. 1,00,000 (c) Problems: x +1 3
- (i)= 2x + 7 8 1 2
- (ii)+ =2 ( x − 1) ( x + 1) 6x + 1 x −3
- (iii)+1 = 3 6
- (iv)3m = 7m – −6 (v) –x = ( x − 10) 7 3 (vi) 5x + = x − 14 2 2 x 8 (vii) +1 = 3 15 x 3x 5x (viii) + − =2 2 4 6 (ix) + 4 = 14 2 x x (x) x + x+ = 97 − 3 7 2 4. Work with a partner. Modelling the Equation Material Required : Glasses and containers, Equation met 5x – 6 = 4 – – + + – – = + – – + Add 6 positive containers to each side of the equal and then remove the zero pairs. 5x – 6 + 6 = 4 + 6 + + = + + + + Arrange the glasses and 5x = 10 containers into five equal + + groups. + + Each Cup is matched with 2 positive contents. So, x = 2. Model the following equations: (i) 3x – 3 = 12 (ii) 12x + 4 = 24 (iii) 7y + 14 = 7 5. Cross word puzzle. Solve the given crossword and then fill up the given boxes. Clues are given below for across as well as downward filling. Also, for across and down clues, clue number is written at the corner of the boxes. Answers of clues have to be filled up in their respective boxes. Down 1. Inverse of addition. 4. A symbolic form made up of constants, variables and operation (other than algebraic expressions). 5. If a term of an expression consists of a number multiplied by one or more variables, this number is the __________________ of the term. 6. Inverse of division. 7. Equations that have the same solution. 8. An _____________ in an equality which is true for all values of the variable in the equality. Across 2. A statement formed when an equal sign in placed between two expressions. 3. 2(x+5) = 2x+10. This is an example of what property. 9. Branch of mathematics concerned with operation by symbolic numbers. 10. A linear equation of the form Ax + By = C when A and B both are not zero is in the _____________________. 11. An expression is _________________ if it has no grouping symbols and all the like terms have been combined. UNIT-4 LINEAR EQUATIONS IN ONE VARIABLE 125 MATHEMATICS Rough Work UNIT-4 Rough Work LINEAR EQUATIONS IN ONE VARIABLE 127 MATHEMATICS Rough Work
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