Test No.2 Linear Equations In Two Variables

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A L G E B R A T E S T T E S T S N O . 2

Q1. Solve the following equations in one variable. 1. 2. 3. 4. 5.

(5 marks)

x + 18 = 4x 5x – 3 = 3x + 7 4(m + 3) = 16 4(3x – 1) = 3(2x – 5) 5x + 8 = 3x – 2

Q2. Draw the graphs of x – 5 = 0 and y = 3 on the same graph paper and find their point of intersection. (3 marks) Q3. Solve the following simultaneous equations by using Graphical Method. (3 marks) i.

x + y = 7; 2x – 3y = 9.

Q4. Solve each of the following simultaneous equations using the method of elimination by substitution: (6 marks) i. ii. iii.

2x + 3y = -4; x – 5y = 11. 5x + 8y = 9; 2x + 3y = 4. X + y = 7; 2x – y = 20.

Q5. Solve the following simultaneous equations.

(12 marks)

i.

ii.

iii. A two digit number is 4 times the sum of its digits. If 18 is added to the number, the new number obtained is that by interchanging the digits of the original number. Find the number.

Q6. Find the value of the following determinants: -

1.

2.

3.

(8 marks)

4.

Q7. Sum of ages of mother and her daughter is 60. After 15 years mother’s age will be twice as that of her daughter’s age at that time. Find their present ages.

(3 marks)

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Q1. Rewrite the following statements by selecting the correct option: (5 marks) i. The modern periodic table is based on ________________________________. a. The principle of octaves. b. The atomic number of elements. c. The atomic mass of elements. d. The presence of triads of elements. ii. The number of periods present in the modern periodic table is ________________. a. 7 b. 8 c. 16 d. 18 iii. The ______________ period is the longest period in the modern periodic table. a. 1st b. 5th c. 6th d. 7th iv. The group ____________ in the modern periodic table contains alkaline earth metals. a. IA b. IIA c. IIB d. IB v. Halogens belong to ______________ group in the modern periodic table. a. 15 b. 16 c. 17 d. 18 Q2. Rewrite the second column so as to match the first column (5 marks) Column1 Column2 i. Chlorine a. IA group ii. Sodium b. IIA group iii. Argon c. Zero group iv. Magnesium d. Electrodes as v. Electronic charge carrier conductor e. VIIA group

S C I E N C E I T E S T S N O .

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Q3. Define the following (Any 15) 15 marks 1. Group 2. Period 3. Inert gas elements 4. Normal elements. 5. Transition elements 6. Inner transition elements 7. Metalloids 8. Electrolyte 9. Cathode 10. Anode 11. Electrolysis 12. Electrodes 13. Electroplating 14. Anodising 15. s-block elements 16. Mendeleev’s periodic law. Q4. Distinguish between (Any 5) 10 marks. 1. Periods and groups in modern periodic table. 2. Mendeleev’s periodic table and modern periodic table. 3. Inert gas elements and normal elements. 4. Electrolyte and Non – electrolyte 5. Cathode and Anode 6. Electric current through metals and Electric current through electrolyte. Q5. Give Two names of (Any 5) 5 marks. 1. 2. 3. 4. 5. 6.

Member of 1st period Member of 2nd period Alkali metals Alkaline earth metals Elements of zero group Elements of halogen family