Test No.1 Linear Equations In Two Variables

OMTEX – CLASSES T O T A L

M A R K S

4 0

A L G E B R A T E S T T E S T S N O . 1

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

(5 marks)

x + 9 = 4x y – 4 = 3y – 10 4(m + 3) = 16 4(3x – 1) = 3(2x – 5) 5x + 8 = 3x – 2

Q2. Draw the graphs of the following equations on the same coordinate system. (3marks) i. x+y=0 ii. x–y=0 iii. y = 2x. Are the lines concurrent? If so, write the coordinates of the point of intersection.

Q3. Solve the following simultaneous equations by using Graphical Method. (3 marks) i.

x + 2y = 9; x – 2y = - 5

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

5p = 3q – 1; p + 3 = q. 2x + 3y = - 4; x – 5y = 11. 2m + n + 2 = 0; 3m – n = 7.

Q5. Solve the following simultaneous equations.

(12 marks)

i.

ii.

iii. A two digit number is 4 times the sum of its digits. If 8 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)