MCQ Questions

Question No. 1

Solve by elimination the following pairs of simultaneous equations.

Answer :

a) x + y = 14 and x − y = 2

b) x + y = −1 and 2x − y = −3

c) 2x + y = 5 and 2x − y = 3

d) x + 3y = 6 and −x + 8y = 5

e) 2x + y = 13 and x − y = 2

f) 3x − y = 9 and 4x − y = 14

Question No. 2

If y = ax + b, find the values of a and b given that y = 6 when x = 1 and y = 10 when x = 2.

Answer :

Question No. 3

Use the substitution method to solve these simultaneous equations.

Answer :

a) 2x + y = −3 and x − y = −3

b) x − y = 4 and 7x + 2y = 19

c) x − y = −5 and x + y = −1

d) x + 2y = 1 and 2x + 3y = 4

e) 3x − y = 5 and 2x + 5y = 9

f) 2x − y = 4 and 6x − 5y = 18

Question No. 4

Use substitution to determine constants in functional relationships.

Answer :

a) If y = ax + b, find a and b given y = 2 when x = 4 and y = −1 when x = 1

b) If y = ax² + bx, find a and b given y = 2 when x = 2 and y = −1 when x = 1

Question No. 5

Solve for x and y.

Question No. 6

Give the equations of the following straight lines.

Answer :

a)

b)

c)

d)

e)

f)

Question No. 7

Calculate the point of intersection of the following straight lines.

Answer :

a)

b)

c)

Question No. 8

Solve for x and y if:

Answer :

a) x − 4 = 2y and x² − xy − y² = −16 + 24y

b) x − 2y = −4 and y = −4/(x − 5)

e)

f)

Question No. 9

Solve the following simultaneous equations.

Answer :

a) x − 2y = 3 and x² − 5xy + 3y = 3

b) 2y − x − 2 = 0 and x² + xy − 5x + 3y = 3

c) 3x = 10 − y and 2x² − 7xy + 3y² = 0

d) 2x − y = 5 and 4x² − 4xy + 3y² = 43

f)

Question No. 10

Determine the point(s) of intersection of the pairs of graphs.

Answer :

a) y = x² − 9 and y = −3x + 9

b) y = 3x² − 3 and y = −3x + 3

c) y = −2x² + 8 and y = x + 2

d) y = x − 1 and y = x² − 1; determine the length AB

e) y = −3x + 9, y = −x² + 9 and y = x + 3; determine the coordinates of the points A, B, C, D, F and G

f) Sketch y = −x² − 4x and y = x + 6 on the same set of axes and solve −x² − 4x = x + 6

Question No. 11

Solve the following word problems.

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