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Worksheets

set 4

Total questions: 15

Worksheet time: 8mins

Name
Class
Date
1.

The equation 2x – 3y = 5 has a unique solution, if x, y are:

a)

Natural numbers

b)

Positive real numbers

c)

Real numbers

d)

Rational numbers

2.

If (2, 0) is a solution of the linear equation 2x +3y = k, then the value of k is:

a)

4

b)

6

c)

5

d)

2

3.

The graph of x = 5 is a line:

a)

Parallel to x-axis at a distance 5 units from the origin

b)

Parallel to y-axis at a distance 5 units from the origin

c)

Making an intercept 5 on the x-axis

d)

Making an intercept 5 on the y-axis

4.

The equation y = 5, in two variables, can be written as:

a)

1 . x + 1 . y = 5

b)

0 . x + 0 . y = 5

c)

1 . x + 0 . y = 5

d)

0 . x + 1 . y = 5

5.

Any point on the line y = x is of the form:

a)

(a, –a)

b)

(0, a)

c)

(a, 0)

d)

(a, a)

6.

The graph of the linear equation 2x +3y = 6 cuts the y-axis at the point:

a)

(2, 0)

b)

(0, 3)

c)

(3, 0)

d)

(0, 2)

7.

If a linear equation has solutions (–3, 3), (0, 0) and (3, –3), then it is of the form:

a)

Y – x = 0

b)

X + y = 0

c)

–2x + y = 0

d)

–x + 2y = 0

8.

The graph of the linear equation 5x + 3y = 10 is a line which meets the x-axis at the point:

a)

(0, 3)

b)

(3, 0)

c)

(2, 0)

d)

(0, 2)

9.

Any point on the x-axis is of the form:

a)

(0, y)

b)

(x,0)

c)

(x, x)

d)

(x, y)

10.

x = 9, y = 4 is a solution of the linear equation:

a)

2x + y = 17

b)

X + y = 17

c)

X + 2y = 17

d)

3x – 2y = 17

11.

The positive solutions of the equation ax + by + c = 0 always lie in the:

a)

1st quadrant

b)

2nd quadrant

c)

3rd quadrant

d)

4th quadrant

12.

Equation of the line parallel to x-axis and 6 units above the origin is:

a)

X = 6

b)

X = –6

c)

Y = 6

d)

Y = –6

13.

The point of the form (a, –a) always lies on the line:

a)

X = a

b)

Y = –a

c)

Y = x

d)

X + y = 0

14.

The graph of x = 9 is a straight line:

a)

Intersecting both the axes

b)

Parallel to y-axis

c)

Parallel to x-axis

d)

Passing through the origin

15.

The linear equation 4x – 10y = 14 has:

a)

A unique solution

b)

Two solutions

c)

Infinitely many solutions

d)

no solution