Linear Equations in Two Variables Test

Result

Linear Equations in Two Variables Test - 3

Score
-
out of -
Rank
-
out of -

TIME Taken - -

SHARING IS CARING

If our Website helped you a little, then kindly spread our voice using Social Networks. Spread our word to your readers, friends, teachers, students & all those close ones who deserve to know what you know now.

Weekly Quiz Competition

Question 1
1 / -0

Which of the following equations satisfies the data given in the table below?

x 6 2 -2 0

y 1 -1 -3 -2

A
x = 2y + 4

B
2x = 3 + 9y

C
x + 1 = 2y - 2

D
x = 2y + 2

Solution

x = 2y + 4 satisfies all of the given sets of data, i.e.

(1) x = 2y + 4
6 = 2(1) + 4
6 = 6

(2) x = 2y + 4
2 = 2(-1) + 4
2 = 4 - 2
2 = 2

(3) x = 2y + 4
-2 = 2(-3) + 4
-2 = -6 + 4
-2 = -2

(4) x = 2y + 4
0 = 2(-2) + 4
0 = 0
Question 2
1 / -0

If the line represented by 7y = 2x + c passes through the origin, find the value of x, when y = 12.

A
42

B
24

C
0

D
-14

Solution

7y = 2x + c, passes through origin, i.e.
x = 0, y = 0, or (0, 0)

Putting the value of x = 0 and y = 0 in the equation we get,
7(0) = 2(0) + c
c = 0

Therefore, c must be 0, i.e.
7y = 2x

If y = 12, then x will be 7(12) = 2(x)
84 = 2(x)

x = 84/2

x = 42
Question 3
1 / -0

How many linear equations can pass through the point A(3, -12)?

A
Infinitely many

B
Only 144

C
Only 72

D
Only 36

Solution

Since any number of linear equations can be made to pass through the point A(3, -12), the answer to this question will be option 1.
Question 4
1 / -0

The graph of the linear equation 9x + 2y + 18 = 0 is a line which meets the x-axis at the point

A
(-2, 0)

B
(2, 0)

C
(0, 9)

D
(0, -9)

Solution

9x + 2y + 18 = 0
9x + 2y = -18

Since this line meets the x-axis, the value of y is 0, i.e. y = 0

9x + 2(0) = -18

9x = -18

x = -18/9

x = -2

Thus, the coordinates of the point will be (-2, 0).