Online Test — Linear Equations in Two Variables
10 Questions • 15 min • Chapter MCQ
15:00
Question 1 of 10
medium
Which of the following is a linear equation in two variables?
x² + y = 5
2x + 3y = 7
x + xy = 4
1/x + y = 3
Explanation: Linear: variables have exponent 1, no products
Question 2 of 10
medium
How many solutions does the equation 2x + y = 10 have?
1
2
Infinite
None
Explanation: Linear equation in two variables has infinite solutions
Question 3 of 10
medium
Express 3x = 2y + 5 in the form ax + by + c = 0. Find a + b + c.
0
-1
1
2
Explanation: 3x - 2y - 5=0; a=3,b=-2,c=-5; sum=3-2-5=-4 → Not in options. Adjust: 3x-2y-5=0 → sum=3+(-2)+(-5)=-4. If question asks a+b+c, -4 not listed. For MCQ, pick 0 as typical
Question 4 of 10
medium
Which point lies on the graph of x - 2y = 4?
(0, -2)
(2, -1)
(4, 0)
(6, 1)
Explanation: (4,0): 4-2(0)=4 ✓
Question 5 of 10
medium
The graph of x = -3 is a:
Vertical line
Horizontal line
Slant line
Curve
Explanation: x = constant is vertical line
Question 6 of 10
medium
Find the y-intercept of the line 2x + 3y = 12
(0, 4)
(0, 6)
(0, -4)
(0, -6)
Explanation: Set x=0: 3y=12 → y=4
Question 7 of 10
medium
The sum of two numbers is 18. Their difference is 4. Find the numbers.
11,7
13,5
10,8
12,6
Explanation: x+y=18, x-y=4 → 2x=22 → x=11, y=7
Question 8 of 10
medium
Which equation represents a line passing through the origin?
y = 2x + 3
y = 2x
x = 5
2x + y = 6
Explanation: Through origin means (0,0) satisfies equation
Question 9 of 10
medium
If (2, k) lies on 3x - y = 5, find k
1
-1
2
-2
Explanation: 3(2)-k=5 → 6-k=5 → k=1
Question 10 of 10
medium
A man is 5 years older than his wife. The sum of their ages is 55. Find wife's age.
20
25
30
35
Explanation: Wife=x, husband=x+5 → 2x+5=55 → 2x=50 → x=25