Worksheets › Class 9 › Two Variables, One Line
Class 9 Two Variables, One Line worksheet
CBSE Mathematics. Solutions, points on a line, equations from word problems. Every sheet has 20 questions in three sections and an answer key, and the numbers change every time.
Sample questions
Real questions from this chapter, as the app sets them. Tap Answer to see the answer and working.
Section A · multiple choice
- 1.
Which point lies on the line x − y = 0?
- (2, 1)
- (3, 2)
- (1, 2)
- (2, 2)
Answer
(d) (2, 2)
1 × 2 + (−1) × 2 = 0
- 2.
If (7, k) is a solution of 9x + 8y = 127, then k equals:
- 127
- 9
- 8
- −8
Answer
(c) 8
9 × 7 + 8k = 127, so k = 8
- 3.
The equation y = −6x + 9 in the form ax + by + c = 0 is:
- −6x − y − 9 = 0
- x + 6y + 9 = 0
- −6x + y + 9 = 0
- −6x − y + 9 = 0
Answer
(d) −6x − y + 9 = 0
move y to the right-hand side
Section B · short answer
- 4.
Find two solutions of 2x + 7y = 70.
Answer
e.g. (0, 10) and (35, 0)
x = 0 gives y = 10; y = 0 gives x = 35
- 5.
Is (3, −1) a solution of 8x + 3y = 23? Give a reason.
Answer
No
8 × 3 + 3 × (−1) = 21, not 23
Section C · long answer
- 6.
A taxi charges Rs 46 for the first km and Rs 16 for every km after that. Write an equation for the fare y for x km, and find the fare for 12 km.
Answer
y = 16x + 30; Rs 222
y = 46 + 16(x − 1) = 16x + 30; y = 16 × 12 + 30 = 222
Fresh sheets for your child
In the app, every Two Variables, One Line sheet is new: the app remembers the questions your child has already had and leaves them out. Print the sheet as a PDF, or use notebook mode and write the answers in a notebook.
Coming soon for Android and iPhone.