Vidaara.orgClass 6 · Mathematics
CodeVID-M06-09-CHK-01
Checking Solutions by Substitution - Assignment
Name: ____________________
Roll No.: __________
Date: ____________
General Instructions
- All questions are compulsory.
- Section A carries 1 mark each, Section B 2 marks, Section C 3 marks and Section D 5 marks.
- Show all working for Sections B, C and D. Only final answers are given at the end — for full solutions, raise your doubts with your teacher.
Section A — Multiple Choice Questions
5 × 1 = 5 marks
1.
To check a solution, ___ it back into the equation.
- A.remove
- B.substitute
- C.double
- D.ignore
2.
If both sides are equal, the solution is:
- A.wrong
- B.correct
- C.zero
- D.negative
3.
Does $x=4$ satisfy $2x+1=9$?
- A.Yes
- B.No
- C.Cannot say
- D.Sometimes
4.
Checking confirms whether a solution is:
- A.large
- B.right
- C.prime
- D.even
5.
A wrong solution makes the two sides:
- A.equal
- B.unequal
- C.zero
- D.negative
Section B — Short Answer (2 marks)
4 × 2 = 8 marks
6.
Does $x=5$ satisfy $x+3=8$?
7.
Does $x=2$ satisfy $3x=9$?
8.
Check $x=6$ in $x-1=5$.
9.
Check $x=4$ in $2x=8$.
Section C — Short Answer (3 marks)
4 × 3 = 12 marks
10.
Check whether $x=7$ satisfies $2x-3=11$.
11.
Check whether $x=3$ satisfies $4x+1=12$.
12.
Check whether $x=10$ satisfies $\tfrac{x}{2}=5$.
13.
Check whether $x=5$ satisfies $3x-2=12$.
Section D — Long Answer (5 marks)
2 × 5 = 10 marks
14.
Solve $2x+5=17$ and check your answer by substitution.
15.
A student claims $x=4$ solves $3x-5=8$. Check whether this is correct and, if not, find the correct value.
Answer Key
Section A — Multiple Choice Questions
- (B) substitute
- (B) correct
- (A) Yes
- (B) right
- (B) unequal
Section B — Short Answer (2 marks)
- Yes.
- No.
- Yes.
- Yes.
Section C — Short Answer (3 marks)
- Yes ($14-3=11$).
- No ($13\ne12$).
- Yes.
- No ($13\ne12$).
Section D — Long Answer (5 marks)
- $x=6$ (check $17=17$).
- Incorrect ($3(4)-5=7$); correct $x=\tfrac{13}{3}$.
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