Vidaara.orgClass 7 · Mathematics
CodeVID-M7-06-CT
Inequalities (One Variable) — Full Chapter Test
Name: ____________________
Roll No.: __________
Date: ____________
General Instructions
- This is a full-length test covering the whole chapter — every topic is included.
- 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.
The symbol $\ge$ means:
- A.less than
- B.greater than or equal to
- C.equal to
- D.not equal
2.
Dividing an inequality by a negative number:
- A.keeps the sign
- B.flips the sign
- C.removes it
- D.doubles it
3.
The solution $x>2$ uses a ___ circle.
- A.open
- B.closed
- C.square
- D.dotted
4.
The solution $x\le4$ uses a ___ circle.
- A.open
- B.closed
- C.square
- D.dotted
5.
Solve $x+3>7$:
- A.$x>4$
- B.$x>10$
- C.$x<4$
- D.$x>3$
Section B — Short Answer (2 marks)
4 × 2 = 8 marks
6.
Solve $x+3>7$.
7.
Solve $x-2<5$.
8.
Solve $2x>10$.
9.
Solve $-x>3$.
Section C — Short Answer (3 marks)
4 × 3 = 12 marks
10.
Solve $2x+1\le9$.
11.
Solve $3x-4>11$.
12.
Solve $-2x<8$.
13.
Solve $\tfrac{x}{2}+1\ge4$.
Section D — Long Answer (5 marks)
2 × 5 = 10 marks
14.
Solve $3x-5\le2x+1$ and describe its graph.
15.
Solve $-3x+2>11$ and state the solution.
Answer Key
Section A — Multiple Choice Questions
- (B) greater than or equal to
- (B) flips the sign
- (A) open
- (B) closed
- (A) $x>4$
Section B — Short Answer (2 marks)
- $x>4$.
- $x<7$.
- $x>5$.
- $x<-3$.
Section C — Short Answer (3 marks)
- $x\le4$.
- $x>5$.
- $x>-4$.
- $x\ge6$.
Section D — Long Answer (5 marks)
- $x\le6$; closed circle at $6$, shaded to the left.
- $x<-3$.
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