Vidaara.orgClass 7 · Mathematics
CodeVID-M7-05-CT
One-Step & Two-Step Equations — 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.
A two-step equation needs how many inverse operations?
- A.$1$
- B.$2$
- C.$3$
- D.$0$
2.
To solve $2x+3=11$, first:
- A.divide by $2$
- B.subtract $3$
- C.add $3$
- D.multiply by $2$
3.
The solution of $3x-7=14$ is:
- A.$3$
- B.$7$
- C.$14$
- D.$21$
4.
The solution of $2x+5=15$ is:
- A.$5$
- B.$10$
- C.$20$
- D.$4$
5.
You check a solution by:
- A.guessing
- B.substituting it back
- C.rounding
- D.graphing
Section B — Short Answer (2 marks)
4 × 2 = 8 marks
6.
Solve $2x+5=15$.
7.
Solve $3y-4=11$.
8.
Solve $\tfrac{x}{3}+2=7$.
9.
Solve $4x-8=0$.
Section C — Short Answer (3 marks)
4 × 3 = 12 marks
10.
Solve $5x+3=-12$.
11.
Solve $\tfrac{x}{4}-2=3$.
12.
Solve $7-2x=1$.
13.
Solve $4(x-3)=20$.
Section D — Long Answer (5 marks)
2 × 5 = 10 marks
14.
Solve $5x-3=2x+9$ and verify.
15.
A number multiplied by $4$ and then increased by $6$ gives $30$. Form an equation and solve.
Answer Key
Section A — Multiple Choice Questions
- (B) $2$
- (B) subtract $3$
- (B) $7$
- (A) $5$
- (B) substituting it back
Section B — Short Answer (2 marks)
- $x=5$.
- $y=5$.
- $x=15$.
- $x=2$.
Section C — Short Answer (3 marks)
- $x=-3$.
- $x=20$.
- $x=3$.
- $x=8$.
Section D — Long Answer (5 marks)
- $x=4$ (check $17=17$).
- $4x+6=30\Rightarrow x=6$.
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