x + 5 = 12 solves to x = 7 and 3x = 21 also gives x = 7, so this Year 8 sheet opens with two inverse-operation solutions. The answers go on to 11, 5 and 6 as other equation values.
Key Takeaways
x + 5 = 12 gives x = 7 (Q1).
3x = 21 gives x = 7 (Q2).
Q3 records 11 as an equation solution.
Section A: Multiple Choice Questions (1 Mark Each)
Choose the correct option for each question.
1.Solve x + 5 = 12.
(a) 7(b) 17(c) 6(d) 8
2.Solve 3x = 21.
(a) 6(b) 7(c) 24(d) 18
3.Solve x - 8 = 3.
(a) 5(b) 11(c) 13(d) 8
4.Which of these numbers is a solution of x > 4?
(a) 3(b) 4(c) 5(d) 2
5.Solve 2x + 3 = 15.
(a) 6(b) 9(c) 8(d) 12
6.The statement x ≤ 7 means that x is...
(a) greater than 7(b) less than 7(c) greater than or equal to 7(d) less than or equal to 7
Section B: Short Answer Type Questions (2 Marks Each)
Show all steps clearly.
7.Solve x + 7 = 19.
8.Solve 4x = 36.
9.Solve x - 5 = 12.
10.Solve 2x + 1 = 17.
11.Solve x/3 = 6.
12.Write an inequality to show that x is greater than or equal to 5.
13.Solve 3x - 4 = 14.
14.List all the integers that satisfy 1 < x ≤ 4.
Section C: Numericals & Word Problems (3 Marks Each)
Apply the concepts to solve the problems. Show all working.
15.Three times a number is 45. Find the number.
16.When a number is added to 9 the result is 25. Find the number.
17.Sara is x years old. In 5 years time she will be 18. Write an equation and solve it to find Sara's age now.
18.Five pens and a 2-dollar notebook cost 27 dollars altogether. Each pen costs the same amount. Find the cost of one pen.
19.Ali thinks of a number, doubles it and subtracts 4 to get 20. Write an equation and solve it to find the number.
20.The sum of three consecutive integers is 36. Find the three integers.
Answer Key
1. a) 7
2. b) 7
3. b) 11
4. c) 5
5. a) 6
6. d) less than or equal to 7
7. Refer to solution guide.
8. Refer to solution guide.
9. Refer to solution guide.
10. Refer to solution guide.
11. Refer to solution guide.
12. Refer to solution guide.
13. Refer to solution guide.
14. Refer to solution guide.
15. Refer to solution guide.
16. Refer to solution guide.
17. Refer to solution guide.
18. Refer to solution guide.
19. Refer to solution guide.
20. Refer to solution guide.
End of Worksheet
People Also Ask
What solves x + 5 = 12?
x = 7, option (a) in this worksheet (Q1).
What solves 3x = 21?
x = 7, option (b) in this worksheet (Q2).
What is x + 4 = 15?
x = 11, option (b) in this worksheet (Q3).
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