x + a = b: Mixed Review
Mathematics
Grade 7
13 questions
~26 mins
1 views0 downloads
About This Worksheet
A worksheet focused on solving and understanding x + a = b for Grade 7 students. It covers procedural skills, reasoning, real-world applications, and extension challenges.
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x + a = b: Mixed Review
Subject: MathematicsGrade: Grade 7
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Date:
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Untitled Worksheet
Grade Grade 7
A
Fluency & Practice
Solve the following equations by isolating x. Show your working in the grid spaces provided.
1.
Solve for x: x + 5 = 12
[2 marks]2.
Calculate x: x + (-3) = 4
[2 marks]3.
Find x: x + 0 = 9
[2 marks]B
Problem Solving & Reasoning
Work through the problems step-by-step and explain your reasoning where required.
1.
If x + a = b, and x = 10, what is the value of a if b = 15? Show your working.
[3 marks]2.
Solve for x: If x + 8 = 13, what is x? Explain your steps.
[3 marks]3.
A savings account increased by $a each month, starting at $x. After 6 months, the total increase is $b. Write an equation for this situation and find x if a = 20 and b = 120.
[3 marks]C
Real-world Applications
Apply your understanding to solve these real-life problems.
1.
A gym membership costs $a plus a flat fee of $b per month. If the total cost x after one month is $50, and the fixed fee is $10, find the monthly fee a.
[3 marks]2.
A farmer has x chickens and sells a chickens each day, earning $b per chicken. After selling for some days, he earns a total of $c. Write an equation for total earnings and find the number of chickens sold if x=10 and total earnings are $200.
[3 marks]D
Challenge & Extension
Attempt these harder problems to extend your understanding.
1.
Solve for x: x + 3 = 2x - 4. Show your working.
[3 marks]2.
Construct an equation x + a = b where a = 15 and x = 10. Find b and verify your solution.
[3 marks]E
Mixed Review
Answer these questions of various types to review your skills.
1.
Solve for x: x + (-7) = 3
[2 marks]2.
Identify the mistake in solving x + 4 = 2, where someone said x = -2 because they subtracted 4 from both sides. Correct the error.
[2 marks]3.
Plot the graph of y = x + 3 on the grid. Draw at least three points.
[2 marks]Quick Actions
What is Remix?
Create a new worksheet based on this one. Change the grade level, topic, number of questions, or difficulty - then generate a fresh version.
- • Change grade level (Grade 6 → Grade 7)
- • Swap topics (Harry Potter → Macbeth)
- • Add more questions (10 → 15)
- • Adjust difficulty
Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet