a² - b²: Mixed Review
Mathematics
Grade 7
11 questions
~22 mins
1 views0 downloads
About This Worksheet
This worksheet reviews the key concept of the difference of two squares, a² - b², through a variety of practice and problem-solving questions suitable for Grade 7 students.
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Full preview • 11 questions
a² - b²: Mixed Review
Subject: MathematicsGrade: Grade 7
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Date:
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Untitled Worksheet
Grade Grade 7
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Simplify the expression a² - b² when a = 7 and b = 3.
[2 marks]2.
Factor the expression x² - 16.
[2 marks]3.
Calculate the value of (9² - 6²).
[2 marks]4.
Factor the expression 25a² - 49b².
[2 marks]5.
Expand and simplify: (x + 5)(x - 5).
[2 marks]6.
A rectangle has length (a + 3) and width (a - 3). Express its area and simplify using difference of squares.
[3 marks]7.
Factor the expression 81x² - 25.
[2 marks]8.
Solve for x: x² - 36 = 0.
[2 marks]9.
Construct a rectangle on the grid with length (x + 4) and width (x - 4). Write the area expression.
[3 marks]10.
Identify and fix the mistake: Simplify a² - b² as a - b.
[2 marks]11.
Prove that (x + y)(x - y) = x² - y² for any real numbers x and y.
[4 marks]Quick Actions
What is Remix?
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet