Year 7 Algebra & Linear Equations Hub
Bridge the primary to high school mathematics gap. Master variable substitution, simplifying like terms, and solving one-step and two-step linear equations.
Curriculum Overview & Practical Context
Core Concepts Tested in Year 7
Understanding variables as placeholders for unknown numbers
Distinguishing between terms, coefficients, constants, and operators
Collecting like terms containing identical variable combinations
Applying inverse operations to solve two-step linear equations (e.g. 3x + 5 = 26)
Interactive Practice Questions with Worked Solutions
Select an answer to reveal immediate teacher-style step-by-step explanations.
Simplify the algebraic expression: 5x + 3y - 2x + 7y - 4
If a = 4, b = -2, and c = 5, what is the numerical value of: 2a - 3b + c?
Solve for x in the equation: 4x - 7 = 25
Parent Home Practice Checklist
- Emphasise that the equals sign (=) represents a balanced set of scales, not just "the answer is".
- Encourage showing each line of working vertically rather than attempting multi-step algebraic operations mentally.
- Check negative number sign rules carefully: subtracting a negative number creates addition.
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