Advanced Equations
Year 8 advances to solving equations with variables on both sides, brackets, and fractions. Systematic use of inverse operations and algebraic manipulation solves these efficiently.
What You Need to Know
Key Concept Diagram
Collect variable terms on one side and constant terms on the other
Expand brackets before collecting like terms
Multiply through by the denominator to clear fractions from equations
Check your solution by substituting it back into the original equation
Key Vocabulary
Solution
The value of the variable that makes the equation true
Inverse operations
Operations that undo each other (add/subtract, multiply/divide)
Like terms
Terms with the same variable part that can be combined
Coefficient
The numerical factor multiplying a variable
Knowledge Check
Select the correct answer for each question. Click "Check Answer" to see if you are right.
Question 1
Solve: 3x + 7 = x + 19
Question 2
Solve: 2(x + 3) = 14
Question 3
Solve: x/3 + 2 = 5
Key Concepts Summary
- ●Collect variable terms on one side and constant terms on the other
- ●Expand brackets before collecting like terms
- ●Multiply through by the denominator to clear fractions from equations
- ●Check your solution by substituting it back into the original equation