Year 7 Mathematics · Chapter 8
Keeping the Balance
Year 7 Mathematics, NSW Stage 4. Keeping the Balance, 10 lessons, written to the NSW Mathematics syllabus.
In this chapter
What the guide holds
Every lesson runs the same way: worked examples paired with a your-turn column, a four-stage practice ladder from fluency to exam-style questions, and full worked solutions for every question at the back of the chapter.
Includes three practice examinations on this chapter, sharing no question between them, each with its own worked solutions. Sit one and keep the other two for revision.
10 lessons
Lesson by lesson
- 8.1 Equations, expressions and solving by inspection
- 8.2 Equivalent equations and the balance model
- 8.3 Solving one-step equations
- 8.4 Solving two-step equations
- 8.5 Checking a solution by substitution
- 8.6 Equations with fractions
- 8.7 Equations with brackets
- 8.8 Using formulas
- 8.9 Solving word problems with equations
- Putting it together
Common questions
Questions about this chapter
- What does Keeping the Balance cover?
- Year 7 Mathematics, NSW Stage 4. Keeping the Balance, 10 lessons, written to the NSW Mathematics syllabus.
- How many lessons are in Keeping the Balance?
- 10 lessons: 8.1 Equations, expressions and solving by inspection, 8.2 Equivalent equations and the balance model, 8.3 Solving one-step equations, 8.4 Solving two-step equations, 8.5 Checking a solution by substitution, 8.6 Equations with fractions, 8.7 Equations with brackets, 8.8 Using formulas, 8.9 Solving word problems with equations, Putting it together.
- Is the Keeping the Balance study guide free?
- This page is free to read, with nothing to buy and no account to make. It sets out what the unit covers. The full guide isn't published online; it's what our tutors teach from in lessons.
- Can BTA tutor Year 7 Mathematics?
- Yes. We tutor Year 7 Mathematics one-on-one at any of our eight academies across five locations, online through Microsoft Teams, or in your home. All three cost the same hourly rate and the first consultation is free.
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