Two-step equations
Undo two steps in reverse order to solve equations like 3x + 5 = 20.
A sample lesson from this module is playable in the demo. The full module is not written yet; it is not a finished course.
Why it matters
A motorbike-taxi fare with a fixed charge plus a price per kilometre is a two-step equation; working backwards tells you how far your money will take you.
Draft outline · in review- For
- Level 6–7 · Primary 6 to JSS 1
- Inside
- 5 lessons and a test · about 90 minutes
- Topic
- Linear equations · core, 2 of 4
Inside the module.
5 lessons in order, about 90 minutes in all, then a short test. Learners go at their own pace; the minutes are a guide, not a timetable.
Draft outline · in review
Lesson 1: Two steps forward
See how 3x + 5 is built: multiply by 3, then add 5.
Explain15 min, from minute 0
Lesson 2: Undo in reverse order
Subtract 5, then divide by 3, keeping both sides balanced.
Worked example20 min, from minute 15
Lesson 3: Practice
Solve two-step equations, including ones with subtraction and division.
Practice20 min, from minute 35
Lesson 4: Story problems
Turn a short story into a two-step equation and solve it.
Worked example20 min, from minute 55
Lesson 5: Review
Mixed questions, with feedback on each.
Review15 min, from minute 75
End-of-module test
Solve two-step equations by undoing operations in reverse order, and write and solve equations from short stories.
Mastered at 85% or more. Retake it until you pass; nothing is lost, and each try gives feedback.
Already know it? A Challenge Test (planned) clears the whole module: 90% overall, no objective below 75%.
Last stageafter about 90 min
Practicalities
Draft outline · in reviewBuilt to run offline
Planned to run on the Lantern's own computer, with no internet needed.
Languages
Planned first in English; every module aims to reach all of the Lantern's languages.
Try a question.
One question from the module, as a learner would meet it. Have a go, then open the worked solution a step at a time.
Draft outline · in review
Ngozi buys 4 exercise books and a pen. The pen costs ₦150 and she pays ₦950 in all. Write and solve an equation to find the price of one book.
Work it out on paper first, then show the answer and mark it yourself.
Particulars
Where it sits
What a learner can do after it
- Undo two operations in reverse order to solve equations like 3x + 5 = 20.
- Keep an equation balanced by doing the same to both sides.
- Write and solve a two-step equation from a short story problem.
Needs first
We suggest first (never a lock)
Level
Level 6–7 · Primary 6 to JSS 1
Level mappings are approximate. A qualified teacher or lecturer in each country must check them before they appear in the app.
Difficulty for its level
2 of 4 · Core
Time
About 90 minutes
Alignments
- Aligned to Common Corepartial · in review7.EE.B.4a
- Aligned to NERDCpartial · in reviewNERDC JSS 1 Mathematics: simple equations (descriptive ref)
Alignment in review until a qualified teacher or lecturer checks it. No exam body, university or vendor endorses us; learners still sit the real exam.
Challenge Test
Planned: a Challenge Test to prove you know it and skip it. Pass at 90% overall, with no objective below 75%.
University courses it previews
Mathematics, Engineering, Computer Science, Economics, Physics
On these pathways
The route here.
Everything this module builds on, drawn as a route from its foundations. Solid lanes must be mastered first, or cleared by a Challenge Test; dashed lanes are suggestions that never lock anything.
- MA-ARI-OPS-01Adding and subtractingMaths · Primary 1 to Primary 3 (Level 1–3) · Planned
- MA-ARI-OPS-02Multiplication as equal groupsMaths · Primary 2 to Primary 3 (Level 2–3) · Sample lesson in the demo Needs Adding and subtracting (required).Try the sample lesson: Multiplication as equal groups
- MA-ARI-OPS-03Division as sharing and groupingMaths · Primary 3 to Primary 4 (Level 3–4) · Planned Needs Multiplication as equal groups (required).
- MA-ARI-OPS-04Multiplying and dividing togetherMaths · Primary 3 to Primary 4 (Level 3–4) · Planned Needs Division as sharing and grouping (required).
- MA-ARI-ORD-01Order of operationsMaths · Primary 5 to Primary 6 (Level 5–6) · Planned Needs Multiplying and dividing together (required).
- MA-ALG-LIN-01What an equation meansMaths · Primary 5 to Primary 6 (Level 5–6) · Planned Needs Order of operations (required).
- MA-FDP-OPS-02Adding and subtracting with different denominatorsMaths · Primary 5 to Primary 6 (Level 5–6) · Planned · recommended
- MA-ALG-LIN-02One-step equationsMaths · Primary 6 (Level 6) · Planned Needs What an equation means (required).
- MA-ALG-LIN-03Two-step equationsMaths · Primary 6 to JSS 1 (Level 6–7) · Sample lesson in the demo · the destination Needs One-step equations (required), Adding and subtracting with different denominators (recommended).Try the sample lesson: Two-step equations
Help light the room where this is learned.
Every route on this map starts in a classroom with 24 stations, a tutor that works offline and a facilitator upstairs. Four are planned and waiting for light.