Mathematics·Algebra·procedural
Equations with Two Unknowns
Find pairs of numbers that satisfy an equation with two unknowns (e.g. find pairs (a, b) where a + b = 10 or 2a + b = 15)
Suggested ages 10–11
Learning journey
Your child is beginning to work with algebra — using letters to represent unknown numbers, creating and following rules for number patterns, and translating word problems into mathematical equations.
Evidence of understanding
- List all whole-number pairs (a, b) where a + b = 12 with a, b > 0
- Find three pairs that satisfy 2x + y = 20
- Explain systematically how to generate all integer solutions to a two-variable equation within a given range
Assessment prompt
Can Equations with Two Unknowns find different pairs of numbers that both satisfy a rule — for example, all the pairs of whole numbers that add up to 10?
Standards alignment
No external standards are linked to this topic.