What you will be able to do
- Variables represent quantities, not mystery boxes.
- Equations describe equal relationships.
- Functions connect inputs to outputs.
- Graphs, tables and equations can describe the same relationship.
The four big ideas of Algebra 1
| Idea | Question | Example |
|---|---|---|
| Expressions | How can a quantity be represented? | 3x + 5 |
| Equations and inequalities | Which values make a relationship true? | 3x + 5 = 20 |
| Functions | How does one quantity depend on another? | y = 3x + 5 |
| Representations | How do table, graph, rule and context connect? | Rate 3 and initial value 5 |
Example: preserve equality
Worked example 1
Solve 3x + 5 = 20.
- 1.Subtract 5 from both sides: 3x = 15.
- 2.Divide both sides by 3: x = 5.
Answer: x = 5
Check: 3(5) + 5 = 20.
Example: interpret a function
Worked example 1
A service costs C(h) = 12h + 30.
- 1.30 is the starting cost when h = 0.
- 2.12 is the cost per hour.
- 3.For 4 hours: C(4) = 48 + 30.
Answer: $78
Check: Units connect hours to dollars.
A sensible learning order
Open the Algebra 1 skills checklistStart the linear-equations worksheetGraph linear equations
- 1Repair signed-number and fraction fluency.
- 2Simplify expressions using properties.
- 3Solve equations and inequalities.
- 4Read and graph linear relationships.
- 5Work with functions and multiple representations.
- 6Solve systems and model contexts.
- 7Extend to exponents, polynomials, quadratics and exponentials.
When independent practice is not enough
Get live, teacher-led Algebra 1 support
Review the current programme format, Texas focus, class schedule, teacher support, parent reporting, pricing and free placement diagnostic before deciding whether it fits your child.
Useful answers
Frequently asked questions
Is Algebra 1 only about solving for x?
No. It also includes functions, graphs, systems, inequalities, polynomials, quadratics, exponentials and mathematical modelling.
What should I review before Algebra 1?
Signed numbers, fractions, ratios, coordinate graphs, properties and multi-step arithmetic are especially useful.
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Sources, scope and accuracy
The worked examples and practice questions on this page are original Cambridge Veritas learning materials, not released STAAR items. Curriculum and testing details can change; use the linked Texas Education Agency pages for current official information. Cambridge Veritas is not affiliated with or endorsed by TEA.