Module 2 · Algebra Foundations
Chapter 7: Linear Equations
Algebra
6 topics
What this chapter covers
The 6 topics below make up Linear Equations on the Digital SAT. Click any topic to open its notes, examples and practice test.
1One-Step Equations
2Two-Step Equations
3Multi-Step Equations
4Variables on Both Sides
5Literal Equations
6Formula Rearrangement
Study material & tests
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Notes, worked examples and hint-guided practice for every topic.
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25 fresh mixed-difficulty questions, timed, with full solutions.
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Formula Reference Sheet
This chapter
Solving principles
| Balance rule | do the same operation to both sides |
|---|---|
| Inverse operations | + undoes −, × undoes ÷ |
| Goal | isolate the variable on one side |
| Check | substitute the answer back in |
Rearranging
| Distribute first | a(b + c) = ab + ac |
|---|---|
| Combine like terms | before isolating the variable |
| Literal equation | solve for one letter in terms of others |
Digital SAT reference
Area & Circumference
| Circle area | A = πr² |
|---|---|
| Circle circumference | C = 2πr |
| Rectangle | A = ℓw |
| Triangle | A = ½ b h |
Volume
| Rectangular box | V = ℓwh |
|---|---|
| Cylinder | V = πr²h |
| Sphere | V = 4⁄3 πr³ |
| Cone | V = 1⁄3 πr²h |
| Pyramid | V = 1⁄3 ℓwh |
Right triangles
| Pythagorean theorem | a² + b² = c² |
|---|---|
| 30°–60°–90° | sides x : x√3 : 2x |
| 45°–45°–90° | sides s : s : s√2 |
Constants
| Degrees in a circle | 360° |
|---|---|
| Radians in a circle | 2π |
| Angles of a triangle | sum = 180° |
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