Module 2 · Algebra Foundations
Chapter 6: Algebraic Expressions
Algebra
7 topics
What this chapter covers
The 7 topics below make up Algebraic Expressions on the Digital SAT. Click any topic to open its notes, examples and practice test.
1Variables
2Constants
3Terms
4Coefficients
5Like and Unlike Terms
6Simplification
7Evaluating Expressions
Study material & tests
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Formula Reference Sheet
This chapter
Building blocks
| Term | a number, a variable, or a product of them |
|---|---|
| Coefficient | the number multiplying a variable |
| Constant | a term with no variable |
| Like terms | same variable(s) to the same power |
Working with expressions
| Combine like terms | add/subtract their coefficients |
|---|---|
| Distributive law | a(b + c) = ab + ac |
| Evaluate | substitute values, then simplify (order of operations) |
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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