Below is a road map that presents the overall organization of the ACT Math Booster to assist you in knowing where you are in the course and where you are going.
| Overview | |||||
|---|---|---|---|---|---|
| Pre-Alg | Set #1 | PA L1 (AS 1) |
PA L1 (AS 2) |
PA L1 (AS 3) |
PA L1 (AS 4) |
| Pre-Alg | Set #2 | PA L2 (AS 5) |
PA L2 (AS 6) |
PA L3 (AS 7) |
PA L3 (AS 8) |
| Alg. I | Set #3 | PA L2 (AS 9) |
PA L2 (AS 10) |
PA L3 (AS 11) |
PA L3 (AS 12) |
| Alg. I | Set #4 | EA L1 (AS 13) |
EA L1 (AS 14) |
EA L2 (AS 15) |
EA L3 (AS 16) |
| Geometry | Set #5 | EA L2 (AS 17) |
EA L3 (AS 18) |
PG L1 (AS 19) |
CG L1 (AS 20) |
| Geometry | Set #6 | PG L2 (AS 21) |
CG L2 (AS 22) |
PG L3 (AS 23) |
CG L3 (AS 24) |
| Alg. II | Set #7 | PG L2 (AS 25) |
CG L2 (AS 26) |
IA L1 (AS 27) |
IA L2 (AS 28) |
| Alg. II | Set #8 | IA L2 (AS 29) |
IA L2 (AS 30 |
IA L3 (AS 31) |
IA L3 (AS 32) |
| Trig. | Set #9 | IA L2 (AS 33) |
T (AS 34) |
T (AS 35) |
T (AS 36) |
Subjects
PA = Pre-Algebra
EA = Early Algebra
IA = Intermediate Algebra
CG = Coordinate Geometry
PG = Plane Geometry
T= Trigonometry
Difficulty Level
L1 = Level 1 (easy) question which appears in questions #1-20 out of 60 questions
L2 = Level 2 (medium) question which appears in questions #21-40 out of 60 questions
L3 = Level 3 (hard) question which appears in questions #41-60 out of 60 questions
Math Breakdown by subject and topic
Pre-algebra (14 questions):
- Operations using whole numbers, fractions, decimals, and integers
- Numbers raised to positive integer powers and square roots of numbers
- Ratio, proportion, and percent
- Multiples and factors of integers
- Absolute value
- Ordering numbers from least to greatest or greatest to least
- Solving linear equations with one variable
- Simple probability and counting the number of ways something can happen
- Representing and interpreting data in charts, tables, and graphs
- Simple descriptive statistics like mean, median, and mode
Elementary Algebra (10 questions):
- Using variables to express relationships
- Substituting the value of a variable in an expression
- Performing basic operations on polynomial
- Factoring polynomials
- Solving simple quadratic equations (the kind that can be solved by factoring)
- Solving linear inequalities with one variable
- Applying properties of integer exponents and square roots
Intermediate Algebra (9 questions):
- Quadratic formula
- Radical and rational expressions
- Inequalities and absolute value equations
- Sequences
- Systems of equations
- Quadratic inequalities
- Functions
- Matrices
- Roots of polynomials
- Complex numbers
Coordinate Geometry (9 questions):
- Number line graphs
- Graphs of points, lines, polynomials, circles, and other curves in the standard (x, y) coordinate plane
- Relationships between equations and graphs
- Slope, parallel, and perpendicular lines
- Distance
- Midpoints
- Transformations
- Conics
Plane Geometry (14 questions):
- Properties and relations of plane figures (triangles, rectangles, parallelograms, trapezoids, and circles)
- Angles, parallel lines, and perpendicular lines
- Translations, rotations, and reflections
- Proof techniques
- Simple three-dimensional geometry
- Measurement concepts like perimeter, area, and volume
- Justification proof and logical conclusions are a part of this area
Trigonometry (4 questions):
- Trigonometric rations defined for right triangles
- The values, properties, and graphs of the trigonometric functions
- Trigonometric identities
- Trigonometric equations
- Modeling with trigonometric functions