# ACT72e Math Answer Explanations

### 2016 April(72E) Math Question 1

Ratios, Proportions, Percentages, Fractions

- Proportions & Ratios

### 2015 December(72E) Math Question 2

Statistics

- Mean, Median

### 2015 December(72E) Math Question 3

Word Problems

- Temperature

### 2015 December(72E) Math Question 4

Exponents, Radicals, & Scientific Notation

- Exponent Expressions

### 2015 December(72E) Math Question 5

Exponents, Radicals, & Scientific Notation

### 2015 December(72E) Math Question 6

Word Problems

- Cost

### 2015 December(72E) Math Question 7

Exponents, Radicals, & Scientific Notation

- Scientific Notation

Angles

- Circles

### 2015 December(72E) Math Question 9

Ratios, Proportions, Percentages, Fractions

- Percents & Fractions

### 2015 December(72E) Math Question 10

Matrices

- Addition & Subtraction

### 2015 December(72E) Math Question 11

Word Problems

- Distance, Speed, Time

### 2015 December(72E) Math Question 12

Perimeter, Area, Volume

- Triangles, Squares, Rectangles, Circles

### 2015 December(72E) Math Question 13

Word Problems

- Distance, Speed, Time

### 2015 December(72E) Math Question 14

Word Problems

- Distance, Speed, Time

### 2015 December(72E) Math Question 15

Algebraic & Function Expressions

- Simplify Algebraic Expressions

### 2015 December(72E) Math Question 16

Perimeter, Area, Volume

- Other Shapes

### 2015 December(72E) Math Question 17

Algebraic & Function Expressions

- Systems of Equations

### 2015 December(72E) Math Question 18

Probability

- Combinations

### 2015 December(72E) Math Question 19

Word Problems

- 1 Variable Equations

### 2015 December(72E) Math Question 20

Angles

- Parallel Lines

### 2015 December(72E) Math Question 21

Word Problems

- 1 Variable Equations

### 2015 December(72E) Math Question 22

Ratios, Proportions, Percentages, Fractions

- Percents & Fractions

### 2015 December(72E) Math Question 23

Perimeter, Area, Volume

- Triangles, Squares, Rectangles, Circles

### 2015 December(72E) Math Question 24

Equation of a Line

- Distance & Midpoint

### 2015 December(72E) Math Question 25

Graphing Properties

- Reflection, Rotation, Symmetry, Translation

### 2015 December(72E) Math Question 26

Perimeter, Area, Volume

- Triangles, Squares, Rectangles, Circles

### 2015 December(72E) Math Question 27

Statistics

- Mean, Median

### 2015 December(72E) Math Question 28

Ratios, Proportions, Percentages, Fractions

- LCM, GCF, Prime Numbers

- Factoring

### 2015 December(72E) Math Question 30

Perimeter, Area, Volume

- Mixed Shapes

### 2015 December(72E) Math Question 31

Trigonometry

- Pythagorean Theorem & sin cos tan

### 2015 December(72E) Math Question 32

Similar Triangles & Types of Triangles

- Triangle Types

### 2015 December(72E) Math Question 33

Graphing Properties

- Domain, Range, Asymptote, Undefined

### 2015 December(72E) Math Question 34

Ratios, Proportions, Percentages, Fractions

- LCM, GCF, Prime Numbers

### 2015 December(72E) Math Question 35

Algebraic & Function Expressions

- Systems of Equations

### 2015 December(72E) Math Question 36

Angles

- Other Shapes

### 2015 December(72E) Math Question 37

Perimeter, Area, Volume

- Mixed Shapes

### 2015 December(72E) Math Question 38

Graphing Properties

- Interpret Graphs or Figures

### 2015 December(72E) Math Question 39

Algebraic & Function Expressions

- Write Algebraic Expressions

- Factoring

### 2015 December(72E) Math Question 41

Equation of a Line

- Equations that Describe a Line

### 2015 December(72E) Math Question 42

Equation of a Line

- Distance & Midpoint

### 2015 December(72E) Math Question 43

Trigonometry

- Pythagorean Theorem & sin cos tan

### 2015 December(72E) Math Question 44

Graphing Properties

- Reflection, Rotation, Symmetry, Translation

### 2015 December(72E) Math Question 45

Perimeter, Area, Volume

- Triangles, Squares, Rectangles, Circles

### 2015 December(72E) Math Question 46

Graphing Properties

- Intersection of Lines

### 2015 December(72E) Math Question 47

Equation of a Line

- Equations that Describe a Line

### 2015 December(72E) Math Question 48

Absolute Values

- Absolute Value Expressions

### 2015 December(72E) Math Question 49

Perimeter, Area, Volume

- Other Shapes

### 2015 December(72E) Math Question 50

Ratios, Proportions, Percentages, Fractions

- LCM, GCF, Prime Numbers

### 2015 December(72E) Math Question 51

Trigonometry

- Pythagorean Theorem & sin cos tan

### 2015 December(72E) Math Question 52

Inequalities

- Graphing Inequalities

### 2015 December(72E) Math Question 53

Probability

- More than One Event

### 2015 December(72E) Math Question 54

Perimeter, Area, Volume

- Triangles, Squares, Rectangles, Circles

### 2015 December(72E) Math Question 55

Trigonometry

- Graphing Trig Functions

### 2015 December(72E) Math Question 56

Exponents, Radicals, & Scientific Notation

- Exponent Expressions

### 2015 December(72E) Math Question 57

Algebraic & Function Expressions

- Systems of Equations

### 2015 December(72E) Math Question 58

Perimeter, Area, Volume

- Other Shapes

### 2015 December(72E) Math Question 59

Ratios, Proportions, Percentages, Fractions

- Percents & Fractions

### 2015 December(72E) Math Question 60

Logarithms

- Logarithm Expressions