# ACT D05 Math Answer Explanations

Translations

Ratios

Equivalent expressions

Ratios, Scientific Notation

Perimeter of Rectangle

Laws of exponents

Constant rate, Rectangular solids

Ratios, Rectangular solids

Trigonometry for Right Triangles

Area of Triangle

Complex Number, Undefined fraction

Area of Circle, Area of Triangle, Equation of a Circle, Tangent to a circle

Solving equations

Area of Rectangle(square)

System of three equations

Division of imaginary numbers (the use of conjugates)

Absolute value, Adding, subtracting, multiplying and dividing positive and negative numbers

Cube Root, Square Root

Composite functions

Pythagorean Theorem and Special Right Triangles, Trigonometry for Right Triangles

Area of Rectangle(square), Arithmetic sequences, Unit Conversions (Feet to inches, miles to feet, hours to seconds)

Funny functions

Laws of exponents

Pythagorean Theorem and Special Right Triangles, Speed, Distance, and Time

Area of Triangle, Pythagorean Theorem and Special Right Triangles

Solving pairs of equations

Solve a System of Nonlinear Equations

Speed, Distance, and Time, Unit Conversions (Feet to inches, miles to feet, hours to seconds)

Equation of Line, Slope

Distance formula (distance between 2 points, vertical distance, horizontal distance)

Statistics (Mean, Median, Mode, Standard Deviation)

Speed, Distance, and Time, Unit Conversions (Feet to inches, miles to feet, hours to seconds)