Comprehensive Review: Mathematics Graphs, Sequences, and Eros Pharmacy Receipt

Vocabulary flashcards covering linear graph equations, mathematical sequence patterns, distance-time motion calculations, and transaction details from Eros Pharmacy.

Standard Form of a Straight Line Graph

The equation $y = mx + c$, where $m$ and $c$ are constants, and $x$ and $y$ are variables.

Gradient ($m$)

The number in front of $x$ in $y = mx + c$ that tells the steepness and direction of a line, where a larger number means steeper, positive means sloping upwards, and negative means sloping downwards.

y-intercept ($c$)

The constant term in $y = mx + c$ that indicates the point where the straight line crosses the y-axis.

Sequence

A set of numbers arranged in a specific order obeying a specific rule or pattern.

Term ($n$)

Individual elements or numbers in a sequence, represented as $T_n$ to give the value or formula for the $n$th term.

Arithmetic Progression (AP)

A sequence that has a constant difference ($d$) formed by adding the same positive or negative value.

Geometrical Progression (GP)

A sequence that has a constant ratio ($r$) formed by multiplying the same whole number or fractional value.

Fibonacci Sequence

A sequence starting $1, 1, 2, 3, 5, 8, 13, 21, \frac{}{}$ where each term is found by adding the previous two terms.

Triangular Numbers

A sequence $1, 3, 6, 10, 15, 21, 28, \frac{}{}$ representing the number of dots needed to form successive triangular patterns.

Windhoek High School Graphs Test Memorandum

A 37-minute Grade 9 test on straight line and practical graphs prepared by examiner Mr M Iipinge on 04 September 2025.

Undefined Gradient

The gradient of a vertical straight line, such as line AB defined by the equation $x = 3$.

Parallel Lines

Lines that have the exact same gradient; for example, the line parallel to $y = 5x + 3$ cutting the y-axis at the origin is $y = 5x$.

Perpendicular Lines

Lines whose gradients multiply to $-1$; for example, the line perpendicular to $y = 5x + 3$ cutting the y-axis at $-7$ is $y = -\frac{1}{5}x - 7$.

Bruce and Jason's Distance-Time Graph Journey

A graph depicting Bruce walking $150\text{m}$ to Jason's home, staying $10\text{min}$, both walking to the park at $30\text{m/min}$ ($1.8\text{km/h}$), staying $35\text{min}$, and Bruce walking home at $60\text{m/min}$.

Eros Pharmacy Cash Sale Receipt

A tax invoice cash sale (C0992538) issued on 2026/08/18 by cashier Luvisa at Maerua Centre, Windhoek, Namibia, totaling $445.35$ including $15\text{\%}$ VAT.

Rehidrat Blackcurrant Sachets 6'

A pharmacy product (code 000815187011) sold at Eros Pharmacy for $159.55$.

Standard Form of a Straight Line

The equation $y = mx + c$, where $m$ represents the gradient and $c$ represents the y-intercept.

Gradient ($m$)

The coefficient of $x$ in the straight-line equation $y = mx + c$ that determines the steepness and direction of the line.

y-intercept ($c$)

The constant term in the straight-line equation $y = mx + c$ indicating the point where the line crosses the y-axis.

Undefined Gradient

The gradient of a vertical straight line, such as line $AB$ given by the equation $x = 3$.

Equation of the x-axis

The horizontal line equation defined by $y = 0$.

Sequence

A set of numbers arranged in a specific order obeying a specific rule or pattern, as defined in Mrs Rall's Grade $9$ lesson notes.

Term ($n$)

The individual elements or numbers in a sequence, where $T_n$ represents the $n\text{th}$ term's formula or answer.

Arithmetic Progression (AP)

A sequence characterized by a constant difference ($d$) obtained by adding or subtracting the same value.

Geometrical Progression (GP)

A sequence characterized by a constant ratio ($r$) obtained by multiplying by the same whole number or fraction.

Fibonacci Sequence

A sequence starting as $1, 1, 2, 3, 5, 8, 13, 21, 34, \text{\raisebox{-0.5ex}{\textasciitilde}}$ where each term is calculated by adding the previous two terms.

Triangular Numbers

A pattern sequence of numbers beginning with $1, 3, 6, 10, 15, 21, 28, \text{\raisebox{-0.5ex}{\textasciitilde}}$.

Square Numbers Sequence

The number pattern $1, 4, 9, 16, 25, \text{\raisebox{-0.5ex}{\textasciitilde}}$ generated by the general rule $T_n = n^2$.

Cube Numbers Sequence

The number pattern $1, 8, 27, 64, \text{\raisebox{-0.5ex}{\textasciitilde}}$ generated by the general rule $T_n = n^3$.

Mr M Iipinge

The examiner for the Windhoek High School Grade $9$ mathematics test memorandum on straight line and practical graphs dated $04$ September $2025$.

Bruce's Walking Speed to the Park

The speed calculated from the distance-time graph as $30\text{ m/min}$ or $1.8\text{ km/h}$ over a distance of $450\text{ m}$ in $15\text{ min}$.

Eros Pharmacy

A pharmacy located at Shop $10$, Ombaramba Road, Maerua Centre, P.O. Box $9419$, Maerua Park, Windhoek, Namibia.

Luvisa

The cashier on till $0001$ at Eros Pharmacy who issued cash sale tax invoice $C0992538$ for $5.000$ items totaling $445.35$ on $2026/08/18$ at $16\text{H}00$.

Mylocort Cream 25g

Product item code $000745472001$ sold at Eros Pharmacy for $103.20$.

Rehidrat Blackcurrant Sachets 6'

Product item code $000815187011$ sold at Eros Pharmacy for $159.55$.