N4 Block 1 Revision Sheet 4 Vocabulary

Vocabulary and core concept flashcards based on N4 Block 1 Revision Sheet 4 (EF1.1 and R1.1).

Gradient Formula

The formula provided on the assessment sheet defined as $\text{Gradient} = \frac{\text{vertical height}}{\text{horizontal distance}}$.

Bracket Expansion: $4(5y + 7)$

The algebraic operation of multiplying the exterior term across the terms inside the brackets, resulting in $20y + 28$.

Factorisation: $6x + 42$

The process of extracting the highest common factor from an expression, which simplifies $6x + 42$ into $6(x + 7)$.

Simplification: $7g + 3h + 4g - h$

The process of collecting like terms in an algebraic expression, which reduces $7g + 3h + 4g - h$ to $11g + 2h$.

Robert's Weekly Pay Formula

The formula $P = 2.8H + 3.7F$, where $P$ is total pay, $H$ is the number of hours worked, and $F$ is the number of fences built.

Bridge Sections and Girders

A structural pattern where triangular sections of a bridge side are built using girders, with $1$ section requiring $3$ girders and $2$ sections requiring $7$ girders.

Cody's Mini-Roller Coaster Regulation

The safety rule stating that the gradient of the uphill slope at the start of the ride must be less than $0.5$.

Mini-Roller Coaster Slope Plan

The plan dimensions for Cody's coaster slope, which features a vertical height of $78\,m$ and a horizontal distance of $142\,m$.

Line Equation: $y = 3x - 1$

A linear formula used to complete a table of values and draw a straight line on a grid.

Changing the Subject of Formula: $y = 6k + 5$

Rearranging the equation $y = 6k + 5$ to express $k$ in terms of $y$, yielding $k = \frac{y - 5}{6}$.

Solving Equation: $4y + 1 = -9$

Finding the value of $y$ that satisfies the linear equation $4y + 1 = -9$, which yields $y = -2.5$.