10 Math Methods PRACTICE TEST IA2 Term 2 Flashcards

This set of vocabulary flashcards covers key mathematical concepts from the 10 Math Methods Practice Test IA2, including simultaneous equations, quadratic formulas, and function transformations.

Simultaneous Equations

A set of equations, such as those where the sum of two numbers is $30$ and their difference is $12$, solved using substitution or elimination methods.

Substitution Method

A technique used to find the numbers in simultaneous equations by replacing one variable with an equivalent expression.

Elimination Method

A strategy for solving simultaneous equations by adding or subtracting them to remove one of the variables.

Quadratic formula

The mathematical formula used to determine the value of $x$ for equations in the form $y = x^2 - 5x + 6$.

Discriminant

The value calculated using the formula $\Delta = b^2 - 4ac$ to determine how many real solutions exist for a quadratic equation.

Domain

The set of all possible input values for a relation, often expressed using interval notation or inequality statements.

Range

The set of all possible output values for a relation, often expressed using interval notation or inequality statements.

Vertical line test

A method used to determine whether or not a relation qualifies as a function.

Function Notation

A way of writing functions, such as $f(x) = x^2 - 3$, and evaluating them for specific values like $f(-2)$ or $f(2x)$.

Transforming Parabolas

The process of modifying the base graph $y = x^2$ into a new form, such as $y = (x + 4)^2 - 4$, through shifts and translations.

Translation

A transformation of a quadratic function where the graph is moved a specific number of units, such as $3$ units to the right and $2$ units up.