Algebra 1 Brain Dump Flashcards

Flashcards based on Simrah's Algebra 1 notes covering expressions, equations, inequalities, functions, lines, and systems of equations.

Relation

A set of ordered pairs (x, y).

Function

Each input (x) has only 1 output (y).

F(x), H(x), G(x)

Same as y or output.

Zeros of a function

Roots, x-intercepts, solutions (where the line crosses the x-axis).

Slope-intercept form

y = mx + b

Point-slope form

y - y₁ = m(x - x₁)

Standard form

Ax + By = C; A is positive or zero, no fractions, no common factors for A, B, and C.

Slope (m)

y₂ - y₁ / x₂ - x₁

Vertical line

x = #; undefined slope

Horizontal line

y = # ; zero slope

Parallel lines

Same slope.

Perpendicular lines

Opposite reciprocal (3 -> -1/3).

Substitution (systems of equations)

Plug in for 1 variable solve then plug in again.

Elimination (systems of equations)

Multiply one or both equations to get an inverse (4x + -4x). Eliminate the inverse then solve for the other variable and plug in to solve for the 1st variable.