Linear and Quadratic Equations Flashcards (8 cards)

What is an equation in algebra?

An equality containing one or more unknowns represented by letters.

What is the solution of an equation?

The value or values that make the equality true when substituted.

What exponent characterizes first-degree or linear equations?

Exponent 1.

How are equations with three or more unknowns solved?

Through systems of equations.

What is the general form of a linear equation with n unknowns?

$a_1x_1+a_2x_2+\cdots+a_nx_n=b$ where $a_i$ and $b$ are known real numbers.

What equations represent the automotive example's service counts?

$x+y+z=20$, $1000x+500y+750z=15000$, and $x=2z$.

How many tune-ups, oil changes, and brake inspections were performed?

8 tune-ups, 8 oil changes, and 4 brake inspections.

What prices correspond to tune-ups, oil changes, and brake inspections?

$1,000 for tune-ups, $500 for oil changes, and $750 for brake inspections.