MAT-1033C Chapter 2 Study Guide Flashcards

Vocabulary flashcards covering linear expression evaluation, algebraic simplification, and cost function modeling from Chapter 2 Study Guide for MAT-1033C.

Evaluation of $6x - 5y$ at $x = 6$ and $y = -4$

The numerical result obtained by substituting $x = 6$ and $y = -4$ into the algebraic expression $6x - 5y$, which equals $56$.

Evaluation of $-6y^2$ at $y = -2$

The numerical result obtained by substituting $y = -2$ into the algebraic expression $-6y^2$, which equals $-24$.

Cost per Bookshelf Expression

The algebraic expression $\frac{100x + 5000}{x}$ representing the cost per bookshelf (in dollars) of producing $x$ bookshelves.

Cost Behavior with Production Volume

The relationship where the cost per bookshelf decreases as the number of bookshelves manufactured ($x$) increases.

Simplification of $y - 20 + 11y - 10y$

The algebraic reduction achieved by combining like terms in $y - 20 + 11y - 10y$ to obtain $2y - 20$.

Simplification of $3(3z^3 - 12) + 9(4 - z^3)$

The algebraic reduction achieved by distributing factors and combining like terms in $3(3z^3 - 12) + 9(4 - z^3)$ to obtain $0$.