ALG1 MP04 - Creating Equations and Modeling Flashcards

Fill-in-the-blank practice flashcards based on the ALG1-MP-04 modeling packet, covering linear equations, inequalities, constraints, and formula manipulation.

A common linear model consists of a __________ plus a rate multiplied by an input.

starting value

The __________ is the amount added for each unit in a linear model context.

rate

A __________ occurs when revenue equals cost.

break-even point

Use an __________ when a condition describes phrases like "at most," "at least," or "no more than."

inequality

To highlight a quantity of interest within a formula, you must __________ a variable.

isolate

According to the transcript, a __________ is a symbol that represents an unknown or changeable quantity.

variable

A __________ is a condition that limits the possible values in a situation.

constraint

The definition of a __________ is the amount added or changed for each one unit.

unit rate

A restriction on solutions based on the real situation, such as time $\\geq 0$, is called a __________.

domain constraint

In a context where the input is zero, the starting value is interpreted as the __________.

intercept

When defining a variable, students should state what the symbol represents and include __________ when appropriate.

units

The equation for the break-even point in the club shirt example is __________.

$$11n = 45 + 8n$$

In the ride cost example $C = 2.5m + 4$, the variable $m$ represents __________.

miles

The perimeter of a rectangle with width $w$ and length $w + 3$ is modeled by the equation __________.

$$2w + 2(w + 3) = 54$$

The standard __________ focuses on rearranging formulas to highlight a quantity of interest.

A-CED.4

A common misconception is treating "no more than" as the symbol $\\geq$; it should actually be translated as __________.

$$\\leq$$

Maintaining equality while rearranging a formula requires performing __________ to both sides.

equivalent operations

Equations with the same solution set are known as __________.

equivalent equations

A __________ is a cost that does not change with the number of units produced.

fixed cost

The mathematical representation of a situation is defined as a __________.

model