Alg I Review #4 (A.SSE.1a, F-BF.3, A-APR.1, & A-CED.3)

Front

What is a linear inequality?

Back

A linear inequality is a mathematical statement that compares a linear expression to a value using inequality symbols (>, <, ≥, ≤). It represents a region of the coordinate plane.

Tags

CCSS.HSA.REI.D.12

Front

How do you represent a system of linear inequalities?

Back

A system of linear inequalities consists of two or more inequalities that share the same variables. The solution is the region where the graphs of the inequalities overlap.

Tags

CCSS.HSA.REI.D.12

Front

What does the symbol '≤' mean in an inequality?

Back

The symbol '≤' means 'less than or equal to'. It indicates that the value on the left can be less than or equal to the value on the right.

Tags

CCSS.6.EE.B.8

Front

What does the symbol '≥' mean in an inequality?

Back

The symbol '≥' means 'greater than or equal to'. It indicates that the value on the left can be greater than or equal to the value on the right.

Tags

CCSS.6.EE.B.8

Front

How do you find the total cost function for a service with a fixed fee and a variable fee?

Back

The total cost function can be expressed as C(t) = fixed fee + (variable fee per unit * number of units). For example, C(t) = 300 + 125t for a photographer.

Tags

CCSS.HSF.LE.B.5

Front

What is the profit function for a business?

Back

The profit function is typically represented as P(x) = revenue - cost, where revenue is the income generated from sales and cost is the total expense incurred.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

How do you compare two linear expressions?

Back

To compare two linear expressions, you can evaluate them for the same value of the variable or analyze their coefficients to determine their relationship.

Front

What is the meaning of 'x + y ≤ 10' in a real-world context?

Back

This inequality means that the total of x and y must not exceed 10, which could represent a limit on resources, time, or quantity.

Front

What does it mean if one profit expression is a multiple of another?

Back

If one profit expression is a multiple of another, it indicates that the profit from one source is a certain factor (like 2x, 3x, etc.) of the profit from the other source.

Front

How do you interpret the slope in a cost function?

Back

The slope in a cost function represents the variable cost per unit. A steeper slope indicates a higher variable cost.

Tags

CCSS.8.EE.B.5