Algebra CC: Unit 1 Assessment

What is the slope and the y-intercept of the function describing Ruthie's car repair?

What is f(-3) if f(x) = 11 − 6 (x − 8)?

Which statement compares the growth of Greg and Alan's companies?

What is the most appropriate domain for the function C(w) representing the cost of a package of beef weighing w pounds?

Which interval represents John constantly moving closer to home based on his distance from home?

After how many weeks will Enrique have $196 in his savings account if he starts with $40 and deposits $6 weekly?

Which graph would match the situation of a car traveling at 26 mph, accelerating to 42 mph in 5 seconds, maintaining speed for 5 seconds, and then slowing to a stop?

Car Repair Charges

The slope of the function is $50 per hour, indicating that labor charges increase by $50 for each hour of repair.
The y-intercept is $75, representing a fixed fee, likely for initial diagnostics or parts prior to labor.

Evaluating Function f(x)

For the function f(x) = 11 − 6(x − 8), calculating f(−3) leads to a specific numerical result.

Company Employee Growth

Greg's employee equation: E = 18n + 5 shows an increase of 18 employees per year.
Alan's employee equation: E = 22n + 10 indicates a growth of 22 employees yearly.
Alan's company shows faster growth compared to Greg's.

Grocery Store Pricing Domain

The costing function C(w) for beef depends on weight w.
The most appropriate domain for this function is positive rational numbers, as weight must be greater than zero and can be a fraction.

Child's Distance from Home

The graph of John's distance d(t) depicts how far he is from home over time.
The interval when John is moving closer to home is critical for understanding his movement patterns.

Savings Account Growth

Enrique starts with $40 and adds $6 weekly to his savings.
To reach $196, calculations reveal the total number of weeks required to achieve this balance.

Graphing Situational Problems

A scenario described involves a car accelerating, maintaining speed, then decelerating.
Identifying the correct graph representation requires an understanding of how speed changes over time.

This assessment focuses on the concepts presented in Algebra CC, specifically for Unit 1. Students will encounter a variety of problems related to time and cost relationships, as well as basic algebraic principles. Prepare to demonstrate your understanding of the material covered in this unit.