Bibb County School District Algebra CC Unit 1 Assessment PDF

Summary

This is a past paper for Bibb County School District that covers the topic of algebra. The paper contains questions on various algebra topics including calculating the slope and y-intercept of a function and solving linear equations.

Full Transcript

Bibb County School District Test Booklet Algebra CC: Unit 1 Assessment (Bibb_FY25) Name Date Powered by Illuminate Educat...

Bibb County School District Test Booklet Algebra CC: Unit 1 Assessment (Bibb_FY25) Name Date Powered by Illuminate Education. Algebra CC: Unit 1 Assessment (Bibb_FY25) 1. Ruthie needs to get her car fixed at a car repair shop. The relationship between time in hours it will take for a car repair and the labor charges in dollars is shown on the graph below. What are the slope and the y-intercept of the function? What do the slope and the y-intercept mean in relation to Ruthie’s car repair? A. The slope of the function is 50, which means that the labor charge is $50 for each hour it takes to repair Ruthie's car. The y-intercept is 75, which means that there is a one-time fee of $75, which could be the amount for a part needed to repair Ruthie’s car or a fee charged to look at the car to determine what repairs are needed. B. The slope of the function is 75, which means that the labor takes 75 hours to repair Ruthie's car. The y- intercept is 50, which means that the garage will charge $50 for each hour it takes to repair Ruthie’s car. C. The slope of the function is 50, which means that the labor takes 50 hours to repair Ruthie's car. The y- intercept is 75, which means that the garage will charge $75 for each hour it takes to repair Ruthie's car. D. The slope of the function is 75, which means that the labor charge is $75 for each hour it takes to repair Ruthie's car. The y-intercept is 50, which means that there is a one-time fee of $50, which could be the amount for a part needed to repair Ruthie’s car or a fee charged to look at the car to determine what repairs are needed. 2. If f(x) = 11 − 6 (x − 8) , what is f(−3) ? A. 41 B. –55 C. –19 D. 77 Powered by Illuminate Education. Page 2 of 8 Algebra CC: Unit 1 Assessment (Bibb_FY25) 3. Greg and Alan each own their own company. The equations below show the total number of their employees, E, after n years of operating the company. Greg: E = 18n + 5 Alan: E = 22n + 10 Which statement compares the growth of the two companies? A. Greg’s company grew at a rate of 18 new employees per year, and Alan’s company grew at a rate of 22 new employees per year. B. Greg’s company grew at a rate of 5 new employees per year, and Alan’s company grew at a rate of 10 new employees per year. C. Greg’s company grew at a rate of 18% more new employees per year, and Alan’s company grew at a rate of 22% more new employees per year. D. Greg’s company grew at a rate of 5% more new employees per year, Alan’s company grew at a rate of 10% more new employees per year. 4. A grocery store sells packages of beef. The function C(w) represents the cost, in dollars, of a package of beef weighing w pounds. The most appropriate domain for this function would be: A. integers B. rational numbers C. positive integers D. positive rational numbers Powered by Illuminate Education. Page 3 of 8 Algebra CC: Unit 1 Assessment (Bibb_FY25) 5. A child is playing outside. The graph below shows the John's distance, d(t), in yards from home over a period of time, t, in seconds. Which interval represents John constantly moving closer to home? A. 0 ≤ t ≤ 2 B. 2 ≤ t ≤ 3 C. 3 ≤ t ≤ 4 D. 4 ≤ t ≤ 6 6. Enrique opens a savings account with $40. Every week, he deposits an additional $6 into the account. He never withdraws any money from his savings account. After how many weeks will Enrique have $196 in his savings account? A. 5 weeks B. 11 weeks C. 26 weeks D. 40 weeks 7. Which graph below would match the situation described? Powered by Illuminate Education. Page 4 of 8 Algebra CC: Unit 1 Assessment (Bibb_FY25) A car travelling at 26 mph accelerates to 42 mph in 5 seconds. It maintains that speed for the next 5 seconds, and then slows to a stop during the next 5 seconds. A. B. Powered by Illuminate Education. Page 5 of 8 Algebra CC: Unit 1 Assessment (Bibb_FY25) C. D. Powered by Illuminate Education. Page 6 of 8 Algebra CC: Unit 1 Assessment (Bibb_FY25) 8. On the main floor of Kodak Hall at the Regal Theater, the number of seats per row increases at a constant rate. Steven counts 31 seats in row 3 and 37 seats in row 6. How many seats are there in row 20? A. 65 B. 67 C. 69 D. 71 9. The cell phone plan used by Samantha charges her $0.40 per minute in addition to a $30 monthly fee. In January, she spoke for 100 minutes and was charged $70. How much is she charged for February, when she spoke for 200 minutes? A. $80 B. $100 C. $110 D. $140 10. Medea sells new cars. She gets a paycheck every two weeks that includes a weekly salary and a commission for each new car she sells. The total amount of Medea’s paycheck before taxes is represented by a linear function, p(c). p(c) = 1200c + 2(280) Which statement best describes the meaning of p(4)? A. This is the total commission she gets for selling 4 cars within a 2-week pay period. B. This is the total commission she gets in 4 paychecks as long as she sells at least 2 cars per pay period. C. This is the total pre-tax amount of her paycheck for a 2-week period during which she sells 4 cars. D. This is the total pre-tax amount of her paycheck for a 4-week period during which she sells 2 cars. 11. Monty mows lawns in the summer. The function f (x) is used to model the amount of money earned, where x is the number of lawns completely mowed. A reasonable domain for this function would be: A. real numbers B. rational numbers C. irrational numbers D. natural numbers Powered by Illuminate Education. Page 7 of 8 Algebra CC: Unit 1 Assessment (Bibb_FY25) 12. Juan made the first three figures of a pattern. If the pattern continues, which function will represent the number of dots​,​ f (n) ? A. f (n) = 4 n + 5 B. f (n) = 5 n + 5 C. f (n) = 6 n + 1 D. f (n) = 8 n + 1 Powered by Illuminate Education. Page 8 of 8

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