Linear Expressions and Equations EOC Practice Test What is the domain and range of 𝑓(𝑥) = √𝑥 − 5? a. Domain: x can be all real numbers Range: f(x) can be all real numbers b. Domain: x = 5 Range: f(x) = 0 c. Domain: Range: f(x) is less than or equal to zero d. Domain: Range: f(x) is greater than or equal to zero The chart shows the amount of total salary (commission plus base salary) paid to employees of a car dealership in one week. Number of cars sold Total Salary 1 2 3 $300 $400 $500 5 7 8 $700 $900 $1000 Which equation best represents total salary (T) that an employee makes for selling any number of cars, c, in a week? a. T(c) = 100c + 200 b. T(c) = 200c + 100 c. T(c) = 100(c + 200) d. T(c) = c + 100 Which equation listed below best represents the set of data in the table? x f(x) -2 -4 -1 -1 a. f(x) = 3x + 2 b. f(x) = – 3x + 2 c. f(x) = 2x + 3 1 d. 𝑓(𝑥) = 3 𝑥 + 2 For the function a. b. c. d. -1 1 3 4 1 5 3 11 6 20 , find x when 1 For the function 𝑓(𝑥) = |3𝑥| − 1, evaluate 𝑓(𝑥) at 𝑓(− 6). a. − 3 2 1 b. − 2 1 c. − 6 d. 1 2 Which of the following are functions (Mark all that apply)? a. {(4,1),(7,1),(-2,4),(4,2)} b. d. c. e. Domain 2 5 19 Range 9 8 8 Bert graphs a function. The domain of the function is −3 ≤ 𝑥 ≤ 2 The range of the function is −1 ≤ 𝑦 ≤ 6 The y-intercept of the function is 1 Which graph could represent Bert’s function? In 2004, a new cell phone company only had 10,000 customers in Seattle. If the annual rate of increase of customers is about 65%, which expression below models the number of customers five years later? a. b. c. d. 5(10,000)(.65) 5(10,000).65 (10,000)(1.65)5 (10,000)(.65)5 Kesha is planning to rent a van for her trip Mt. Rainier. Two of her friends each rented the same type of van from the same car rental company last week. This is what they told her: John: “The cost of my rental was $240. The company charged me a certain amount per day and a certain amount per mile. I had the rental for five days and drove it 200 miles.” Katie: “The cost of my rental was only $100. I drove it for 100 miles and had it for two days.” Kesha plans to get the same type of van that John and Katie had from the same car rental company. Kesha estimated her trip would be 250 miles, and she would have the vehicle for four days. Let C = cost, M = miles, and D = days Which of the following equations could Kesha use to figure out how much her rental would cost? a. C = 40.00M + 0.20D b. C = 40.00D + 0.20M c. C = 20.00M + 0.40D d. C = 20.00D + 0.40M Mrs. Morris gave her students this pattern of white tiles: She asked her students to write an equation to represent the number of white tiles, t, for any figure number, n. Which equation represents the number of white tiles in the pattern? a. b. c. d. 𝑡 𝑡 𝑡 𝑡 =𝑛+2 =𝑛+4 = 4𝑛 + 4 = 4𝑛 + 8