Name __________________________________________ Date________________ Period __________ Test 2.2 REVIEW – Algebra 1 - MPJH 1. Which graph does not represent a function? 2. What is the x-intercept of the equation 2x + 4y = 7? 3. At Jennifer’s Jet Ski’s, the cost for renting a jet ski is $45 plus $35 per day. The total cost can be represented by the equation y = 45 + 35x where x is the number of days for which the jet ski has been rented and y is the total cost of renting the jet ski. What is the y-intercept of this equation? 4. Rodney’s Rides car rental office charges $20 per day and $0.20 for each mile to rent a small economy car. Grant plans to rent a car for a 2-day weekend vacation. Which of the following represents the number of miles, m, Grant can drive if he can spend up to $120 on a car rental for this vacation? A 0 ≤ m ≤ 120 B 0 ≤ m ≤ 500 C 20 ≤ m ≤ 120 D 0 ≤ m ≤ 400 5. Write the equation of a vertical line passing through the point (5, 8) ________________________ 6. Write the equation of a horizontal line passing through the point (-3, -7) ________________________ 7. What is the y-intercept of the graph of 6x + 3y = 12? ________________ 8. Decide which of the two points lies on the graph of the line. x – 3y = 12 a. (9,1) b. (6,-2) 9. Solve the equation for y. a. -6x + y = 11 10. Make a table and find the range of y = 𝟕 𝟑 b. 10x -5y = 25 x + 3 if the domain is -3, -1, 0, 3. 11.Identify the range of the function with the given domain. x + 3y = -8; domain x > 0 12. Solve the proportion: a. 2𝑥−2 𝑥+3 = 6x - 3y = 9; domain x < 1 10 4 13. Write each equation in standard form. b. 2 𝑛 a. -4 + 2y = 8x = 14 𝑛+30 b. 10x -12 = 8y 14. The table below shows values of y as a function of x. Which linear equation best describes the relationship between x and y? x y A y = 6x B y = 4x + 4 C y = 3x + 6 D y = 5x 2 12 8 30 14 48 27 87 37 117 17. Find the value of x so that the function has the given value. f(x) = -7x – 3; -17 18. Evaluate the function f(x) = -3x + 2; when x = -1, -2, 7 15. Write the equation for the line 6. graphed below. 3 6 19. What is the slope of the line that passes through the points (-3, 4) and (-3, -4)? 16. The owner of a convenience store recorded the number of customers in the store from 6:00am to 11:00am who were served coffee and the number of pots of coffee that were consumer. Write an equation that describes this function. 20. A mechanic charges C(t) dollars to install a new distributor in a car. The formula c(t) = 16t + 160 is used to find the cost of installation, where t is the number of hours of labor performed by the mechanic. What does the slope represent? 21. 23. Which of the following is a correct interpretation of the slope of the line on Darin’s graph? A The tree grew 1 foot in four years 22. Grace is saving money in a savings account. She started with $5, and adds $3 every week, as shown on the graph below. B The tree grew 1.5 feet in six years C The tree grew 2 feet in six months D The tree grew 4 feet in six months 24. Olsi’s Algebra teacher assigned 50 homework problems. The table below compares the number of homework problems Olsi has completed to the percentage of the homework he has yet to do. What is the slope of the line connecting the points on the graph? What is the slope of the line that fits these data?
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