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CCGPS Coordinate Algebra Name_______________ EOCT Review Day 1 1. Convert 5 miles to feet. 2. The number of calories a person burns in doing an activity can be approximated using the formula C = kmt, where m is the person’s weight in pounds and t is the duration of the activity in minutes. Find the units for the coefficient k. 3. Convert 60 miles per hour to feet per minute. 4. When Justin goes to work, he drives at an average speed of 65 miles per hour. It takes about 1 hour and 30 minutes for Justin to arrive at work. His car travels about 25 miles per gallon of gas. If gas costs $3.65 per gallon, how much money does Justin spent to travel each mile to work? 5. A rectangle has an area of 12m2 and width of 400 cm. What is the length of the rectangle? 6. An amount of $1000 is deposited into a bank account that pays 4% annual interest. What would be the bank account balance after 5 years? 7. Solve the equation 2y + 4 = 3(2x – 6) for y. Show your work. 8. Solve the equation 14 = ax + 6 for x. Show your work. 9. Solve the inequality 4 – y > 5 for y. Show your work. 10. Show your work and Solve for y. 6a – 2y > 4 11. Show your work and solve for w. ax - w = 3 12. Show your work and solve for t. 4n = 2(t – 3) 13. Karla wants to save up for a prom dress. She figures she can save $9 each week from the money she earns babysitting. If she plans to spend up to $150 for the dress, how many weeks will it take her to save enough money? 14. Solve the system with the equations: y = 2x – 4 and x = y + 1 15. Solve this system. x – 3y =6 and -x + 3y = -6 16. 17. Graph the solution of y > x + 3 and y > -x + 1 18. Graph the solution region for y < 2x – 1. 19. Every year Silas buys fudge at the state fair. He buys peanut butter and chocolate. This year he intends to buy $24 worth of fudge. If chocolate costs $4 per pound and peanut butter costs $3 per pound, what are the different combinations of fudge that he can purchase? 20. Given f(x) = 2x – 1, find f(7). 21. Consider the sequence: 3, 6, 9, 12, 15, … The first term is 3, the second term is 6, the third term is 9, and so on. The ellipses at the right of the sequence indicate the pattern continues without end. Can this patter be considered a function? Explain your answer. 22. Consider this sequence: 5, 7, 11, 19, 35, 67, … a. Is this a finite sequence or an infinite sequence?_____________ b. What is a1? _________ What is a3?_______ c. What is the domain of the sequence? ____________What is the range?__________________ 23. _____________________________________________________________________________________ 24. _____________________________________________________________________________________ 25. _____________________________________________________________________________________ 26. _____________________________________________________________________________________ 27. ______________________________________________________________________________ 28. ______________________________________________________________________________ 29. 30.