Int 1 Final Exam Review 1. Find the indicated value. Justify your solution using the appropriate related vocabulary. a. ̂ b. c. x and y x d. e. 2. Solve the inequality: | | Graph your solution on a number line. 3. Sketch the solution to the following system of inequalities: y > 4x − 3 y ≥ −2x + 3 Verify your solution algebraically. 4. Fuel at Speedy Gas cost $2 per gallon and fuel at Fill It Up cost $3 per gallon. You have at most $18 to spend on fuel from both gas stations. Your tank can hold no more than 16 gallons of gas. Write a system of linear inequalities to represent the situation and solve to show how much you can purchase at either station. 5. 6. The sum of the digits of a three-digit number is 12. The tens digit is 2 less than the hundreds digit, and the units digit is 4 less than the sum of the other two digits. What is the number? 7. Raul is getting better at math. On his first quiz he earned 52 points, on his second quiz he earned 56 points, and then he scored 60 and 64 on the next two quizzes. If his score continued to increase at the same rate, what will be his score on the 9th quiz? Write a recursive and explicit formula that models this sequence and then solve the question. 8. Suppose you drop a tennis ball from a height of 15 feet. After the ball hits the floor, it rebounds 75% of the previous height. How high will the ball be after the 5th bounce? Round your answer to the nearest hundredth foot. Write a recursive and explicit formula that models this sequence and then solve the question. 9. 10. Given: p//q Find x and y. Justify your answer. 11. Find x and y. Justify your answer. 12. 13. THERE MAY BE MULTIPLE PROBLEMS COVERING EACH OF THE TOPICS WITHIN THIS PACKET. ALSO, PROBABILITY, DATA ANALYSIS, FUNCTION TRANSFORMATIONS AND EXPONENTIAL FUNCITIONS WILL BE COVERED.
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