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Name_________________________________________________________ Date __________ Chapter Review 1 Write an equation of the line and interpret the slope and y-intercept. 1. 2. 3. Solve the system. Check your solution, if possible. 4. 3x 3 y z 10 5. x y 2 z 9 6. x y z 9 3x 2 y 3z 2 2 x 2 y 2 z 8 2x 3y 4z 7 3x z 2 x y z 5 x 4 y 3z 2 7. A local grocery store makes a 9-pound mixture of trail mix. The trail mix contains raisins, sunflower seeds, and chocolate-covered peanuts. The raisins cost $2 per pound, the sunflower seeds cost $1 per pound, and the chocolate-covered peanuts cost $1.50 per pound. The mixture calls for twice as many raisins as sunflower seeds. The total cost of the mixture is $14.50. How much of each ingredient did the store use? Hint: make a system of equations and solve! Graph the function and its parent function. Then describe the transformation. 8. f x x 5 10. h x 1 x 2 3 9. g x 2 x Write a function g whose graph represents the indicated transformation of the graph f. 11. f x 3 x 1 4; translation 3 units up 12. f x 2 x 2 2; vertical stretch by a factor of 3 3 13. Let the graph of g be a Vertical shrink by a factor of 1 , followed by a translation 3 units down of the 2 graph of f x x . Write a rule for g. 14. For your career project, you plan to design and sell T-shirts. During the first 5 weeks of selling the shirts, the function f s 4 s 20 models your profit made, where s is the number of shirts sold. 3 Your teacher mentions that by making a slight change to your printing procedure, you could double the number of shirts you could sell. Find your new profit equation and describe how this change transforms the graph of f. Then determine the new profit you could make by selling 300 shirts. 15. The table shows the lengths of your hair after a certain amount of months. Use the table to determine if the data shows a linear relationship. If so, write the equation of the function then estimate the length of your hair after 16 months. Months, x 9 11 13 15 17 Hair Length (in.), y 3 7 11 15 19