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Algebra: Chapter 7 Team Test Name_____________________________________ 1. Solve the system using the equal values method and write your answer as a coordinate pair. y 3x 2 ____ 6 and Graph each equation to find where the lines intersect. y 2x 3 solution: ( , ) 2a) Plot the points 2, 1 and 2, 7 b) Draw a slope triangle for these points y The slope is _______ x c) Find the slope algebraically (show work) d) Use the graph to find the equation of the line e) Find the equation of the line algebraically (show work) ____ 6 3. Simplify the following by combining like terms a) x 2 5x 6 (2x 2 x 7) ____ 4 b) x 2 8x 17 (x 2 x 3) 2x 2 3x 10 4. Solve each system of equations for x and y y 3x 11 x y 3 solution: ( , ) solution: ( , ) solution: ( , ) x y 4 x 2y 13 4 x 3y 7 2x 9y 35 ____ 9 5. Solve each of the following equations for x and check your work. 3x 1 4 x 2 6 x 2 x 1 3 2 ____ 4 6. Create a table and graph the rule y x 2 4 x y -3 -2 -1 0 1 2 3 Where does the graph touch each axis? x-int: ( , ) ( , ) y-int: ( , ) ____ 5 7. Find the slope of the line through these two points. (49, 40) and 33, 72 (3, 2) and 6, 8 ____ 4 8. At the soccer match, Hot Dogs are sold for $3 each and Colas are sold for $2 each. There were 3 times as many colas sold as hot dogs. If a total of $72 was collected, how many of each item were sold? Let h = hot dogs c = colas ____ 4 sentence: ________________________________________________________________________ ____ 850 9. Write an equation for each line in y mx b form. a) The line has a slope of 3 and passes through b) The line has a slope of 2 and passes through 1, 7 2, 9 c) The line has a slope of zero and passes through 22, 35 d) The line has a slope of 3 and passes has an x-intercept of 2 Bonus: Pearl has a new Standard Poodle named Roscoe. Roscoe is 7 weeks old and weighs 3000g. Pearl weighed Roscoe over several days and found that he gains 43g each day. Assume that he has gained the same amount of weight each day since birth. Make a graph and write an equation to find out how much Roscoe weighed at birth (let x = number of days and y = number of ounces). Which method is more accurate? Why? x y He weighed __________ grams at birth. equation: __________________________ ____ 4 More accurate method? Why? ____________________________ ____________________________ ____________________________ ____________________________ ____________________________ ____________________________ ____________________________