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Name __________________________________ Date _______________ Period ______ Math 7 Math 7 Final Exam Review 2 Solving Equations and Inequalities: Solve and check: 1) 3(4 2 x) 18 4) 10 2 ( x 7) 3 2) 12 6 5) 3x 2 x 28 40 12 3) 6) 3x 4 5x 6 22 Solve, graph, and check: 6) 20 6 2x 7) 1 x9 8 12 7 x 34 8 Name __________________________________ Date _______________ Period ______ Math 7 Order of Operations with Rational numbers: 9) 8) 10) Explain how to use the commutative property to help simplify the expression: 8 5 33 11 7 24 3 5 9 8 2 2 2 2 15 11) Explain how to use the associative property to help simplify the expression: 5 8 33 7 11 24 Using Unit Rates 12) Two people are competing to see who the fastest walker is. Kelly walked 2 of a mile in 3 1 1 3 of an hour. Jay Ann walked for of an hour and went of a mile. Who was faster? 4 3 4 Who won the competition? Name __________________________________ Date _______________ Period ______ Math 7 Finding Which Measures Create Triangles: *Use the Triangle Angle Sum Theorem to see if ANGLES create a triangle *Use the Triangle Inequality Theorem to see if SIDES create a triangle 13) Paul wants to build triangular patios for his back yard. He is not sure what measurements he can use to build his patio so he decides to come up with some numbers and just starts building. The sets of measurements he wants to use for the patios are … Patio #1 12ft, 13 ft, and 1ft Patio #2 120 degrees, 53 degrees, and 37 degrees Patio #3 90 degrees, 45 degrees, and 45 degrees Patio #4 10ft, 12ft, and 3ft Which set of measurements create triangles? Probability and Statistics: 14) Create a tree diagram and list the sample space (outcomes) for spinning the two spinners. Then use your list, tree diagram, or multiplication to find the probabilities for a-c. a) What is the probability of spinning black and 2? b) What is the probability of spinning an even number and gray? c) What is the probability of spinning a number less than 6 and white? 15) Find the measures of variation for the data displayed in the Box and Whisker plot. The Age in Months of Current 6th Graders Lowest Value = ________ Highest Value = _________ Range = ________ Lower Quartile = ________ Upper Quartile = _________ Interquartile Range (IQR) = ________ Name __________________________________ Date _______________ Period ______ Math 7 15) Find the measures of center for the data displayed in the dot plot. Number of Hours Spent Doing HW for the Week Mean = ________ Median = _________ Mode = ________ Hours Proportional Relationships: 17) Circle the situation that describes a proportional relationship. Use tables and/or graphs to show how you arrived at your conclusion. Give the constant of variation and write the equation for the proportional relationship. A) Paying six dollars for your first plate of food then paying one dollar for each additional plate of food you eat at a buffet. Constant of Variation (unite rate) = ________ Equation ____________________ B) Paying three dollars for each plate of food you eat at a buffet. Constant of Variation (unit rate) = ________ Equation ____________________