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Semester Review Warm Up #3 Fall Semester 1. Order the number from least to greatest. 5 7 , -3, 7, - , -3.9 6 5 2. Which numbers are irrational? 7 7 , 3.4141..., p , - , 19, -3, 9 3 5 3. Dillon’s mother is preparing y gift bags for guests at Dillon’s graduation party. His mother buys 8 times as many gift bags as the number of guests x. Express the relationship with an equations. y = ___________________ Is the relationship between x and y proportional? ____________ 4. The graph shows a relationship between number of calories and the amount of time it takes to burn the calories. Write an equation that models the calories burned. Is the relationship proportional or non-proportional? 5. The graph shows a relationship between the speed of an object and the time it takes it to stop. Write and equation that models the slowing down of the object. The y-intercept is ___________. What does the y-intercept represent? __________________________ The slope of the line is ___________. Equation: __________________ 6. The height of the mirror is 70 ft. Between which two consecutive whole number is 70? 7. Solve for x. -2x + 10 + 3x = 6 + 2x + 5 1. Order the number from least to greatest. 5 7 , -3, 7, - , -3.9 6 5 7 5 5 6 -3.9, -3,- , , 7 2. Which numbers are irrational? 7 7 , 3.4141..., p ,- , 19, -3, 9 3 5 3. p and 19 Dillon’s mother is preparing y gift bags for guests at Dillon’s graduation party. His mother buys 8 times as many gift bags as the number of guests x. Express the relationship with an equations. 8x y = ___________________ Is the relationship between x and y yes proportional? ____________ 4. The graph shows a relationship between number of calories and the amount of time it takes to burn the calories. Write an equation that models the calories burned. Is the relationship proportional or non-proportional? 19.5 slope : = 9.75 2 Equation: y = 9.75x Proportional-the line starts at the origin 5. The graph shows a relationship between the speed of an object and the time it takes it to stop. Answer the questions and write an equation that models the slowing down of the object. 420 The y-intercept is ___________. What does the y-intercept represent? Beginning speed of the object __________________________ The slope of the line is -42 = -42 1 ___________. Equation: y = 420 – 42x 6. The height of the mirror is 70 ft. Between which two consecutive whole number is 70? 64 ® 70 ® 81 8 9 The two consecutive whole numbers are 8 and 9. 7. Solve for x. -2x + 10 + 3x = 6 + 2x + 5 x + 10 = 2x + 11 Combine like terms -x -x_____ variable on both sides-zero one out 10 = x + 11 -11 = -11 -1 = x Problems from your review that you need to study for the test. rise 19.5 9.75 = = run 2 1 You burn 9.75 calories per minute. 10. 8 rise 2 1 = = run 4 2 11. 13. The table represents a (linear, nonlinear) function. 1 1 1 1 1 change - y 3 = change - x 1 3 3 3 3 3 Since the rate of change is constant it is linear. 2 x 3