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Final Exam 1. Arrange these numbers in order from the least to the greatest 1 1 33%, 0.3, , 0, -33%, -0.3, 3 3 Hint: convert all numbers to fraction and then compare 2 2. Convert 21 % to fraction. 5 3. Calculate (3)[ 5 3 (2)] 4. Calculate (-2)3 5. Use the distributive property to remove the parentheses 2 x(3x 2) x( x 2 x 3) 6. Solve 3(2 x 1) 7 x 4 7. Find x-intercept and y-intercept of the equation 7x + 5y = 20. 8. What is the slope of the line which pass through points (7, 3) and (9,2)? 9. Convert 5x – 7y = 44 to slope-intercept form. What is the slope and y-intercept of this line? 10. Find the equation of the line through (3, -2) that is perpendicular to the line 4x + 5y = 8? Please write the equation in standard form. 11. Graph the system of inequalities 5x – 2y < 10 x + 2y > -2 x – y > -4 12. Solve the system by graphing. x + 3y = -3 2x – y = 8 13. Solve the system by the substitution method. 4x + 3y = 5 x + 2y = 10 14. Solve the system by the additional method. 2x + 3y = 1 x–y=3 15. Solve the system using your preferred method. 1 1 3(4 x 1 y 2) 5(2 x 1 y ) 0 2 2 1 2(3x 3 y 1) 2(2 x 2 y 4) 0 2 16. Solve the system of equations using your preferred method: 2x – y = 2 -4x + 2y = -4 17. Points A, B, and C are on the same line. The coordinates for A, B, C are (6, 1), (2, 2), and (x, 4). What is x? 18. A line with a slope of 2 and passes a point (4, 1). Please write the equation for this line in standard form. (standard form is Ax + By = C) 19. A line with a slope of 2 and passes a point (4, 1). Please write the equation for this line in slope-intercept form. (slope-intercept form is y = mx + b) 20. Solve the system of equations by substitution method: 3x – y = -3 6x – 2y = 6 21. Calculate | -3 | - | -5 | 22. Calculate | -3 -5 | 23. Find the GCF of 252, 132, 60 24. Find the LCM of 252, 132, 60 25. f(x) = 2x^2 – 3x + 5 g(x) = x – 1 Find f[ g(0) ]