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T-1 Rev A Review for Trimester 1 Benchmark Exam Alg 1H Do in your spiral and show all support work! 1. Evaluate the expression 72x + 15 – x3 when x = ־2. 2. Is x = – 6 a solution of the equation 23 – 3x = – 4x + 17? Simplify the expressions: 3. 3(x – 5) – 4(x + 3x) 4. 2(x – 8) – (x – 7) 5. 30 21x 3 Solve the equations: 1 2 x=7– x 3 3 6. 5x – 7(3 – 2x) = 36 7. 8. x + 23 = 3(2x + 1) 9. 14 – (6 – 3c) = 4c – c 10. 3y – 2(y + 19) = 9y – 3(9 – y) 11. 2(a – 8) + 7 = 5(a + 2) – 3a - 19 12. Solve the equation for b: 12ab + 7b = 5a. 13. Solve the equation for a: 12ab + 7b = 5a. 14. Find the slope and y-intercept of the line 4x – 7y = 14. 15. Find the slope of the line containing the points (־3, 8) and (5, 2). 16. Find the x and y intercepts, sketch the graph, and label the intercepts of the equation 5x – 3y = 30. 17. Make a table of values for y = 2 x – 5. Use the values – 6, – 3, 0, 3, 6, 9 for x. 3 18. Write the equations of the horizontal and vertical lines that pass through the point (-2, -7). 19. The table of ordered pairs shows the coordinates of two points on the graph of a function. What is the equation that describes the function? x y -2 2 4 -1 20. In 1994 a company had 36 employees. By 1998 the company had grown to 108 employees. Find the average rate of change and label your answer with units. 21. Write in slope-intercept form and sketch the line. 3x – 2y = 12. 22. Write in slope-intercept form the equation of the line that passes through (4, ־1), and (0, 3). 23. Write in slope-intercept form the equation of the line that passes through (־5, 4), and (-5, ־2). 24. Write the equation y = 6 3 x+ in standard form with integer coefficients. 2 5 25. Write in point-slope form the equation of the line that passes through the point (4, ־9) with a slope of 1 . 5 26. Find the slope-intercept form of an equation for the line that passes through (-1, 2) and is parallel to the equation y = 2x – 3. 27. Find the slope-intercept form of an equation of the line perpendicular to the line x – 3y = 5 and passing through the point (0, 6). 28. Identify each as rational or irrational numbers: 29. Solve the proportion: 93 8 7 144 3 125 36 2 5 . x3 x1 30. Does the pair of ratios form a proportion? 1.5 1 , 9 6 31. Find the final price of the item. Printer $255.00 discount 30% tax 5.5% 32. Is the relation a function? (-4, 3), (1, -5), (7, 6), (9, 6), (1, 5) 33. If f(x) = 2x2 + 1, find f(3n). 34. Identify the domain and range of the function. (1, 4), (2, -2), (3, -6), (-6, 3), (-3, -6). 35. Find the value of r in (4, r) , (r, 2) so that the slope of the line containing them is 5 . 3 Key 1. ־121 6. x = 3 11. all real numbers 2. yes 41 = 41 7. x = 7 12. b 5a 12a 7 3. ־13x – 15 8. x = 4 7b 13. a 5 12b 4. x – 9 9. No solution 4 14. m = , y-int (0, ־2) 7 5. -7x + 10 10. y = -1 3 15. m 4 5 x – 10; Graph with y-int of ־10, and x-int of 6. 17. y values are: ־9, ־7, ־5, ־3, ־1, 1 18. Horizontal: y = -7 Vertical: x = -2 3 1 3 19. y = x 1 20. 18 employees per year 21. y = x – 6; Graph with y-int of ־6, and a x-int of 4. 22. y = – x + 3 2 2 1 23. x = -5 24. 12x + 10y = 15 25. y + 9 = (x – 4) 26. . y = 2x + 4 27. . y = -3x + 6 5 17 28. Irrational; rational; rational; irrational 29. x = 30. Yes; 9 = 9 3 31. $188.32 32. No; input 1 has two outputs. 33. 18n2 + 1 16. y = 34. domain {1, 2, 3, -6, -3} range {4, -2, -6, 3} 35. r=7