Name:__________________ Algebra, Period___________ Date:___________________ Algebra 1 Fall Final Review Packet 2 Directions: Box in your answers in the blanks and show any work that is necessary. 1. Find the equation that represents the relationship in the following table: 2. Simplify the following expression: -4(2x – 6) + 5x – 8 3. Solve the following equation for x: 9x + 5 = -2x – 17 4. Solve the following equation for a: 5a – 6 = 3a + 10 5. Simplify: 6. Solve for b: -3(2x – 4) + 4x + 6 – x 2− =8 7. Evaluate if x = -2 and y = -4: -2xy – x2 X Y 0 -4 5 -3 10 -2 15 -1 8. Evaluate if x = 3 and y = -2: −2+ 2 2 3x – 4y = -12 9. Solve the following equation in slope-intercept form: 10. What is the x-intercept and y-intercept of the following equation? 11. Order the following lines from flattest to steepest: #1: 2x – 4y = 8 #2: 6x – 3y = 12 4x + 2y = -8 #3: -5y = x + 7 #4 y = -5x + 2 12. If a horizontal line and vertical line intersect at (3, -5), what is the equation for the horizontal line? Identify the property illustrated. 13. (-5)(8)(2) = (-5)(2)(8) 14. 6 • (7 • 2) = (6 • 7 ) • 2 15. y • (-1) = (-1) • y Simplify: 1 16. (7 – 5.5)2 3 17. 3 5 [27 – (2 + 5)]2 18. What is the equation for a line in point-slope form that passes through the points (-3, 6) and (-5, 8)? 19. What is the equation for a line in standard form with a slope of -2 and a y-intercept of 8? 20. What is the equation for a line in slope-intercept form that has a slope of 1 2 and passes through the point (-2, 5)? 21. What would the domain and range be for the following graph. 22. Given the equation y = 6x – 4 and the domain {-2, 0, 2, 4}, find the range. 23. Write the following equation in slope-intercept form and give the slope. 3x – 6y = -9 slope-intercept form:___________________ slope: ___________________ 24. If f(x) = -10, find x when the function is f(x) = -3x + 4 25. Find f(-2) + g(7) when f(x) = 5x – 3 and g(x) = –x + 12. 1 26. Find f(2) if f(x) = –7x + 5. Determine whether each relation is a function. Write Yes or No Tell why or why not x y x y 1 –3 0 2 6 –2 0 –2 9 –1 3 1 10 0 3 –1 1 3 5 3 x y x y 2 12 –4 –4 1 5 –1 –4 0 0 0 –4 –1 –3 2 –4 –4 0 3 –4

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# 12-11 Algebra Fall Final Review Packet 2