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Algebra 2 Fundamentals Review Name _________________________________________________Hr_______ Solve. 1. 2. 8(z – 6) = –16 3. 5x + 22 = 7x + 10 4. 5 = –(x + 4) + 2(x + 1) Solve the formula for the indicated variable. 5. Solve for h: 6. Solve for t: I = Prt 7. Solve for h: V = 1 Bh 3 8. While on vacation you take a taxi from the airport to your hotel for $21.85. The taxi costs $2.95 plus $1.35 per mile. How far is it from the airport to the hotel? Solve and graph. 9. 12 – 5x > –13 10. 3 < 2x + 11 < 17 12. Find the slope of following lines. a. x = 3 m= b. y = 6 m= 13. Given: line 1 through (4, 6) & (2, 5) 11. 3a + 1 < -2 or 3a + 1 > 7 and line 2 through (2, 3) & (1, 9) a. Find the slope of each line and state whether the line rises, falls, or is horizontal or vertical. m1 = __________ ______________ m2 = ____________ _______________ b. Are the above lines parallel, perpendicular or neither? Find the equation of the line with the given properties. Write answer in slope-intercept form. 14. slope = 5, 15. slope = 2 and 16. through (2, 3) & (4, 2) y-int.= 2 through (3, 1) 17. through (1, 5) and parallel to y = 3x + 2. 18. through (1, 5) and perpendicular to y = 3x + 2 Graph and fill in the requested information. 19. x = 3 20. y = - 1 x+3 2 21. 2x 5y = 10 m = _______ y-int ______ 22. y < 3 23. y > 4x 1 x-int ______ y-int ______ Solve using the SUBSTITION METHOD. 24. 2x – 5y = 9 y = 3x – 7 25. 3x – 7y = 10 x – 4y = 5 26. x + 3y = 5 2x – 3y = 1 29. 2x – 7y = –10 3x + 2y = 10 Solve using ELIMINATION/LINEAR COMBINATIONS. 27. 5x + y = 6 –5x + 3y = 22 28. 6x + 3y = 3 8x + 4y = 5 Write a system of equations for the following problem and solve. Remember to define your variables and to answer the question with a complete sentence. 30. A sporting goods store receives a shipment of 124 golf bags. The shipment includes two types of bags, full-size and collapsible. The full-size bags cost $38.50 each. The collapsible bags cost $22.50 each. The bill for the shipment is $3430. How many of each type of golf bag are in the shipment? Simplify. 31. 32. 33. 34. 35. 36. 37. 38. 39. 40.