Midterm Review

ALGEBRA I ­ SEMESTER 1 EXAM REVIEW PACKET2009/2010Osceola School DistrictName: ______________________Teacher: _________________Period: _________Date: _______Number of hours spent studying: _________

ALGEBRA I ­ SEMESTER 1 EXAM REVIEW PACKET2009/2010Osceola School District1. Evaluate if x=13, y=3, z=6, r=9, and s=2:y + rsx − z2. Simplify: ⎛ − 1 ⎞⎜ ⎟ 174x + 22y − 6⎝ 2⎠( )⎛3. Simplify: 9⎜− 1 3 a − 1 ⎝ 9 b ⎞⎠⎟ − 25 ⎜⎛ − 1 ⎝ 5 a ⎞⎟⎠4. Jim weighs five pounds less than Sally. Create an equation that best fits thissentence.5. Solve | x| = 56. Solve: 17 − 2x = 3x + 27. 7r −1− r = 2(1− 3r)8.3(8k − 4) =−3 − 6k49. The manager of the Craft Shoppe bought some rug kits for $16 each, sold all but 6of them for $22 each, and made a total profit of $168. How many kits wereoriginally bought?10. The formula for finding the area of a triangle is A = 1/2bh.Solve the equation for b.11. The sum of three consecutive whole numbers is 125. Write an equation torepresent the first three consecutive whole numbers.

ALGEBRA I ­ SEMESTER 1 EXAM REVIEW PACKET2009/2010Osceola School District12. Determine the equation of the line for the tablex y1 43 85 127 1613. Graph x = 214. Graph the line using the x‐ and y‐ intercepts. 3x + 4y = 1215. For the function f(x) = 4x – 7a) Find f(0) and b) solve for f(x) = 0

ALGEBRA I ­ SEMESTER 1 EXAM REVIEW PACKET2009/2010Osceola School District16. A cellular phone company uses the formula B = $20 + $0.03m to calculate eachsubscriber’s monthly bill where m is the number of minutes used. Show your work andsolutions on your answer sheet.A. What is the slope of the graph?B. What is the y-intercept of the graph?C. Complete the table and graph your results.m b1020304017. A line passes through (‐9, 5) and (‐6, ‐8). Show your work and solutions on youranswer sheet.A. Find the slope of the lineB. Write in slope‐intercept form the equation18. Given -2x + 4y = 8 Show your work and solutions on your answer sheet.A. Write an equation in STANDARD form for a parallel line going through point (4, 2)B. Write an equation in STANDARD form for a perpendicular line going through point( -3, 2)

ALGEBRA I ­ SEMESTER 1 EXAM REVIEW PACKET2009/2010Osceola School District19. 2x − 2 > 8 or 2 − 2x > 5 Show your work.A. Solve the compound inequalityB. Graph over the set of real numbers20. Solve for n. Show your work: 3(− 1 2 n + 1 6 ) = 1 (n + 4)321. Graph the system of linear inequalities, y ≥ 1 2 x +10 and y ≤ 3x − 1 522. Use the snapshot from the TI‐Graphing Calculator to solve the problem. Find thesolution to the system.23. The sum of two numbers is ‐6. If twice the smaller number is added to threetimes the larger, the result is 15. Find the numbers. Show your work.24. Eduardo has 4 more than three times as many stamps as Gabriel. If Gabriel buys12 more stamps he and Eduardo will have the same number of stamps. How manystamps does each person have now?

ALGEBRA I ­ SEMESTER 1 EXAM REVIEW PACKET2009/2010Osceola School District25. Graph the equation − 1 x + 6y − 24 = 0226. Solve the system of equations. Write the solution of the system as an orderedpair.13 x − 2 3 y = 212x + 9y = 627. Given the equation: 3x‐9y=27A. Rewrite the equation in slope‐intercept form. Show your work.B. Identify the slope.C. Identify the y‐intercept.D. Graph the equation.

ALGEBRA I ­ SEMESTER 1 EXAM REVIEW PACKET2009/2010Osceola School District28. Jacinda cashed a check for $500, requesting only five‐dollar and twenty‐dollarbills. She received a total of forty bills. How many of each did she get?A. Write a system of equations to solve the problem.B. Solve the problem using your system of equations. Be sure to show all yourwork.29. x + 1 3 y ≤ 9y < 1 2 xA. Solve the inequalities. Show your work.B. Graph the pair of inequalities and indicate the solution set by shading orcrosshatching.30. Draw a graph which describes the situationA car is traveling at 25 mph for 5 seconds. It accelerates to 40 mph in the next 5 seconds,and then maintains that speed for another 10 seconds.

ANSWER KEY1. 32. ‐87x‐11y+33. 2a‐b4. J = S ‐ 55. + 56. 3ALGEBRA I ­ SEMESTER 1 EXAM REVIEW PACKET2009/2010Osceola School District7. r = 1 48. k=09. 5010. b = 2A/h11. n + (n + 1) + (n + 2) = 12512. y = 2x + 213.14.

ALGEBRA I ­ SEMESTER 1 EXAM REVIEW PACKET2009/2010Osceola School District15. a) ‐7 b) 7/416. m=.03 b = 20m b10 20.320 20.630 20.940 21.217. Part A: − 13 3Part B: y =− 13 3 x −1818. A. x‐2y = 0B. 2x + y = ‐419. A. 2x − 2 > 8 or 2 − 2x > 52x >10 −2x > 3x > 5 x

ALGEBRA I ­ SEMESTER 1 EXAM REVIEW PACKET2009/2010Osceola School District20. n =− 51121. Graph22. (0, 4)23. ‐33 and 2724. Gabriel , 4; Eduardo, 1625. y = 112 x + 4

ALGEBRA I ­ SEMESTER 1 EXAM REVIEW PACKET2009/2010Osceola School District26. ( 57913 ,−120 13 )27. Part A: 3x − 9y = 27−9y =−3x + 27y = 1 3 x − 3Part B: Slope13Part C: y‐intercept is ‐3Part D:28. A. Let x = $5 billsLet y = $20 billsx+y=405x+20y=500B. x+y=40 5x+20y=500x=‐y+40x+20=40x=205(‐y+40)+20y=500‐5y+200+20y=50015y=300y=2020 twenty‐dollar bills 20 five‐dollar bills

ALGEBRA I ­ SEMESTER 1 EXAM REVIEW PACKET2009/2010Osceola School District29. A. x + 1 3 y ≤ 9 y < 1 2 x13 y ≤−x + 9y ≤−3x + 27B.30. Check graphs for horizontal graph then positive slope then horizontal line