Algebra 1 Math Study Guide 2008-2009
Ms. Motosicky
Name: ______
Period: ____
Finals Given:
Pd. 3 Thursday June 4th (9:32am – 11:01am )
Pd. 6 Friday June 5th (11:05am – 12:30 pm) Lunch B
Pd. 8 Friday June 5th (1:08pm – 2:34pm)
_____1. What is an integer?
_____2. At is a rational number?
_____3. A square window has an area of 36 square feet. How long is one side of the window?
_____4. Simplify (-2 • (3 - 9)) / (8 ÷ 2 – 1)
_____5. Solve 6(z + 3) + 9 = 27 for z.
_____6. Alexis can braid 96 inches of rope in 1 hour. What is her speed in feet per hour?
_____7. A rectangle has a length of 6 cm and a width of 3 cm. Every dimension is doubled to form a second rectangle. What is the ratio of the perimeters of the two rectangles?
_____8. Chris is 1.5 meters tall and casts a shadow 6 meters long. At the same time, a statue casts a shadow 12 meters long. What is the height of the statue? (Hint: Draw a picture)
_____9. 16 is 30% of what number?
_____10. What 300% of 11.5?
_____11. Before using his coupon, Chandler owed $87 for a tuxedo rental for Prom. After he used the coupon, he owed $69.60. What percent discount did Chandler receive?
_____12. The ratio of boys to girls in Math class is 1:2. There are 32 girls in the class. How many boys are there?
_____13. Solve d/3 – 9 = 12 for d
_____14. Solve y - w = x for y
_____15. Solve (a – 9) = 3a + 17 for a
______16. Solve -10(x + 1) = 10 – 10x for x
For questions 17 & 18, use the following information:
Sarah has a weekend job as a waitress at her family’s restaurant. She works 7 hours on Saturdays and 4 hours on Sundays. Her pay is $2.50 per hour plus tips. (using the variables i for daily income and t for daily tips)
_____17. Which rule represents Sarah’s income on Saturday as a function of her tips for that day?
_____18. One Saturday, Sarah earned $50.00 in tips. What was Susie’s income that day?
_____19. What is the sum of 6 and -5?
_____20. What is the quotient of -3 and 12?
_____21. Simplify the following expression
_____22. Solve the following proportion
_____23. Okay, so suppose six gallons of paint will cover 100 doors. At this rate, how many gallons of paint are needed to cover 230 doors?
_____24. What is the value of the expression ?
_____25. What is the value of the expression ?
_____26. Evaluate .
_____27. Find the area of a triangle if the height is 6 inches and the base is 9 inches. (Hint: ).
_____28. The variable expression for 3 times x plus 2.2 is .
_____29. Which is the variable expression for 26 divided by w minus 5?
_____30. Evaluate the expression .
_____31. Evaluate the expression .
_____32. Evaluate the expression .
_____33. Evaluate the expression .
_____34. The solution of the equation .
_____35. The solution of the equation .
_____36. The solution of the equation .
_____37. Match the sentence “the difference of 10 and twice x is less than 25” with its mathematical representation.
_____38. There are 15 students in a Spanish class. This is an increase of 8 students from last year. Which equation could be used to determine the number of students in last year’s Spanish class?
_____39. Solve .
_____40. Choose the solution of .
_____41. Which inequality is equivalent to
_____43. Which of the following numbers listed below is NOT a solution of the inequality ?
_____44. is represented by which compound inequality below?
_____45. In order to ride the rollercoaster at an amusement park, you must be at least 48 inches tall.
Choose the inequality that describes the heights of all the people NOT on the rollercoaster.
_____46. Solve the system of linear equations.
_____47. Solve the system of linear equations. Then find the value of x + y.
_____48. Your class is selling wrapping paper and candles for a fund raiser. Rolls of wrapping paper sell for $5 and candles sell for $4 each. A total of 526 items were sold and $2327 was raised. How many of each item were sold?
_____49. How many solutions does the linear system have?
_____50. Which point corresponds to the ordered pair (2, -1)?
_____51. Which points have positive y –coordinates?
_____52. Choose the ordered pair that is a solution of .
_____53. Find the slope of the line passing through the points (-6, 7) and (2, 9).
Use the graph to the right to answer both questions 54 & 55.
_____56. The place on the coordinate plane that the x-axis and the y-axis meet is called?
_____57. What is the general form of slope-intercept form of a line?
_____58. Parallel lines have ___.
_____59. List three points is located on the x-axis.
_____60. What is the slope of the graph -4x + 3y = -15?
_____61. List a set of equations which are parallel lines
_____62. In the equation , what is the slope and y-intercept?
_____63. The equation rewritten in standard form is?
_____64. The two pieces of information that you ABSOLUTELY need to write an equation of a line are?
In 65 – 70, match the correct equation with its graph.
Don’t forget to transfer your answers to the answer sheet.
_____71. List the set of equations represents the given graph
_____72. The solution of the system of equations is?
_____73. Make a statement referring to lines . (the graph above )
_____74. Solve the compound inequality 24 < x + 6 < 100
_____75. List three examples of linear funtions
76. After 6 weeks on a fitness program, Jimmy can jog 15 miles per week. This is an improvement since at 2 weeks he was able to jog only 11 miles per week.
a. Find the equation that gives Jimmy’s mileage (y) in terms of the number of weeks (x) that he stays in the program.
Find m / Find b / Equationb. Write your equation in STANDARD FORM
c. Use your equation to estimate how many miles a week Jimmy will e able to jog in 20 weeks
77. Graph the system of inequalities shown below.
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