Algebra 1 Fall Finals Review Assignment - Math with Mrs ...mathwithmrslandrum.weebly.com/uploads/2/1/4/9/... · This Assignment is due on the day of your final and is worth 500 assignment

Algebra 1 Fall Semester Final Review Name_______________________________

It is very important that you review for the Algebra Final. Here are a few pieces of information you want to know.

� Your Final is worth 20% of your overall grade � The final covers concepts from the entire semester, they are the following, including the

problem numbers that will be assigned each night for homework.

o Unit 1 – Introductory Unit (Tuesday, 12-9, # 1-9) o Unit 2 – Solving Equations (Wednesday, 12-10, # 10-16, 18, 20) o Unit 3 – Graphing Equations (Thursday, 12-11, # 21-30, 33, 35) o Unit 4 – Solving Systems (Friday, 12-12, # 36-44) o Unit 5 – Linear Inequalities (Monday, 12-8, # 17, 19, 31, 32, 34,

45-50) � The final is 50 multiple choice problems, here are some tips for multiple choice problems

o Read the question before you look at the answer o Come up with the answer in your head before looking at the possible answers, this

way the choices given on the test won't throw you off or trick you o Eliminate answers you know aren't right o Read all the choices before choosing your answer o If there is no guessing penalty, always take an educated guess and select an

answer o Don't keep on changing your answer, usually your first choice is the right one,

unless you misread the question o A positive choice is more likely to be true than a negative one o Usually the correct answer is the choice with the most information

Finals Schedule

Monday, December 15th, 2014 1st period Final 7:45 - 9:30 2nd period 9:40 -10:19 3rd period 10:24 - 11:03 4th period 11:08 -11:47 Lunch 11:47 -12:27 5th period 12:27-1:06 6th period 1:11 -1:50 7th period 1:55 -2:35

Tuesday, December 16th, 2014 2nd period exam 7:45 - 9:30 Break 3rd period exam 9:40 -11:25 Wednesday, December 17th, 2014 4th period exam 7:45 - 9:30 Break 5th period exam 9:40- 11:25 Thursday, December 18th, 2014 6th period exam 7:45 - 9:30 Break 7th period exam 9:40 -11:25

This Assignment is due on the day of your final and is worth 500 assignment points. Make sure you show your work for full credit, circling the correct answer is not enough.


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Algebra 1 Semester 1 Test Reference Sheet

Slope Formula � � ��

�, �� Form of the Line � � ��

Point-Slope Form ��

Slope-Intercept Form � � ��

Standard Form A� � B� � C


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Multiple Choice: Identify the choice that best completes the statement or answers the question.

1. In an algebraic expression, what separates the terms?

A. addition and subtraction signs C. multiplication and division signs

B. parentheses D. multiplication signs

2. Evaluate the expression ��

� when � � �2 and � � 3.

A. �10 C. 0

B. 203 D. 10

3. A parking lot holds 42 cars. There are 26 cars in the lot already. Which inequality can be solved to show all the numbers of cars �� that can still park in the lot?

A. 26 � � 42 C. 26 � 42 � B. 26 � � " 42 D. 26 � 42 " �

4. Leroy works part time for a moving company. One day he had to move 34 boxes from a truck to inside a house. After moving some boxes, he took a break and told his boss that he has only 15 more boxes to move. Which equation can be solved to find how many boxes Leroy moved before his break?

A. 15 � 34 � � C. 34 � � � 15

B. 15 � � � 34 D. 34 � � � 15

5. Ayanna and Zoe are measuring the speed of a snail. Which units would be most appropriate for measuring this quantity?

A. miles per hour C. meters per second

B. minutes per millimeter D. millimeters per minute


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6. Which of the following represents a function?

I. input output 2 5 3 5 4 5 5 5

II. input output 2 4 3 6 3 8 5 10

III. input output 1 1 2 2 3 2 4 1

A. All of the above

B. I and II

C. I and III

D. II and III

7. Which graph does not represent a function?

A.

C.

B.

D.

8. John bought x pounds of beef for a barbeque. The price for the beef was $1.49 for the first pound and $1.09 for each additional pound. Write an equation that shows how the cost of ground beef depends on the number of pounds x.

A. �$%& � 1.49� � 1.09 C. �$%& � 1.09�� 1� � 1.49

B. �$%& � �1.09 � 1.49�� D. �$%& � 1.09� � 1.49


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9. At the beginning of the year, Jason had $40 in his savings account. He plans to deposit $20 into his account each month. By the end of January, he will have $60, $80 by the end of February, $100 by the end of March, and so on. Which equation describes the amount in his savings at any given month ��?

A. %�)*+,% � 40 � 12� C. %�)*+,% � 60 � 15�

B. %�)*+,% � 60 �� D. %�)*+,% � 40 � 20�

10. The cost of food at a wedding is $150 plus $17 per person attending. Write an equation that gives the total cost of food as a function of the number of people attending. What is the cost for 47 people?

A. � � 17� � 150; $649

C. � � 17� � 150;$949

B. � � 150� � 17; $7067 D. � � 150� � 17; $7033

11. What is the solution for x in 5� � 2 � 2� � 7� � 2?

A. � � 0 C. +$%$01&*$+

B. � � 1 D. *+2*+*&30��+�%$01&*$+%

12. What is the solution for x in the equation, 4� � 7 � �5?

A. � � �4 C. � � 32

B. � � �14 D. � � 12

13. Given the following equation, what is the value of x? �3� � 25 � � � 21 � 2

A. � � 22 C. � � �3

B. � � 3 D. � � �22

14. Solve the equation 34.8� � 0.2�� 4� � �16.8 � 27�

A. � � �1.6 C. � � �8.8

B. � � �2.6 D. � � �2


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15. Which of the following inequalities represents the solution to 9� " �72?

A. � 6 �8 C. � " �81

B. � " �8 D. � 6 �648

16. Which of the following inequalities represents the solution to 3� � 3 � 6� 7 15?

A. � �6 C. � �4

B. � 7 4 D. � 7 �4

17. What is the solution to the compound inequality, 14 " 7� � 7 42?

A. 2 " � 72 C. 1 " � 5

B. 9 " � 13 D. 3 " � 7

18. A student solved the inequality �� 5 " 8 � 2 for x as shown below. Is the student correct? Explain.

�� 5 " 8 � 2

�� 5 � 5 " 8 � 2 � 5

�� " 8 � 7�

� " 8 � 7�

A. Yes, the solution is correct if y is a negative integer.

B. Yes, the solution is correct if y is a positive integer.

C. No, the solution is incorrect because the inequality sign should be reversed for all division steps.

D. No, the solution is incorrect because the inequality sign should be reversed when 5 is subtracted.


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19. Which number line represents the solution to the compound inequality, 2� � 5 1 or 4� � 7 6 9? A.

C.

B.

D.

20. Sean is driving to visit his friend in another state. In the first hour, he travels �9 of the total

distance. In the second hour, he travels 34 miles. If he has 194 more miles to go, how far apart do the friends live?

A. 294�*03% C. 274�*03% B. 285�*03% D. 262�*03%

21. A movie theater charges $8.50 for an adult ticket to an evening showing of a popular movie. To help the local animal shelter, the theater management has agreed to reduce the price of each adult ticket by $0.50 for every can of pet food a customer contributes to a collection barrel in the theater lobby. Which of the following shows an equation in which y represents the cost of an adult ticket in dollars for a customer who contributes x cans of pet food?

A. � � 8.5 � 0.5� C. � � 8.5 � 0.5�

B. � � 9� � 0.5 D. � � �9� � 0.5�

22. A line graphed on the coordinate plane has a slope of 2 and contains the point �3, 4�. Which of the following points is on the same line?

A. �2, 3�

B. �1, 1� C. �0, �3� D. ��1,�4�


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23. Given the graph and the equation, which line has a larger slope?

Line A Line B

3� � � � 12

A. Line A has a larger value for slope

B. Line B has a larger value for slope

C. Line A and Line B have the same slope

D. Cannot be determined

24. A student graphed the line 6� � � � 8. If she substitutes the number 3 in for the number 8 in the equation, how will the graph of the line change?

A. The graph of the line will shift up five.

B. The graph of the line will shift down five.

C. The graph of the line will rise less steeply.

D. The graph of the line will rise more steeply.

25. A student graphed the line 4� � � � 2. If he substitutes the number 6 in for the number 4 in the equation, how will the graph of the line change?

A. The graph of the line will shift up six.

B. The graph of the line will shift down six.

C. The graph of the line will rise less steeply.

D. The graph of the line will rise more steeply.


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26. Which is the graph of 2�� 2� � 3?

A.

C.

B.

D.

27. Which is the graph of 5� � 4� � 20?

A.

C.

B.

D.


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29. Which equation of the line has a slope of 3 and passes through the point ��4,�3�?

A. � � �3� � 9 C. � � 3� � 15

B. � � �3� � 15 D. � � 3� � 9

30. Which equation of the line that passes through the points :4� , 5; and :� �� , 8; ?

A. � � 32 <� � 12= � 8 C. � � �32 <� � 32= � 5

B. � � 32 <� � 32= � 5 D. � � �32 <� � 12= � 8

31. Which piecewise function is represented by the graph?

A. 2�� >2� � 3,� 13� � 5,� 7 1

B. 2�� >2� � 3,� " 13� � 5,� 7 1

C. 2�� >2� � 3,� 6 13� � 5,� 7 1

D. 2�� >2� � 3,� 13� � 5,� 6 1

28. Which of the following properly describes the line through the points �6, 1� and ��4, 6�?

A. The line slants upward at a rate of 2 and crosses the x-axis at 4.

B. The line slants upward at a rate of �� and crosses the y-axis at 6.

C. The line slants downward at a rate of �2 and crosses the x-axis at 4.

D. The line slants downward at a rate of � �� and crosses the y-axis at 4.


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32. Which graph represents the piecewise function?

2�� ?12 � � 1,� 6 22,� 2

A.

C.

B.

D.

33. Jim bought a cell phone plan that will cost him $25.00 per month plus $0.10 for every text. Which linear equation would be the best model for his cell phone plan cost?

A. � � 0.10� � 25 C. � � 1.00�� 0.10� � 25

B. � � 0.10� � 25 D. � � 25.10�

34. The first five terms of a sequence are given below: 29 25 21 17 14 Which equation describes the +@� term of the sequence?

A. 2�+� � 4+ � 17 C. 2�+� � �4+ � 33

B. 2�+� � �4+ � 23 D. 2�+� � 4+ � 28


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35. An exercise program begins the first week with 30minutes of daily exercise. Each week, the daily exercise is increased by 5minutes. Which function represents the number of minutes of daily exercise in the +@� week?

A. 2�1� � 30, 2�+� � 30+, 2$A+ 6 2

B. 2�1� � 30, 2�+� � 5+ � 30, 2$A+ 6 2

C. 2�1� � 30, 2�+� � 2�+ � 1� � 5, 2$A+ 6 2

D. 2�1� � 30, 2�+� � 52�+ � 1�, 2$A+ 6 2

36. The graph of a system of linear equations is shown below. What is the solution of the system?

A. �2, 4�

B. �6, 0� C. �0, 3� D. �0, 6�

37. Which equation would make this system have an infinite number of solutions?

>� � � � 2__________

A. 2� � 2� � 4 C. � � 2�

B. � � � � 3 D. � � 3� � 1

38. The equations of four lines are given below. Which two equations form a system with no solutions?

C*+31 � � 3� � 9

C*+32 � � �2�� 1� � 7

C*+33 � � 13� � 2

C*+34 � � �12 �� 4� � 1

A. C*+31�+DC*+32

B. C*+32�+DC*+33

C. C*+32�+DC*+34

D. C*+31�+DC*+33


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39. The graph and a table of values are given to represent two linear equations in a system of equations. Which of the following is the solution to the system?

Line A Line B

x y

�1 6 0 4 1 2

A. �2, 0� B. �0, �3� C. ��1, �5� D. ��2, �6�

40. The equation and a table of values are given to represent two linear equations in a system of equations. Which of the following is the solution to the system?

Line A Line B

� � �3� � 4

� � �1 4 1 �2 2 �5

A. �0, 1� B. ��2, 2� C. *+2*+*&3 +1��3A $2 %$01&*$+% D. +$ %$01&*$+


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41. Which x-coordinate is in the solution to the system of equations?

E � � 2� � 73� � � � 12

A. � � �26 C. � � 19 B. � � 2 D. � � 26

42. Which y-coordinate is in the solution to the system of equations?

E� � 0.5� � 2�� 3 � �

A. � � 5 C. � � 7 B. � � 8 D. � � 14

43. You invited friends over to your house to watch a movie. You let each person decide if they wanted to snack on popcorn, which cost $2.50 per person, or candy, which cost $1.75 per person. You spent $17.75 to buy snacks for 8 people. Write a system of equations that you could use to determine how many people chose popcorn �F� and how many chose candy ��.

A. 2�� E2.50F � 1.75� � 8

F � � � 17.75 C. 2�� >17.75 � 2.5F � 817.75 � 1.5� � 8

B. 2�� >2.50F � 8F � 17.751.75� � 8� � 17.75 D. 2�� E2.50F � 1.75� � 17.75

F � � � 8

44. Two different families bought general admission tickets for a Reno Aces baseball game. One family paid $70 for 6 adults and 2 children. The other family paid $59 for 3 adults and 4 children. How much does an adult ticket cost?

A. $8 C. $11.67

B. $9 D. $19.67


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45. Which is the graph of � 3� � 4?

A.

C.

B.

D.

46. Which is the graph of 2� � 5� 6 10?

A.

C.

B.

D.


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47.

Sally wants to buy her friend a bouquet for his birthday. She wants to contain both carnations and roses. She has $28.50 to spend. Carnations cost $1.50 each and roses cost $2.50 each. Which graph below represents the possible combinations of numbers of carnations and roses Sally can afford to buy?

A.

C.

B.

D.

48. Which system of inequalities models the graph below?

A. ? � 13 � � 12� � 4� 7 8

B. ?� �13� � 12� � 4� 7 8

C. ?� 7 �13� � 12� � 4� 8

D. ? � 7 13 � � 12� � 4� 8


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49. Jesse wants to plant peach and apple trees in his backyard. He can fit at most 9 trees. Each peach tree costs $60, and each apple tree costs $75. If he only has $600 to spend, make a graph showing the number of each kind of tree that he can buy.

A.

C.

B.

D.

50. Which of the following points is a possible solution to the following system?

? � 6 �42� � � 53� � 6� 7 12

A. ��1, 3� B. ��3, 2� C. �1, �6� D. �3, �2�

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Algebra 1 Fall Finals Review Assignment - Math with Mrs ...mathwithmrslandrum.weebly.com/uploads/2/1/4/9/... · This Assignment is due on the day of your final and is worth 500 assignment