alg ferp sem1 12-13pens cost $1.00 each and pencils cost $0.50 each. write an equation to represent...

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Algebra Name ______________________ Semester 1 Date _____________Period ___ Unit 1

1) Use the given box and whisker plot to find the IQR. (Note: IQR stands for the __________ ____________________ _______________ ) 2) Given the following data: 4, 1, 6, 7, 2, 4, 1, 2

a) Find the five number summary (min, Q1, median, Q3, max).

________________

b) Draw a box and whisker plot.

c) Find the IQR.

________________ 3) Using the histogram below, find the total number of cappuccinos consumed from 1990-1996. ________________

Unit 2 Use the distributive property to write an equivalent expression. 4) 2 – (3x – 4)

____________

5) 2(a – 5) – (a + 5)

____________

6) 1 2 8 3 52

x x

____________

7) 1 8 244

x

____________ Solve each equation. 8) 2 – c = 5 ____________ 9) – 67 = – 8n + 5 ____________

10) 35a

____________

‘90 ‘92 ‘94 ’96

40 30 20 10 0

Year

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11) 8 3

2x

____________

12) 3 2 114

x

____________

13) 5x + 4x – 27 = 81 ____________ 14) 8g + 4 – 6g = – 5 ____________ 15) 6 – (2r – 8) = 14 – 2r _____________ 16) 8 4 2 5 4x x x ____________ 17) 3 2( 5) 7m m m _____________

18) 485

k

_____________

19) 1 23 42 3

x x

_____________ 20) 5 3 3( 3) 2x x x ______________ 21) 8 9 6 2( 10) 1x x x

_____________

22) 1 7 82

b

____________ 23) Given 2x – 5y = 8, solve for y. _____________ 24) If P = 2 l w , solve for w. _____________

25) Given 3

v mt , solve for m.

____________




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26) Solve for w: V l w h

____________

27) Solve for x: 3x y z

____________

28) Solve for a: 13

ab c

____________ Justify your steps when solving the following. 29) 3 – 2(x + 4) = 12 30) 7 – 4x = 13

31) 9 32x

32) Natalie wants to paint her room. If one can of paint covers 300 sq. feet and the room is 1250 sq. feet, how many cans of paint must she buy? _____________

33) If 26 of your friends and yourself are going to six flags and each car holds 4 people. How many cars will you need to get you all there? Write an equation to represent the problem and solve. ____________ Unit 3 34) Given the domain D = {-2, -1, 0, 1, 2} for the function f(x) = -3x +1, state the range.

Range: __________________ 35) Given the following table, state the domain and range of the function.

X 3 4 5 6 f(x) 9 11 13 15

Domain: __________________________

Range: ___________________________ 36) Draw a graph that is a function . Draw a graph that is not a function. 37) Does the table represent a function? Explain.

Circle one: Yes No

Explanation:

x f(x) 3 4 2 4 6 5 7 6




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38) Is the ordered pair 1( , 4)2 a solution of the equation

4x – 3y = 14? Find the rate of change of the line that passes through the given points. 39) (2, 4) and (7, 3) _____________ 40) (-5, 2) and (-10, -8) _____________ 41) Find the rate of change. Slope: _______ 42) A car travels an average speed of 45 miles per hour. How

many hours would it take to travel 540 miles?

____________ 43) Given the table of values of a linear function, find the rate

of change. ______________

44) Identify the slope and y-intercept of the following lines.

a) y = 3x + 7 slope:____; y-int:__________ b) y = 12 – x slope:____; y-int:__________ c) y = x slope:____; y-int:__________

Identify the slope and y-intercept. 45) 4x – y = 13

equation: _________________ slope:____; y-int:__________ 46) y – 3 = ½ (x + 6)

equation: _________________

slope:____; y-int:__________ Evaluate each function given x = – 3 47) f(x) = 15 – x

____________

48) f(x) = – 3(19 – x) ____________ 49) Given f(x) = -7x – 3, find the value of x so that f(x) = 17. ____________ 50) Given f(x) = ½ x + 3, find the value of x when f(x) = -5

_____________

Find the x and y intercepts of the following lines. 51) 6 3( 9)y x x-int: _______; y-int: _______ 52) -5x + 3y = - 45 x-int: _______; y-int: _______

53) 3 154

y x x-int: _______; y-int: _______

X Y -2 1 -1 2 0 3 1 4

x

y

(4, -2)

(-1, 4)




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54) Draw and label a graph that represents Joe’s speed as a function of time: Joe begins at the starting line. He picks up speed until he reaches a constant running rate. Once he crosses the finish line, he slows down to a complete stop.

Graph the following lines. 55) 6x – 4y = 12 56) 3y = x - 6

57)

13 ( 2)2

y x

58) The daily cost of renting a car is $35 plus $0.25 per mile

traveled. If Matilda paid $89 for a day’s rental, how many miles did she travel?

Equation: ______________

# of miles traveled: ______ 59) You are buying pens and pencils for school and have a

total of $4.00 to spend. Pens cost $1.00 each and pencils cost $0.50 each. Write an equation to represent this situation. Graph that equation

60) You join a gym that charges a membership fee of $80 to join and a monthly fee of $25. Write an equation to represent this situation. Graph the equation.

61) Find the inverse of the following function.

X Y

-1 3

0 4

1 5

2 6

62) Graph the inverse of the following function.




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Unit 4 63) Write an equation of the line in slope intercept form

given slope: 3 and y-intercept: -7 . _____________

64) Write the equation for the line represented by the following table: (write in point-slope form)

Equation: ______________________ 65) Write an equation of the line in point slope form

that passes through: (-1, 5); m = -4

________________ 66) Write an equation of the line in slope intercept form

that passes through: ( -2, 13); (1, -2)

________________ 67) Write an equation of the line in standard form that

passes through: (3, 9) ; (-7, 4)

________________

68) Write the equation of the line with x-intercept 3 and y-

intercept -6. Write in standard form. ___________________ 69) Write the equation of the line in standard form. : ____________________ 70) While on vacation, you rent a jet ski for $35 per hour and

pay a rental fee of $25 to rent a towing inner tube. Your bill came to $270. Set up an equation that represents the situation. How many hours did you rent the jet ski?

71) Rachel works at Chili’s. The table shows her hours

worked and pay for last week. Write an equation to represent Rachel’s pay based on the number of hours she works. What is the amount that she is paid per hour?

Hrs Pay $

2 20.50 5 51.25 6 61.50 9 92.25

_____________

x -1 3 4 11 y 7 5 4.5 1




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72) Vince and Tony take turns driving to Phoenix. Tony drives 4 times as long as Vince. Together they drive 30 hours. Write an equation that represents the situation. Find the total amount of time Tony drove. Then, find the total amount of time Vince drove.

Equation: ___________________

Tony:__________

Vince:__________ The table shows the cost of a catered lunch buffet for different numbers of people. Use your calculator to answer questions #73-75.

# of people 12 18 24 30 36 42

Cost($) 192 288 384 480 576 672 73) Why can this situation be modeled by a linear equation? 74) Write an equation that gives the cost as a function of the number of people attending. (slope-intercept) _____________ 75) What is the cost of a lunch for 120 people? ____________ The number of Starbuck’s stores in a city is based on the population of the city in 1000’s. It can be modeled by the equation y = 0.25x + 3. Use your calculator to answer #115 and 116. 76) Find the number of Starbuck’s stores in a city with the population of 120,000. ____________ 77) If there are 15 Starbucks in a city what is the approximate population of the city? ____________

78) Make a scatter plot of the data. Draw a line of fit and describe the correlation of the data. Use the linear regression feature on your calculator to write the equation.

Equation: _________________ Correlation:___________ 79) The table shows the time needed to roast turkeys of different weights. Make a scatter plot of the data. Describe the correlation of the data and estimate the time (in hours) it takes to roast a 10 pound turkey (use linear regression). Weight(lbs) 6 8 12 14 18 20 24 Roast Time(hrs)

2.75 3 3.5 4 4.25 4.75 5.25

Correlation: _____________ Roast time: _______

X 1 2 3 3.5 4 4.5 5 Y 35 21 16 12 8 7 2




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Write the inverse for the following functions. 80) y = 2x + 7

81) 2 83

y x

Unit 5 82) Which system has an infinite number of solutions?

a)3 2 1

2 3 4x y

x y

b)5 210 2 4x y

x y

c)11 15 1311 15 22

x yx y

d)7 8

5 6x y

x y

83) Solve the system of equations:

6 3 115 6 13y xx y

________________


3 6 6

2 5y x

y x

________________


2 55 2 17x yx y

________________


2 10 45 2y xx y

________________


5

3 2 7xx y

________________

88) Your teacher is giving you a test worth 100 points containing 40 questions. There are 2-point questions and 4-point questions on the test. How many of each type of question is there? Use: x = # 2 pt questions, y = # 4 pt questions

________________




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89) Altogether 292 school supplies were sold to raise money for Math Team. An eraser costs $0.10. A protractor costs $0.30. The school supplies cost $47.00. Which system best represents the situation?

a) 292

0.10 0.30 4.70e p

e p

b) 10 30 292

47.00e p

e p

c) 292

1 3 470e pe p

d) 29247.00

e pe p

90) Solve the following systems of equations:

5 2

4 5x yx y

________________ 91) Solve the following system of equations:

2 3 83

42

x y

y x

92) In which quadrant does the solution for the system lie?

64

75

58

y x

y x

________________ 93) Solve the system of equations:

3 4 85 3 6x yx y

________________ 94) Suppose your class receives $1084 for selling 205

packages of greeting cards and gift wrap. Greeting cards are $10/package. Gift wrap is $4/package. Solve the system to find the number of each type of package sold.

(Use C = # cards and W = gift wrap)

II

III IV

I

x

y




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95) Graph the linear inequality and name an ordered pair that is a solution.

3 4 24x y

ordered pair:____________ 96) Graph the linear inequality 5x + 2y < 20 and name two

ordered pairs that are solutions.

points: ___________________________ 97) Graph the linear inequality of x – y > 5.

98) Graph the linear inequality of 1 23

y x .

99) Graph the solution of the system of linear

inequalities:

21

xy

100) Graph the solution of the following system of

linear inequalities:

4 63 2 6y xx y




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101) Which of the following points is a solution of the system:

15

22 3 6

y x

x y

a) (2, 1) b) (4, -2) c) (6, 4) d) (0, 0)

102) Graph the solution for system of linear

inequalities:

4 2 22 3x yx y

103)Graph the solution for the system of linear inequalities:

3 4 82 3 5x yy

104) Write an inequality that describes the graph below.

Inequality:________________

105) Write a system to represent the following graph:

________________




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106) Which of the following is the system of inequalities for the graph below?

a) 3

5y xx

b)

35

y xx

c) 3

5

y xx

d) 3

5y xx

107) The following graph represents the solution to which system of inequalities?

a)

42 23

x y

y x

b)

42 23

x y

y x

c)

42 23

x y

y x

d)

42 23

x y

y x

Unit 6

108) Predict the shape of the graph for the equation:

3y x .

a) Linear, slants up b) U-shaped, opens down c) V-shaped, opens down d) V-shaped, opens up

109) Sketch the graph of the following:

4 2y x

110) What do the values of a, h and k do to the graph of

y x




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alg ferp sem1 12-13pens cost $1.00 each and pencils cost $0.50 each. write an equation to represent...

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