Algebra IA Name: F I N A L E X A M R E V I E W Part 1 of 4 Period: 2 3 4 5 6 7
1 A cone has what as a base? 8 Simplify (- 2n + 4) - ( n - 5)
(A) prism (B) sphere (C) rectangle (D) circle
2 Which of the following are prisms? 9 Use the key below.
A B
x² x² x x 1 1
C D Simplify.
3 Angela’s garden is in the shape of a trapezoid (shown below). Write an expression that could be used to find the amount of fence needed to go around her garden.
4
4.5 4
8
10 What is the total surface area of the rectangular prism shown below?
24- 6 2 4 Simplify. 8+ 16 4
13 1 5 Simplify +( - ) 4 8 6 11 What is the volume of a rectangular prism with length 5 m, width 2 m, and height of 3 m?
6 Simplify (- 4x + 3 y - 7) + (4 x - y + 10). 7 12 Find the perimeter for the triangle below. 17 The net of a cube is shown below. Use a ruler to measure the dimensions of the cube to the nearest tenth of a centimeter.
8x+ 4 y - 5 3x+ 7 y - 6
x+ 7 y
13 Find the volume for the prism below.
What is the total surface area of the cube represented by this net?
18 The net of a cylinder is shown below. Use a ruler to measure the dimensions of the cylinder to 6(3a 7) 2(8 2 a ) 1 14 Simplify: - + - the nearest 8 inch and find the volume.
(4- 3 + 5)2 15 Simplify: -2(1 - 4)
16 19 Which statement is equivalent to “15 plus the 23 Use the problem below to answer the question quotient of 60 and w” ? below.
7+ 3(2x + 6) + 7 x A 15+ 60w Given Distributive Prop 15+ 60 6x+ 7 x + 18 + 7 Commutative Prop B w (6+ 7)x + 18 + 7 Distributive Prop 13x + 25 60 Arithmetic C 15 + w Write the step which should be placed in the box D 75w and is justified by the property on the right hand side.
20 David is trying to simplify the following expression: 16� (2- 2)2 3 3 . David makes the following observations about the expression. 24 Evaluate the following expression if 1 x= and y = - 1.5 : i. The expression equals -8 . 2 ii. He needs to add before squaring. iii. He needs to divide before multiplying. -6x + 2 y iv. He needs to subtract before adding. 10x+ 4 y
Which statement(s) are not correct?
A i and ii B iii and iv 25 Find the size of the label around a can of soda C iii only if the radius is 5 cm and the height is 8 cm. Round D iv only your answer to the nearest hundredth.
21 Juan wants to calculate the volume of the liquid inside the cylinder below. His teacher helped him set up the expression to calculate the volume of the liquid without the volume of the sphere. 26 Translate the following expression, “three times the quotient of 2 and a number n”. Use the expression below to calculate the volume. Express your answer both as a decimal and as a mixed fraction. 27 Translate the following expression, “a number, 22鬃(7)2 10- 4 鬃 22 (3) 3 x, added to the sum of 4 and 3y.” 7 3 7
22 28 Trina was recording the calorie content of the food she ate. For lunch she had 3 ounces of chicken, 2 slices of cheese, 2 slices of wheat bread, one-half tablespoon of mayonnaise, a 16-ounce glass of lemonade, and an apple for dessert. According to the chart below, which statement best represents the total number of calories she consumed during lunch?
1 A Calories = 3( 115) + 2( 45) + 2( 55) +( 100) + 16( 110) + 70 2 B Calories = 115 + 45 + 55 + 100 + 110 + 70 1 C Calories = 115 + 2( 45) + 2( 55) +( 100) + 2( 110) + 70 2 45 55 110 D Calories = 115 + + + 2(100) + + 70 2 2 2
29 A 12 by 16-foot rectangular floor will be 31 Use the figure below to answer the question. covered by square tiles that measure 2 feet on each side. What concept (perimeter, area, total surface area, or volume) do we need to apply if we wish to find how many tiles will be needed to cover the floor? How many tiles will be needed to cover the floor? ? x - 3
30 Choose the expression that could be used to find the value of the missing angle, “?”.
A 90- x - 3 B 180-x - 3 C 90- (x - 3) D 180- (x - 3) Algebra IA Name: F I N A L E X A M R E V I E W Part 2 of 4 Period: 2 3 4 5 6 7
32 Find the perimeter for the polygon below.
x + 4
2x x + 4 4x - 3 2x 4x - 3 5
33 If x = 5 , what is the perimeter for the figure above?
34 Solve for p: 0.36p + 0.26 = 3.86 Use the following to answer questions 31-33: The net of a cube is shown below. Use a ruler to measure the dimensions of the cube to the nearest tenth of a centimeter.
35 What is the perimeter of the base represented by this net?
36 What is the lateral surface area of the cube represented by this net?
37 What is the volume of the cube represented by this net? 38 A video game company spends $1500 per day 43 There are 15 players on the select Little on maintenance expenses plus an extra $8 for each League Team. If the number of players is 3 video game, v, it produces. In return, the video more than twice the number of pitchers, p, games are sold at $25 each. which equation could be used to find the number of pitchers on the team? Write an equation that could be used to find the number of video games, v, the company needs to A 15 = 3 + p sell on a daily basis if it wants to cover its daily cost? (Hint: Cost = revenue.) B 15 = 2p + 3 C 15 = 3 p + 2 D 3 = 15 + 2p
39 Julie is checking over Sam’s work and notices 44 If k +3 = 24 , then what does k - 3 equal? 1 a mistake which gave him the answer of -1 . 2
2n + 1 = - 4 45 When 24 is subtracted from b, the result is Step 1: 2n = 3 -80 . What is the value for b? 1 Step 2: n = - 1 2
Explain the mistake in Sam's work. 1 46 Solve. n +5 = 5 2
40 The area of a concrete rectangular patio is 324 m2. If the width of the patio is 19 m, what is the length? 47 Solve. -6y + 15 = 42
48 Solve. -6 = 5b + 84
41 The sum of two numbers is 78. If the smaller number is 15, what is the larger number? 49 The perimeter of a square is 44 inches. What is the length of each side?
42 50 37 is equal to 65 increased by three times some 57 Fill in the box with the missing step(s). number. What is that number? Leave your answer as an improper fraction. 7+ 3(2x + 4) = 25
51 The quotient of x and -6 is equal to 15. What is the value of x?
6x + 19 = 25 6x = 6 x =1
58 Julie is checking Sam’s work and notices a 11 1 1 2 3 mistake which gave him 10 instead of 2 . 52 Solve. = + x 2 3 5 3( 2n+ 1) = - 4( n - 2) Step 1 6n+ 3 = - 4 n + 8 Step 2 6n= - 4 n + 11 Step 3 10n = 11 11 Step 4 n = 10 53 John's grade for the second six weeks Which step shows his error? improved by 20% over his grade for the first six A Step 1 weeks. If John's grade for the 2nd six weeks is a B Step 2 90, what was his grade for the first six weeks? C Step 3 D Step 4
59 Solve for y: 2x- 3 y = 6
2x- 3 y 1 54 Solve for h: A= bh 2 4y- (2 - x )
55 Find the value of x.
60 Find the perimeter of the rectangle below. 1 ( 3 x 7) ( 4 x 3) 4
61 If the volume of a rectangular prism is 252 cm3, what is the length of the prism when the 56 width is 4 cm and the height is 7 cm ?
62 The dimensions of a rectangle are l and 68 Solve for x: 2(x- 5) + 5 x = 7 x - 3( x - 3) + 8 3l – 8 . Find the length, l , if the perimeter is 60 m. 3l - 8 3l - 8 69 Jose buys 130 tickets at a carnival. If each ride l at the carnival costs 4 tickets, what is the greatest number of rides Jose can go on?
63 Eric earns $7.50 per hour working on his paper 70 What is a reasonable value for x in the route. He earns $6.00 per hour mowing yards. inequality below? Last week he worked 28 hours on his paper route. How many hours did he mow lawns if he made 7-2 x > - 1 $282.00? 3
A 21 B 15 C 12 64 The sides of a triangle are 5a - 6 , 3a , and D 11 2a + 9 . What is the value of a if the perimeter of the triangle is 47 ft ? 71 Which algebraic statement is equivalent to “fifteen minus a number is at least sixteen”?
A 15-x - 16 B x -15 > 16 1 1 C 15- x 16 65 Solve for a: a-8 = a + 2 15- x 16 3 2 D
72 An elevator can hold no more than 2,500 pounds. If each crate weighs 120 pounds, how many crates can be safely loaded onto the elevator if the male attendant weighs 225 pounds?
66 Solve for b: 2(b- 5) - 3 = 7 b - 6 - 5 b 73 Solve for w: -2w - 8 > 2
67 Algebra IA Name: F I N A L E X A M R E V I E W Part 3 of 4 Period: 2 3 4 5 6 7
74 What is the inequality graphed below? 79 Solve and graph your solution: 4a - 3� 19
x x -12 -10 -8 -6 -4 -2 0 2 4 6 8 -12 -10 -8 -6 -4 -2 0 2 4 6 8
A -10 x B -10 > x C -10 < x -10 x D 80 If 3 > -x , then name a reasonable value for x?
75 Which is not a value in the solution set for the graph shown below? 81 Rose has 8 more than twice the number of Lani’s candies. Rose has 32 candies. How many x does Lani have? -1 0 ¼ 1
A -2
B -11 4 82 Explain the difference in the statements: x > -6 and x � 6 . You may draw a picture to - 3 C 4 help support your explanation. D 1
76 You have $20 to spend on a cab from the airport to a restaurant. Ace Taxi Co. charges $0.35 per mile and an initial courtesy service cost 83 An elevator can carry up to 2000 pounds at one of $3.00. What is the greatest number of miles time. The UPS courier, Alex, weighs 240 lbs and you can travel without going over the budget? he needs to transport several 35 lb boxes to the 5th floor. How many boxes could Alex carry on one trip?
1 77 Solve and graph your solution: 2-x > 10 4 84 Write an algebraic statement that is equivalent x to “fifteen less a number is at least sixteen”. -12 -10 -8 -6 -4 -2 0 2 4 6 8
85 Solve for a: 2(a- 4) + 7 a < 6 a - 4( a + 2) + 3 a
78 86 Solve for w, then graph: 91 Paul has set aside $340.00 per month to pay 1 (8- 2w ) > - (2 w + 1) for his cell phone plan. His regular bill is 2 $142.00 per month plus each text message is $0.12. What is the greatest number of text x -12 -10 -8 -6 -4 -2 0 2 4 6 8 messages that he can send?
92 Find the largest integer such that eight more than 6 times the integer is less than 100.
87 Spark Energy charges a monthly base fee of $5 plus $0.163 per kilowatts used. Matthew’s family usually pays more than $45 a month for the electric bill. Write an inequality which represents the number of kilowatts, k, his family uses every month? 93 Carmen is buying a new car and wishes to 2 spend at most of her yearly salary on the car. 5 The car she wants costs $11,500. What is the minimum yearly salary she should make in order to buy this car?
88 Solve the inequality and then graph on the number line that is provided -2(x - 3)� 10 2 x x -12 -10 -8 -6 -4 -2 0 2 4 6 8
94 Graph the solution to the inequality:
2 (6x- 9)� 4 x - 6 3 x 3 x -12 -10 -8 -6 -4 -2 0 2 4 6 8
89 Which of the following is a reasonable value in the solution set of the inequality -6 < 8x - 10 - 3 x ?
A 1
4 B 5 95 If 9- 18x - 3 < - 12 + 6 x - 6 , then what is a reasonable value for 2x ? C -1
D -5
90 96 Rosa solved the inequality -2(x - 3) - 5 9 A {-13, - 9, - 5, - 1} -2(x - 3) - 5 9 B {-1, - 3, - 5,7} -2x - 6 - 5 9 C {0,- 5, - 9, - 13} -2x - 11 9 D {-1, - 4, - 8, - 12} -2x 20 x � 10 100 Identify the mapping diagram that represents Look at her work, and explain the step where she made the given relation (see below), and determine the mistake. whether the relation is a function.
Solve and graph the correct solution to Rosa’s problem. {(-6, - 8) , ( 1, - 8) , ( 2, - 5) , ( 3,7)}
97 Which of the following transformations will change the size of the figure but not its shape? -6 A Reflection -8 1 B Rotation A -5 2 C Dilation 7 3 D Translation This relation is a function.
98 Point (5,5) is translated 8 units to the left and 2 units down. What are the coordinates of the image point (new point)? -6 -8 1 -5 5 B 2 4 7 3 3
2 This relation is not a function.
1
-5 -4 -3 -2 -1 1 2 3 4 5
-1 -6 -8 -2 1 -5 -3 C 2 -4 7 3 -5 This relation is not a function.
99 The domain of the function f( x )= - 2 x - 1 is -6 0, 2, 4, 6 -8 { } . Which set of values is in the range 1 of the function? D -5 2 7 3
This relation is a function.
101 An electrician charges a flat fee of $50 to make 104 Match this table to the correct graph. a house call, plus $15 an hour for labor. The relationship between the number of hours worked x f(x) and the total cost can be represented by -1 -6 f( x) =15 x + 50 . Identify the independent 0 -5 2 -3 quantity and the dependent quantity in this relationship. 5 0
5 Dependent quantity: A 4 3
2
Independent quantity: 1
-5 -4 -3 -2 -1 1 2 3 4 5 -1
-2
-3 102 Which list of coordinate pairs defines a -4 function? -5
A {(2, 5), (4, 7), (7, 3), (9, 8), (10, 8)} 5 B B {(10, 5), (4, 7), (7, 3), (7, 8), (10, 8)} 4 3 C {(2, 5), (4, 7), (7, 3), (4, 6), (2,5)} 2 1
D {(4, 7), (5, 7), (6, 7), (4, 8), (12, 9)} -5 -4 -3 -2 -1 1 2 3 4 5 -1
-2
-3 103 -4 -5
5 C 4
3
2
1
-5 -4 -3 -2 -1 1 2 3 4 5 -1
-2
-3
-4
-5
5
D 4
3
2
1
-5 -4 -3 -2 -1 1 2 3 4 5 -1
-2
-3
-4
-5 105 Which of the following graphs best represents 108 Maria gets a job baby-sitting. She will earn the speed of a car in stop-and go traffic from the $15 per hour. She has already saved $50. time it leaves a parking place to the time it pulls in Write a function table to show the total at its destination point? money, $, she’ll have after she baby-sits for 1 hour, 3 hours, 15 hours and 20 hours. A B hour $ s 1 3 15 20 C D Write a function that describes Maria’s salary as a function of hours worked. Let S be the total amount saved and let n be the number of hours worked.
If Maria has $140 saved how many hours did she baby-sit? 106 Which function can be used to generate the table of values?
x f(x) Maria worked 10 hours baby-sitting, how -1 -3 much money has she saved? 0 1 1 5 2 9
109 Mr. Smith is going to buy a CD player that costs $200. He is also going to buy several CDs, A f( x) = -4 x which cost $15 each. f x= x + 5 B ( ) Write an equation that describes Mr. Smith’s total cost for buying a CD player and n number of CDs. C f x= x2 + 5 ( ) Let C be the total cost and let n be the number of CDs. D f( x) = 4 x + 1
What would be Mr. Smith’s total cost if he purchased 5 CDs?
107
How many CDs can he purchase with $365.00 ? 110 Use the graphs below to answer the 115 The following chart models a linear function. questions that follow. x f(x) I II 3 43 4 48 10 78
III IV What is the "rate of change" for the data?
A Which graph has a positive slope? B Which graph has a zero slope? C Which graph has a negative slope? D Which graph has an undefined slope? 116 This graph represents the function regarding life expectancy. The x-axis represents the current age of the person, and the y-axis represents the 111 An insurance company offers a low cost number of additional years of life expectancy. liability policy for $75.95, plus $33.50 per month per insured driver. Which equation expresses the ) s y cost of the policy, C, in terms of the number of r c a n e
months, n, for a family with 4 insured drivers? a t Y
c l e a p n x o
A C= 33.50 n + 75.95 i E t
i
e 80 d B C= 75.95 n + 33.50 f i d L A 70 C C= 4( 75.95 n) + 33.50 ( 60 D C= 4 33.50 n + 75.95 ( ) 50
40 112 A plumber charges a flat fee of $50 to make a 30 house call, plus $25 an hour for labor. The 20
relationship between the number of hours worked, 10 x, and the total cost can be represented by 0 f( x) =25 x + 50 . What is the dependent quantity 0 10 20 30 40 50 60 70 80 Current Age in this relationship?
According to the graph, which interval is the reasonable range of life expectancy for all people 113 Find the slope of the line graphed below. in the 50 to 70-year age span?
y 5 ＃ 4 A 10 y 30 3 B 30＃ y 10 2 C 10 吵 y 30 1 x -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 D 50 ３ y 10 -1
-2
-3
-4
-5
114 Algebra IA Name: F I N A L E X A M R E V I E W Part 4 of 4 Period: 2 3 4 5 6 7
117 The domain of the function f( x) = 2 x – 5 is D The car is driving at a constant rate in the time interval from 3 s to 8 s. 0, 2, 4, 6 { } . Which set of values is the range of 120 Four friends have compared their phone bills the function? for the last six months. Which table indicates that the charges represent a function? A {-5, - 1, 3, 7} A B {-5, 1, - 3, 7} 1st Phone Bill C {0, 2, 4, 6} Minutes Total Bill D {1, 3, 5, 7} 225 $42.98 260 $42.98 118 When will h( x )= 249 , if h( x )= 25 + 4 x ? 360 $42.98 330 $43.98 290 $41.98 450 $47.98
B 119 The graph shows the speed of a car as time 2nd Phone Bill passes in seconds. Minutes Total Bill 125 $45.98 260 $45.98 ) r h
/ 260 $55.98 i m
( 330 $51.98
y t
i 290 $45.98
c 10 o l 550 $75.98 e 9 V 8 C 7 3rd Phone Bill 6 Minutes Total Bill 5 125 $39.99 4 360 $39.99 3 350 $39.99 2 1 330 $39.99 0 350 $49.99 0 1 2 3 4 5 6 7 8 9 10 Time (seconds) 540 $59.98
D th Which of these statements is true? 4 Phone Bill Minutes Total Bill A The car is stopped in the time interval from 3 s 425 $49.99 to 8 s. 460 $49.99 550 $54.99 B The car is coasting downhill in the time interval 330 $49.99 from 8 s to 10 s. 290 $49.99 550 $56.99 C The car is driving at a constant rate in the time interval from 0 s to 3 s. 121 If C( m )= 25 + 0.75 m , what is C(25.5) ? 124 The graph below models s( x ) . s(x) A 44.125 B 216.25 160 C 43.75
D undefined 120
80
40
0 x 122 Which of the following is a function? 0 2 4 6 8 10
y y 5 5 For what value of x will s( x )= 100 ? 4 4
3 3
2 2 1 x 1 x -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 -1 -1
-2 -2
-3 -3
-4 -4
-5 -5 1 2 125 What is the slope between the set of points: (-6, - 8) and (4,8) ? y y 5 5
4 4
3 3
2 2 1 x 1 x -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 -1 -1
-2 -2
-3 -3
-4 -4
-5 -5 3 4
A 3 only B 2 and 4 only C 1, 2 and 3 only D 1, 2 and 4 only
123 126 Which of the following graphs model the table below?
2 x h( x )= 2 - x 3 -6 6
-3 4
0 2
6 -2
y y A 7 B 7 6 6 5 5 4 4 3 3 2 2 1 x 1 x -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 -1 -1 -2 -2 -3 -3 -4 -4 -5 -5 -6 -6 -7 -7 -8 -8
y y C 7 D 7 6 6 5 5 4 4 3 3 2 2 1 x 1 x -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 -1 -1 -2 -2 -3 -3 -4 -4 -5 -5 -6 -6 -7 -7 -8 -8 127 If the relationship between two unknown 129 If each CD costs $5 and each DVD costs $10, quantities was stated y = –3 x – 4 , which of these the following inequality represents the graphs would most clearly show that relationship? number of CDs, c, and DVDs, d, that you can buy for $250: y A 7 6 5c+ 10 d 250 5 4 3 Which of the following graphs represents the 2 inequality? 1 x -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 -1 -2 s -3 ' D
-4 V D
-5 f
-6 o
# 50 -7 -8 A 25 y B 6 5
4 0 0 25 50 3 # of CD's s
2 '
1 D
x V D
-7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 f
-1 o
# 50 -2
-3 B -4 25 -5
-6 0 0 25 50 # of CD's
y s C 6 ' D 5 V D
4 f o
3
# 50 2 1 x C -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 25 -1
-2 -3 0 0 25 50 -4 # of CD's -5 s '
-6 D V D
f o
# 50 y D 6 5 D 4 25 # of CD's 3
128 2
1 x 25 50 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 # of CD's -1
-2
-3
-4
-5
-6 133 Which point is in the solution set of 2x- 3 y > 9 ? Use the graph below if needed. 130 For the linear function f( x) = -2 x – 7 , what will be the effect of subtracting 3 from the y- y intercept? 8
6 A The slope of the line will become steeper. 4 B The slope of the line will become less steep. 2 C The line will be moved up 3 units on the x coordinate plane. -10 -8 -6 -4 -2 2 4 6 8 10 -2 D The line will be moved down 3 units on the coordinate plan -4
-6
-8
-10
131 Give the x-intercept and y-intercept of the line that is represented by the data set. Use the graph if F (0,7) needed. G (3,- 5) x -4 -2 0 2 4 H (7,7) y -1 0 1 2 3 J (9,3)
5 y
4
3
2
1 x -6 -5 -4 -3 -2 -1 1 2 3 4 5
-1
-2
-3
-4
-5
x-intercept:
y-intercept: 132
134 Use the graphs below to answer the questions that follow.
y y 5 5 4 4 3 3 2 2 1 x 1 x I -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 II -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 -1 -1 -2 -2 -3 -3 -4 -4 -5 -5 -6 -6
y y 5 5 4 4
3 3 2 2 1 x 1 x III -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 IV -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 -1 -1 -2 -2 -3 -3 -4 -4 -5 -5 -6 -6
A. Which line has a slope of -1?
B. Which line has an x-intercept of (- 3,0) ?
C. Which line has a y-intercept of (0,3) ?
D. Which line has a slope that is “undefined?”
E. Which line has a slope of zero?
F. Which is the linear parent function?
G. Which is the graph of y= - x ?
H. Which is the graph of x = -3? 135 On the grid provided, graph the given scenario.
A 7 y B 7 y C 7 y 6 6 6 5 5 5 4 4 4 3 3 3 2 2 2 1 x 1 x 1 x -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 -1 -1 -1 -2 -2 -2 -3 -3 -3 -4 -4 -4 -5 -5 -5 -6 -6 -6 -7 -7 -7 -8 -8 -8
4y- 3 x = 12 y> x - 3 4x- 2 y 6
D 7 y E 7 y F 7 y 6 6 6 5 5 5 4 4 4 3 3 3 2 2 2 1 x 1 x 1 x -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 -1 -1 -1 -2 -2 -2 -3 -3 -3 -4 -4 -4 -5 -5 -5 -6 -6 -6 -7 -7 -7 -8 -8 -8
2 Through -3,4 with a slope of - y= x y=3 - x ( ) 3 1 140 What is the equation of the vertical line that 136 The equation y= x - 2 is graphed below. If 2 passes through (2,3) ? the line is shifted three units up, what would be the y equation of the new line?
y 8 5
4 6
3
2 4
1 2 x -5 -4 - - - 1 2 3 4 5 x 3 2 1 -1 -8 -6 -4 -2 2 4 6 8 -2
-3 -2 -4
-5 -4
-6
137 If the point (x ,2) lies on the graph of the line -8 2x- 7 y = 14 , then what is the value of x?
141 What is the equation of the line, in slope- intercept form, which passes through (3, 3) and (-2,3) ?
138 Which of the following statement(s) is true about the graph of the line represented by
x- y = -1
I The slope is 1 and the x-intercept is (- 1,0) . 142 What is the equation of the line, in slope- intercept form, which passes through the point II The slope is -1 and the y-intercept is (0,1) . 1 (0,- 6) and has a slope of ? 2 III The slope is 1 and the y-intercept is (0,1) . IV The slope is -1 and the x-intercept is (0,- 1) .
139 143 If graphed, what is the equation that will 145 The line 2x+ y = 6 intersects one of the 5 include the points (-3,1) and (-2,4) ? points on the graph below. What is the x value of the point that it intersects?
y y 6 8 5 M 6 4 3 P 4 2 1 N x 2 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 x -1 -8 -6 -4 -2 2 4 6 8 K -2
-2 -3 -4
-4 -5 L -6 -6 -7
-8
146 Write the equation of the line which has an x- intercept of (1,0) and a slope of 2.
144 What is the function that models the data below?
x f(x)
–5 7 147 Write the equation of the line which passes –2 4 1 though the point (- 2,4) and has a slope of - . 2 0 2 4 –2
148 Write the equation of the line which has an x- 152 Write the equation of the graphed line, in slope intercept of (3,0) and a y-intercept of (0,- 2) . intercept form.
y 5
4
3
2
1
x -5 -4 -3 -2 -1 1 2 3 4 5 -1
-2
-3
-4
-5
149 Write the equation of the line which contains the points (3,- 1) and (0,- 2) .
153 Write the equation of the graphed line, in slope intercept form.
y 5
4
3
2 150 Write the equation of the line which contains 1 the points (- 4,1) and (4,- 3) . x -5 -4 -3 -2 -1 1 2 3 4 5 -1
-2
-3 151 -4 -5