Download Unit 4 Review Problems Algebra 1 Answer Section

Unit 4 Review Problems Algebra 1
Multiple Choice
Identify the choice that best completes the statement or answers the question.
1. A new comedian is building a fan base. The table shows the number of people who attended his shows in the
first, second, third and fourth month of his career. Which graph could represent the data shown in the table?
Month
1
2
3
4
Total Number
of People
119
214
385
693
number of people
c.
number of people
a.
month
month
d.
number of people
b.
number of people
____
month
month
The table shows the relationship between the number of sports teams a person belongs to and the
amount of free time the person has per week.
Number of Sports
Teams
0
1
2
3
____
Free Time
(hours)
46
39
32
25
2. Is the above relationship a linear function?
a. yes
____
b. no
3. What is the graph for the above relationship?
a.
50
c.
50
40
Free Time (hr)
Free Time (hr)
40
30
20
10
30
20
10
2
4
2
Number of Sports Teams
b.
d.
50
50
40
Free Time (hr)
Free Time (hr)
40
30
20
10
30
20
10
2
4
Number of Sports Teams
____
4
Number of Sports Teams
2
4
Number of Sports Teams
4. The ordered pairs (1, 81), (2, 100), (3, 121), (4, 144), and (5, 169) represent a function. What is a rule that
represents this function?
a.
c.
b.
d.
What is the graph of the function rule?
____
5.
a.
c.
y
–4
4
4
2
2
–2
2
4
–4
x
–2
–2
–2
–4
–4
b.
d.
y
–4
y
4
2
2
2
4
x
4
x
2
4
x
y
4
–2
2
–4
–2
–2
–2
–4
–4
____ 6. A taxi company charges passengers $1.00 for a ride, and an additional $0.30 for each mile traveled. The
function rule
describes the relationship between the number of miles m and the total cost of the ride c.
If the taxi company will only go a maximum of 40 miles, what is a reasonable graph of the function rule?
a.
c.
20 C
20 C
16
16
12
12
8
8
4
4
10
b.
20
20
30
40
m
d.
C
20
16
16
12
12
8
8
4
4
10
20
30
40
m
10
20
30
40
m
10
20
30
40
m
C
____
7. Write a function rule that gives the total cost c(p) of p pounds of sugar if each pound costs $.59.
a.
c.
b.
d.
____
8. A snail travels at a rate of 2.35 feet per minute.
• Write a rule to describe the function.
• How far will the snail travel in 5 minutes?
a.
c.
; 11.75 ft
b.
; 7.35 ft
d.
; 2.13 ft
; 11.75 ft
____
9. Bamboo plants grow rapidly. A bamboo plant is 130 inches tall. Tomorrow it will be 143 inches tall, the next
day it will be 156 inches tall, and on the next day it will be 169 inches tall. Write a rule to represent the height
of the bamboo plant as an arithmetic sequence. How tall will the plant be in 13 days?
a.
; 286 inches
b.
; 299 inches
c.
; 286 inches
d.
; 299 inches
The rate of change is constant in each table. Find the rate of change. Explain what the rate of change
means for the situation.
____ 10. The table shows the number of miles driven over time.
Time (hours)
Distance (miles)
4
204
6
306
8
408
510
10
a.
; Your car travels 51 miles every 1 hour.
b. 204; Your car travels 204 miles.
c.
; Your car travels 51 miles every 1 hour.
d. 10; Your car travels for 10 hours.
Find the slope of the line.
____ 11.
y
4
2
–4
–2
2
4
x
–2
–4
a.
1
2
b.

1
2
c.
2
d. 2
What is the slope of the line that passes through the pair of points?
____ 12. (–5.5, 6.1), (–2.5, 3.1)
a. –1
b. 1
c. –1
d. 1
What are the slope and y-intercept of the graph of the given equation?
____ 13.
____ 14.
y = –9x + 2
a. The slope is 9 and the y-intercept is –2.
b. The slope is –9 and the y-intercept is 2.
c. The slope is –2 and the y-intercept is –9.
d. The slope is 2 and the y-intercept is –9.
y=
a.
9
3
x
8
10
3
9
and the y-intercept is .
10
8
b.
8
3
The slope is
and the y-intercept is
.
9
10
c.
3
9
The slope is 
and the y-intercept is .
10
8
d.
9
3
The slope is
and the y-intercept is  .
8
10
The slope is
Write the slope-intercept form of the equation for the line.
____ 15.
y
4
2
–4
–2
2
4
x
–2
–4
a.
5
1
y=  x 
8
2
b.
8
1
y= x 
5
2
c.
5
1
x 
8
2
d.
8
1
y= x 
5
2
y=
What equation in slope intercept form represents the line that passes through the two points?
____ 16. (2, 5), (9, 2)
a.
3
41
y= x 
7
7
b.
7
41
y=  x 
3
7
c.
7
41
x 
3
7
d.
3
41
y=  x 
7
7
____ 17. (6.9, 5.9), (10.9, –2.1)
a. y = 0.5x – 19.7
b. y = 2x + 19.7
c. y = –0.5x – 19.7
d. y = –2x + 19.7
18. Giselle pays $210 in advance on her account at the athletic club. Each time she uses the club, $15 is deducted
from the account. Model the situation with a linear function and a graph.
a.
b
320
c.
Athletic Club Account
b
640
Athletic Club Account
480
Balance ($)
Balance ($)
240
160
80
320
160
2
4
6
8
x
2
Number of Visits
b.
b
400
4
6
8
x
Number of Visits
b = 210 – 15x
b = 195 + 15x
d.
Athletic Club Account
b
320
320
Athletic Club Account
240
Balance ($)
Balance ($)
____
y=
240
160
160
80
80
2
4
6
8
x
2
Number of Visits
b = 210 + 15x
4
6
Number of Visits
b = 195 – 15x
8
x
Write an equation in point-slope form for the line through the given point with the given slope.
____ 19. (8, 3); m = 6
a.
b.
____ 20. (–10, –6); m = 
c.
d.
5
8
a.
c.
5
y – 6 =  (x – 10)
8
b.
5
y – 6 =  (x + 10)
8
5
y + 6 =  (x + 10)
8
d.
5
y + 10 =  (x + 6)
8
____ 21. (3, –10); m = –0.83
a. y – 10 = –0.83(x + 3)
b. y – 10 = –0.83(x – 3)
c. y – 3 = –0.83(x + 10)
d. y + 10 = –0.83(x – 3)
Graph the equation.
____ 22. y + 5 = 2(x – 4)
a.
–8
c.
y
8
8
4
4
–4
4
8
–8
x
–4
–4
–4
–8
–8
b.
d.
y
–8
y
8
4
4
4
8
x
8
x
4
8
x
y
8
–4
4
–8
–4
–4
–4
–8
–8
3
____ 23. y – 3 =  (x + 4)
2
a.
–8
c.
y
8
8
4
4
–4
4
8
–8
x
–4
–4
–4
–8
–8
b.
d.
y
–8
y
8
4
4
4
8
–8
x
–4
–4
–4
–8
–8
What is an equation of the line?
____ 24.
y
4
2
–4
–2
2
4
x
–2
–4
a. y + 3 = 2(x + 2)
b.
y+5=
1
(x + 2)
2
c.
8
x
4
8
x
y
8
–4
4
1
(x – 2)
2
d. y + 3 = 2(x – 2)
y–3=
____ 25.
y
4
2
–4
–2
2
4
x
–2
–4
a. y – 2 = –4.5(x + 3)
b. y – 2 = 4.5(x + 3)
c. y – 2.5 = 0.2(x + 3)
d. y – 2.5 = 0.2(x – 2)
____ 26. The table shows the height of a plant as it grows. What equation in point-slope form gives the plant’s height
at any time?
Time (months)
Plant Height (cm)
3
21
5
35
7
49
9
63
a.
7
(x – 3)
2
b. y – 21 = 7(x – 3)
____ 27. x 
a.
y – 21 =
c.
y–3=
c.
x-intercept is 4; y-intercept is 
7
(x – 21)
2
d. The relationship cannot be modeled.
7
y = –4
5
20
7
b.
20
x-intercept is 4; y-intercept is
7
x-intercept is 4; y-intercept is
d.
x-intercept is
2
x + 7 in standard form using integers.
3
a. –2x + 3y = 21
c. –2x – 3y = 21
b. 3x – 2y = 21
d. –2x + 3y = 7
____ 28. Write y =
20
7
20
; y-intercept is 4
7
____ 29. The video store rents DVDs for $4.75 each and video games for $2.00 each. Write an equation in standard
form for the number of DVDs d and video games g that a customer could rent with $12.
a. 4.75d = 2g + 12
c. 4.75d + 2g = 12
b. 4.75g + 2d = 12
d. 4.75 + 2 = d
____ 30. The grocery store sells dates for $4.00 a pound and pomegranates for $2.75 a pound. Write an equation in
standard form for the weights of dates d and pomegranates p that a customer could buy with $12.
a. 4p + 2.75d = 12
c. 4d + 2.75p = 12
b. 4d = 2.75p + 12
d. 4 + 2.75 = d
Write an equation for the line that is parallel to the given line and passes through the given point.
____ 31. y = 5x + 10; (2, 14)
a.
1
y= x+4
5
b.
1
y=  x–4
5
c. y = 5x  68
d. y = 5x + 4
Tell whether the lines for each pair of equations are parallel, perpendicular, or neither.
7
____ 32. y =  x – 1
8
32x – 28y = –36
a. parallel
b. perpendicular
c. neither
1
____ 33. y =  x + 10
4
–2x + 8y = 6
a. parallel
b. perpendicular
c. neither
Write the equation of a line that is perpendicular to the given line and that passes through the given
point.
____ 34. 4x – 12y = 2; (10, –1)
a. y = 3x + 29
b.
1
y =  x + 29
3
10
22
x  ; (4, 2)
9
9
a.
9
8
y=
x 
10
5
b.
9
22
y=
x 
10
9
c. y = 3x + 29
d.
1
y=  x+7
3
____ 35. y = 
c.
9
8
x 
10
5
d.
9
22
y=  x 
10
9
y= 
What type of relationship does the scatter plot show?
____ 36.
20
y
16
12
8
4
2
4
6
8
x
a. positive correlation
b. negative correlation
c. no correlation
____ 37. The scatter plot below shows the height of a tree over time. What is the approximate height of the tree after 10
years?
y Height of Tree Over Time
height (ft)
20
15
10
5
2
4
6
8
10 12 14
time (yr)
x
a. 13 ft
b. 20 ft
c. 17 ft
d. 21 ft
____ 38.
a.
b.
c.
d.
Practice (hours)
1
2
3
4
5
6
Typing Speed (words per minute)
21
26
35
37
40
?
y = 5.1x + 17; r = 0.971; about 47 words per minute
y = 17.1x + 4.9; r = 0.791; about 142 words per minute
y = 4.9x + 17.1; r = 0.971; about 47 words per minute
y = 4.6x + 16; r = 0.902; about 53 words per minute
Short Answer
The table shows the relationship between the number of sports teams a person belongs to and the
amount of free time the person has per week.
Number of Sports
Teams
0
1
2
3
Free Time
(hours)
46
39
32
25
39. Describe the above relationship using words. What is the equation for this relationship?
40. Find the range of
for the domain {–1, 3, 7, 9}.
Unit 4 Review Problems Algebra 1
Answer Section
MULTIPLE CHOICE
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4-1 Using Graphs to Relate Two Quantities
4-1.1 To represent mathematical relationships using graphs
PA M11.D.3.1.2| PA M11.D.4.1.1 TOP: 4-1 Problem 2 Matching a Table and a Graph
DOK 2
A
PTS: 1
DIF: L3
REF: 4-2 Patterns and Linear Functions
4-2.1 To identify and represent patterns that describe linear functions
A.1.a| A.1.b| A.1.e| A.1.h
STA: PA M11.D.1.1.1| PA M11.D.3.1.2
4-2 Problem 2 Representing a Linear Function
dependent variable | independent variable | function | linear function
DOK 2
B
PTS: 1
DIF: L3
REF: 4-2 Patterns and Linear Functions
4-2.1 To identify and represent patterns that describe linear functions
A.1.a| A.1.b| A.1.e| A.1.h
STA: PA M11.D.1.1.1| PA M11.D.3.1.2
4-2 Problem 2 Representing a Linear Function
dependent variable | independent variable | function | linear function
DOK 2
C
PTS: 1
DIF: L4
4-3 Patterns and Nonlinear Functions
4-3.1 To identify and represent patterns that describe nonlinear functions
A.1.a| A.1.e STA: PA M11.D.1.1.1| PA M11.D.3.1.2
4-3 Problem 3 Writing a Rule to Describe a Nonlinear Function
nonlinear function
DOK: DOK 2
B
PTS: 1
DIF: L2
REF: 4-4 Graphing a Function Rule
4-4.1 To graph equations that represent functions
NAT: A.1.b
PA M11.D.3.1.2
TOP: 4-4 Problem 1 Graphing a Function Rule
continuous graph
DOK: DOK 2
A
PTS: 1
DIF: L3
REF: 4-4 Graphing a Function Rule
4-4.1 To graph equations that represent functions
NAT: A.1.b
PA M11.D.3.1.2
TOP: 4-4 Problem 2 Graphing a Real-World Function Rule
continuous graph
DOK: DOK 2
D
PTS: 1
DIF: L3
REF: 4-5 Writing a Function Rule
4-5.1 To write equations that represent functions
NAT: A.1.b
PA M11.D.3.1.2
TOP: 4-5 Problem 1 Writing a Function Rule
DOK 1
D
PTS: 1
DIF: L2
REF: 4-5 Writing a Function Rule
4-5.1 To write equations that represent functions
NAT: A.1.b
PA M11.D.3.1.2
TOP: 4-5 Problem 2 Writing and Evaluating a Function Rule
DOK 2
A
PTS: 1
DIF: L3
REF: 4-7 Sequences and Functions
4-7.2 To represent arithmetic sequences using function notation
A.1.b
TOP: 4-7 Problem 3 Writing a Rule for an Arithmetic Sequence
sequence | term of a sequence | arithmetic sequence | common difference
DOK 2
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REF: 5-1 Rate of Change and Slope
5-1.1 To find rates of change from tables
NAT: A.2.a| A.2.b
PA M11.D.2.1.2| PA M11.D.3.1.1| PA M11.D.3.1.2| PA M11.D.3.2.1| PA M11.D.3.2.3
5-1 Problem 1 Finding Rate of Change Using a Table
KEY: rate of change
DOK 1
B
PTS: 1
DIF: L3
REF: 5-1 Rate of Change and Slope
5-1.2 To find slope
NAT: A.2.a| A.2.b
PA M11.D.2.1.2| PA M11.D.3.1.1| PA M11.D.3.1.2| PA M11.D.3.2.1| PA M11.D.3.2.3
5-1 Problem 2 Finding Slope Using a Graph
KEY: slope
DOK 1
A
PTS: 1
DIF: L3
REF: 5-1 Rate of Change and Slope
5-1.2 To find slope
NAT: A.2.a| A.2.b
PA M11.D.2.1.2| PA M11.D.3.1.1| PA M11.D.3.1.2| PA M11.D.3.2.1| PA M11.D.3.2.3
5-1 Problem 3 Finding Slope Using Points
KEY: slope
DOK 1
B
PTS: 1
DIF: L2
REF: 5-3 Slope-Intercept Form
5-3.1 To write linear equations using slope-intercept form
A.2.a| A.2.b STA: PA M11.D.2.1.2| PA M11.D.3.2.2| PA M11.D.3.2.3
5-3 Problem 1 Identifying Slope and y-intercept
linear equation | y-intercept | slope-intercept form
DOK: DOK 1
D
PTS: 1
DIF: L3
REF: 5-3 Slope-Intercept Form
5-3.1 To write linear equations using slope-intercept form
A.2.a| A.2.b STA: PA M11.D.2.1.2| PA M11.D.3.2.2| PA M11.D.3.2.3
5-3 Problem 1 Identifying Slope and y-intercept
linear equation | y-intercept | slope-intercept form
DOK: DOK 1
C
PTS: 1
DIF: L3
REF: 5-3 Slope-Intercept Form
5-3.2 To graph linear equations in slope-intercept form
NAT: A.2.a| A.2.b
PA M11.D.2.1.2| PA M11.D.3.2.2| PA M11.D.3.2.3
5-3 Problem 3 Writing an Equation From a Graph
slope-intercept form | linear equation | y-intercept
DOK: DOK 1
D
PTS: 1
DIF: L2
REF: 5-3 Slope-Intercept Form
5-3.1 To write linear equations using slope-intercept form
A.2.a| A.2.b STA: PA M11.D.2.1.2| PA M11.D.3.2.2| PA M11.D.3.2.3
5-3 Problem 4 Writing an Equation From Two Points
linear equation | y-intercept | slope-intercept form
DOK: DOK 1
D
PTS: 1
DIF: L3
REF: 5-3 Slope-Intercept Form
5-3.1 To write linear equations using slope-intercept form
A.2.a| A.2.b STA: PA M11.D.2.1.2| PA M11.D.3.2.2| PA M11.D.3.2.3
5-3 Problem 4 Writing an Equation From Two Points
linear equation | y-intercept | slope-intercept form
DOK: DOK 1
A
PTS: 1
DIF: L3
REF: 5-3 Slope-Intercept Form
5-3.2 To graph linear equations in slope-intercept form
NAT: A.2.a| A.2.b
PA M11.D.2.1.2| PA M11.D.3.2.2| PA M11.D.3.2.3
TOP: 5-3 Problem 6 Modeling a Function
linear equation | y-intercept | slope-intercept form
DOK: DOK 2
B
PTS: 1
DIF: L2
REF: 5-4 Point-Slope Form
5-4.1 To write and graph linear equations using point-slope form
A.2.a| A.2.b STA: PA M11.D.2.1.2| PA M11.D.3.2.2| PA M11.D.3.2.3
5-4 Problem 1 Writing an Equation in Point-Slope Form KEY: point-slope form
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5-4 Point-Slope Form
5-4.1 To write and graph linear equations using point-slope form
A.2.a| A.2.b STA: PA M11.D.2.1.2| PA M11.D.3.2.2| PA M11.D.3.2.3
5-4 Problem 1 Writing an Equation in Point-Slope Form KEY: point-slope form
DOK 1
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PTS: 1
DIF: L3
REF: 5-4 Point-Slope Form
5-4.1 To write and graph linear equations using point-slope form
A.2.a| A.2.b STA: PA M11.D.2.1.2| PA M11.D.3.2.2| PA M11.D.3.2.3
5-4 Problem 1 Writing an Equation in Point-Slope Form KEY: point-slope form
DOK 1
A
PTS: 1
DIF: L3
REF: 5-4 Point-Slope Form
5-4.1 To write and graph linear equations using point-slope form
A.2.a| A.2.b STA: PA M11.D.2.1.2| PA M11.D.3.2.2| PA M11.D.3.2.3
5-4 Problem 2 Graphing Using Point-Slope Form
KEY: point-slope form
DOK 1
B
PTS: 1
DIF: L3
REF: 5-4 Point-Slope Form
5-4.1 To write and graph linear equations using point-slope form
A.2.a| A.2.b STA: PA M11.D.2.1.2| PA M11.D.3.2.2| PA M11.D.3.2.3
5-4 Problem 2 Graphing Using Point-Slope Form
KEY: point-slope form
DOK 1
A
PTS: 1
DIF: L3
REF: 5-4 Point-Slope Form
5-4.1 To write and graph linear equations using point-slope form
A.2.a| A.2.b STA: PA M11.D.2.1.2| PA M11.D.3.2.2| PA M11.D.3.2.3
5-4 Problem 3 Using Two Points to Write an Equation
KEY: point-slope form
DOK 1
A
PTS: 1
DIF: L3
REF: 5-4 Point-Slope Form
5-4.1 To write and graph linear equations using point-slope form
A.2.a| A.2.b STA: PA M11.D.2.1.2| PA M11.D.3.2.2| PA M11.D.3.2.3
5-4 Problem 3 Using Two Points to Write an Equation
KEY: point-slope form
DOK 1
B
PTS: 1
DIF: L3
REF: 5-4 Point-Slope Form
5-4.1 To write and graph linear equations using point-slope form
A.2.a| A.2.b STA: PA M11.D.2.1.2| PA M11.D.3.2.2| PA M11.D.3.2.3
5-4 Problem 4 Using a Table to Write an Equation
KEY: point-slope form
DOK 2
A
PTS: 1
DIF: L3
REF: 5-5 Standard Form
5-5.1 To graph linear equations using intercepts
NAT: A.2.a| A.2.b
PA M11.D.2.1.2| PA M11.D.3.2.2| PA M11.D.3.2.3
5-5 Problem 1 Finding x- and y-intercepts
x-intercept | standard form of a linear equation
DOK: DOK 1
A
PTS: 1
DIF: L3
REF: 5-5 Standard Form
5-5.2 To write linear equations in standard form
NAT: A.2.a| A.2.b
PA M11.D.2.1.2| PA M11.D.3.2.2| PA M11.D.3.2.3
5-5 Problem 4 Transforming to Standard Form
KEY: standard form of a linear equation
DOK 1
C
PTS: 1
DIF: L3
REF: 5-5 Standard Form
5-5.2 To write linear equations in standard form
NAT: A.2.a| A.2.b
PA M11.D.2.1.2| PA M11.D.3.2.2| PA M11.D.3.2.3
5-5 Problem 5 Using Standard Form as a Model
KEY: standard form of a linear equation
DOK 2
30. ANS:
OBJ:
STA:
TOP:
DOK:
31. ANS:
REF:
OBJ:
NAT:
TOP:
DOK:
32. ANS:
REF:
OBJ:
TOP:
DOK:
33. ANS:
REF:
OBJ:
TOP:
DOK:
34. ANS:
REF:
OBJ:
NAT:
TOP:
KEY:
35. ANS:
REF:
OBJ:
NAT:
TOP:
KEY:
36. ANS:
OBJ:
NAT:
STA:
TOP:
KEY:
37. ANS:
OBJ:
NAT:
STA:
TOP:
DOK:
38. ANS:
OBJ:
NAT:
STA:
TOP:
C
PTS: 1
DIF: L3
REF: 5-5 Standard Form
5-5.2 To write linear equations in standard form
NAT: A.2.a| A.2.b
PA M11.D.2.1.2| PA M11.D.3.2.2| PA M11.D.3.2.3
5-5 Problem 5 Using Standard Form as a Model
KEY: standard form of a linear equation
DOK 2
D
PTS: 1
DIF: L2
5-6 Parallel and Perpendicular Lines
5-6.2 To write equations of parallel lines and perpendicular lines
A.2.a| A.2.b STA: PA M11.C.3.1.2| PA M11.D.2.1.2
5-6 Problem 1 Writing an Equation of a Parallel Line
KEY: parallel lines
DOK 1
B
PTS: 1
DIF: L3
5-6 Parallel and Perpendicular Lines
5-6.1 To determine whether lines are parallel, perpendicular, or neither
5-6 Problem 2 Classifying Lines
KEY: perpendicular lines | parallel lines
DOK 1
C
PTS: 1
DIF: L3
5-6 Parallel and Perpendicular Lines
5-6.1 To determine whether lines are parallel, perpendicular, or neither
5-6 Problem 2 Classifying Lines
KEY: perpendicular lines | parallel lines
DOK 1
C
PTS: 1
DIF: L3
5-6 Parallel and Perpendicular Lines
5-6.2 To write equations of parallel lines and perpendicular lines
A.2.a| A.2.b STA: PA M11.C.3.1.2| PA M11.D.2.1.2
5-6 Problem 3 Writing an Equation of a Perpendicular Line
perpendicular lines
DOK: DOK 1
A
PTS: 1
DIF: L4
5-6 Parallel and Perpendicular Lines
5-6.2 To write equations of parallel lines and perpendicular lines
A.2.a| A.2.b STA: PA M11.C.3.1.2| PA M11.D.2.1.2
5-6 Problem 3 Writing an Equation of a Perpendicular Line
perpendicular lines
DOK: DOK 1
A
PTS: 1
DIF: L3
REF: 5-7 Scatter Plots and Trend Lines
5-7.1 To write an equation of a trend line and of a line of best fit
D.1.c| D.2.e| D.5.d| A.2.a| A.2.b
PA M11.D.2.1.2| PA M11.E.1.1.1| PA M11.E.1.1.2| PA M11.E.4.2.1| PA M11.E.4.2.2
5-7 Problem 1 Making a Scatter Plot and Describing Its Correlation
scatter plot
DOK: DOK 2
C
PTS: 1
DIF: L3
REF: 5-7 Scatter Plots and Trend Lines
5-7.2 To use a trend line and a line of best fit to make predictions
D.1.c| D.2.e| D.5.d| A.2.a| A.2.b
PA M11.D.2.1.2| PA M11.E.1.1.1| PA M11.E.1.1.2| PA M11.E.4.2.1| PA M11.E.4.2.2
5-7 Problem 2 Writing an Equation of a Trend Line
KEY: scatter plot | trend line
DOK 2
C
PTS: 1
DIF: L4
REF: 5-7 Scatter Plots and Trend Lines
5-7.2 To use a trend line and a line of best fit to make predictions
D.1.c| D.2.e| D.5.d| A.2.a| A.2.b
PA M11.D.2.1.2| PA M11.E.1.1.1| PA M11.E.1.1.2| PA M11.E.4.2.1| PA M11.E.4.2.2
5-7 Problem 3 Finding the Line of Best Fit
KEY: scatter plot | trend line | line of best fit | correlation coefficient
DOK: DOK 2
SHORT ANSWER
39. ANS:
For every sports team the person joins, he or she spends 7 hours per week practicing. So, the amount of free
time the person has, F, is the amount of free time they would have if they did not belong to any sports teams
minus 7 times the number of teams they belong to. In equation form this is
.
PTS: 1
DIF: L3
REF: 4-2 Patterns and Linear Functions
OBJ: 4-2.1 To identify and represent patterns that describe linear functions
NAT: A.1.a| A.1.b| A.1.e| A.1.h
STA: PA M11.D.1.1.1| PA M11.D.3.1.2
TOP: 4-2 Problem 2 Representing a Linear Function
KEY: dependent variable | independent variable | function | linear function
DOK: DOK 2
40. ANS:
{8, 0, –8, –12}
PTS:
OBJ:
NAT:
TOP:
DOK:
1
DIF: L3
REF: 4-6 Formalizing Relations and Functions
4-6.2 To find domain and range and use function notation
N.2.c| A.1.b| A.1.g| A.1.i| A.3.f
STA: PA M11.D.1.1.2| PA M11.D.1.1.3| PA M11.D.3.1.2
4-6 Problem 4 Finding the Range of a Function
KEY: domain | range | function notation
DOK 1