v i i a p t c i
MP
t 9 I
r u i I I I
I
Write the letter for the correct a n s w e r i n the b l a n k a tthe r i g h t o feach question.
1 . W h e r e d o e s t h e g r a p h o f 3' = — 3 x — 1 8 i n t e r s e c t t h e x - a x i s ?
A
(0,6)
B (0,-6)
C (6,0)
D
(-6,0)
1.
D
2. T i c k e t s t o s e e a m o v i e c o s t $ 5 f o r c h i l d r e n a n d $ 8 f o r a d u l t s .
The equation 5 x + 8 j = 8 0 represents the number o f children
(x) cmd a d u l t s (y) w h o c a n s e e t h e m o v i e w i t h $ 8 0 . I f n o a d u l t s
see t h e m o v i e , h o w m a n y c h i l d r e n c a n s e e t h e m o v i e w i t h $ 8 0 ?
F
6
G 10
H 13
2.
J 16
For Questions 3 - 5 , find the slope of e a c h l i n e described.
3. t h e l i n e t h r o u g h ( 3 , 7 ) a n d ( - 1 , 4 )
A
1
B
11
^
D
11
3.
B
H
4. t h e l i n e t h r o u g h ( - 3 , 2 ) a n d (6, 2 )
H
^ 1
5. a v e r t i c a l l i n e
A
1
B
O
0
C - 1
J
undefined
4.
D
undefined
5.
6. W h i c h g r a p h h a s a s l o p e o f — 3 ?
G
H
6.
7. COMMUNICATION I n 1 9 9 6 , t h e r e w e r e 1 7 1 a r e a c o d e s i n t h e U n i t e d S t a t e s .
I n 2007, there were 215. F i n d the rate o fchange f r o m 1996 t o 2007.
A
i
f
44
B 4
C 4
D - 4
4
For Questions 8 a n d 9, u s e the a r i t h m e t i c sequence 12,15, 18, 2 1 ,
7.
B
8. W h i c h i s a n e q u a t i o n f o r t h e n t h t e r m o f t h e s e q u e n c e ?
F
a = 3 n+ 9
H a = 12n + 3
n
3.
n
G a = 9 ? i + 3
J a = n
8.
+ 3
9. W h a t i s t h e 1 2 t h t e r m i n t h e s e q u e n c e ?
A
38
Chapter 3
B 42
C 45
49
D 48
9.
Glencoe Algebra 1
NAME
PERIOD
DATE
3
Chapter 3 Test, Form 1
(continued)
1 0 . S u p p o s e y v a r i e s d i r e c t l y a s x, a n d y — 26 w h e n x = 8.
F i n d X w h e n y — 65.
F
3.25
G 20
J
H 47
211.25
F o r Questions 1 1 a n d 1 2 , use the g r a p h s h o w n .
y
11. W h i c h l i n e h a s a n j - i n t e r c e p t o f - 2 ?
A
e.
Bp
c
t
D
both ^ a u d i
i
H
G
p
J
i
B
f1
X
0
12. W h i c h l i n e i s t h e g r a p h ofy = 2x + 4?
F
10.
11.
£\
thejc-axis
P
t
12.
13. W h i c h a r i t h m e t i c s e q u e n c e h a s a p r o p o r t i o n a l r e l a t e d f u n c t i o n ?
A
-4,-1,2,...
B 0,-2,-4,...
C 1,2,3,...
D - | , 0,^,. . .
13.
B
14. W r i t e 3' + l = — 2 j c - 3 i n s t a n d a r d f o r m .
F2JC+3' = - 4
G y = -2x
- 4
H
-2x
C
4
- y =^ 4 J x + ^ y =
-2
14.
1 5 . F i n d U i e r o o t o f 5a. - 2 0 - 0 .
A
- 2 0
B O
5
15.
- 1 0 , 5 , - A^ , 44 - . - -
16.
D
16. D e t e r m i n e w h i c h s e q u e n c e i s a n a r i t h m e t i c s e q u e n c e .
F
r
3,6, 12, 24, . . .
i i i -1-
H - 7 , - 3 , 1, 5,. . .
J
5- 7' 9- 1 1 '
1 7 . F i n d t h e n e x t t h r e e t e r m s o f t h e s i r i t h m e t i c s e q u e n c e 5, 9 , 1 3 , 1 7 , .
A
21,23,25
B
21,25,29
C 41,45,49
D
21,41,61
17.
H
B
18. F i n d t h e f u n c t i o n t h a t r e p r e s e n t s t h e r e l a t i o n s h i p .
F
3/ = S x
G 3 ' - = 8 x + 14
H
>' - 14A; + 8
J 3 ' = 14x; + 1 4
X
0
1
2
3
y
14
22
30
38
46
18.
G
19. W h i c h e q u a t i o n i s a l i n e a r e q u a t i o n ?
A
4m2=6
C
B
3 a+ 56 = 3
D
M
\ x y - \ y = ^
a;2 + y = 0
19.
B
20. W r i t e a n e q u a t i o n i n f u n c t i o n n o t a t i o n f o r t h e
relation at t h eright.
F
fix) ^2x
n
G
fix^ = X + 1
J fix) = ~x
f{x)=^\-x
B o n u s G r a p h y = x - 3hy u s i n g t h e x- a n d ^ / - i n t e r c e p t s .
Chapter 3
50
20.
B:
See students' work;
x: 3, y i - 3
Glencoe Algebra 1
DATE
NAME
3
PERIOD
Chapter 3 Test, Form 2A
SCORE
Write the letter for the correct answer in the b l a n k at the right of each question.
1. LANDSCAPING T h e e q u a t i o n 3x + 7y = 1 0 5 r e p r e s e n t s t h e n u m b e r o f
bags o f s a n d x a n d b a g s o f m u l c h y t h a t c a n be b o u g h t w i t h $ 1 0 5 . I f n o
bags of s a n d are bought, h o w m a n y bags of m u l c h can be b o u g h t w i t h $105?
A
35
B
17
C 15
D 10
1-
9.
2. I f (a, — 5 ) i s a s o l u t i o n t o t h e e q u a t i o n 3 a = —2b — 7 , w h a t i s a ?
F
- 1
G O
J 4
H I
3. W h a t i s t h e s l o p e o f t h e l i n e t h r o u g h ( 1 , 9 ) a n d ( - 3 ,
c
-
25
2.
H
16)?
2
25
D
3.
4. W h i c h e q u a t i o n i s not a l i n e a r e q u a t i o n ?
F
- 4 0 + 2u; = 7 G
I =3^
H a; = - 5
J
2
.
3 _ ^
4.
5. W h a t i s t h e s l o p e o f t h e l i n e t h r o u g h ( - 4 , 3 ) a n d ( 5 , 3 ) ?
A O
B undefined
C 9
D
5.
6. I n 2 0 0 5 , t h e r e w e r e 1 2 , 0 0 0 s t u d e n t s a t B e a c o n H i g h . I n 2 0 1 0 , t h e r e w e r e
12,250. W h a t is t h e rate of change i n t h e n u m b e r of students?
F
250/yr
G
50/yr
H
42/yr
J
200/yr
6.
7. W h i c h i s t h e g r a p h o f y = |^x?
B
D
C
X
7.
8. I f y v a r i e s d i r e c t l y a s T a n d y = 3 w h e n .r = 1 0 , find .r w h e n y = 8 ,
80
G
3
12
H
5
15
4
J
none of these
8.
9. DRIVING A d r i v e r ' s d i s t a n c e v a r i e s d i r e c t l y a s t h e a m o u n t o f t i m e t r a v e l e d .
After 6 hours, a driver had traveled 390 miles. H o w far had the driver
traveled after 4 hours?
A
130 miles
B 220 miles
C 260 miles
D 650 miles
9.
For Questions 1 0 a n d 1 1 , use the following information.
The n u m b e r of seats i n each r o w of a theater
f o r m a n a r i t h m e t i c sequence, as s h o w n i n
the table.
Row
1
2
3
4
Number of Seats
8
14
20
26
10. H o w m a n y seats are i n t h e 1 2 t h r o w ?
F
68
G 74
H 96
10.
J 114
1 1 . W h i c h f o r m u l a c a n b e u s e d t o find t h e n u m b e r o f s e a t s i n E i n y g i v e n r o w ?
A a
Chapter 3
= 6^1 + 2
B a = 2 n
+ 6
C a = n + 6
51
D a
5n + 3
11.
Glencoe Algebra 1
NAME
DATE
3
Chapter 3 Test, Form 2A
PERIOD
(continued)
12. F i n d t h e f u n c t i o n t h a t r e p r e s e n t s t h e r e l a t i o n s h i p .
y - 3x- 3
G
J
y = 6x
X
0
1
2
3
4
y
-3
3
9
15
21
12.
H
For Questions 13 a n d 14, u s e the r e l a t i o n s h o w n i n the table.
13. W h i c h e q u a t i o n d e s c r i b e s t h i s r e l a t i o n s h i p ?
A
f\x)^3x
C f{x)=x
B
f\x)=4x-l
D /Tx) = 2 x + 1
+2
14. W h a t i s t h e v a l u e oiy w h e n x = 4 3 ?
F
87
H 49
G
85
J 45
X
y
1
3
2
5
3
7
4
9
5
11
13.
y
15. W h i c h l i n e s h o w n a t t h e r i g h t i s t h e g r a p h o f
X - 23/ = 4 ?
A
I
B
m
14.
i
m
C p
a t
0
16. W h i c h e q u a t i o n h a s a g r a p h t h a t i s a v e r t i c a l l i n e ?
F
2x=y
H 3 x - 2
G
J + 5= 3
J
x-y
15.
P
t
i
k
= 0
16.
=0
H
1 7 . W h a t i s t h e s t a n d a r d f o r m o f j - 7 = - - | (x + 1 ) ?
A
- 2 x + 3y = 2 3
B - 3 x + 2y = n
O
C 2 x + 3y = 1 9
B 3x + 2y = 11 17.
18. D e t e r m i n e w h i c h s e q u e n c e i s not a n a r i t h m e t i c s e q u e n c e .
F
-7,0,7,14,...
H
10,6,2,-2,...
G
0 , i1 , | , . . .
J
2,4,8,16,...
18.
19. W h i c h e q u a t i o n d e s c r i b e s t h e n t h t e r m o f t h e a r i t h m e t i c s e q t i e n c e
7 , 1 0 , 1 3 , 1 6 , . . .?
A a = 3 n
+ 4
B a = 7
+ 3n
C a = - 4 n
+
3 D a = 3 n - 4
19.
20. W r i t e a n e q u a t i o n i n f u n c t i o n n o t a t i o n f o r t h e r e l a t i o n
shown at the right.
F
fix)
= -2x
H
fix)- X -
2
G
/"(x) = 2 x + 2
J
fix)= -X +
20.
2
H
Bonus T h e t a b l e s h o w s t h e s c h e d u l e f o r a t h e m e p a r k r o l l e r coaster.
Run Number
Time
2
1
9:30
A.M.
9:37
4
3
AM.
9:44
A.M.
9:51
A.M.
A t w h a t t i m e w i l l t h e roller coaster m a k e its 1 5 t h r u n ?
Chapter 3
52
B:
11:08
A.M.
Glencoe Algebra 1
DATE
NAME
PERIOD
Chapter 3 Test, Form 2C
SCORE
1. T i c k e t s for a s p a g h e t t i d i n n e r c o s t $ 4 for c l i i l d r e n a n d $ 6
for a d u l t s . T h e e q u a t i o n 4x + 6y =^ 3 6 r e p r e s e n t s t h e
n u m b e r o fchildren x and adults y w h o can eat at t h e
dinner for $36. I f no children are eating a t the dinner,
h o w m a n y adults can eat for $36?
1.
2. I f ( a , 9 ) i s a s o l u t i o n t o t h e e q u a t i o n - 4 a = 6 - 2 1 , w h a t i s a ?
2,
3. F i n d t h e x - i n t e r c e p t ofx — 2y = 9.
3.
4. S o l v e — 3 = — 2 x + 1 b y g r a p h i n g .
4.
rr
x = 2
5. F i n d t h e r o o t o f 9 x - 3 6 = 0 .
5.
For Questions 6 - 8 , find the slope of the l i n e p a s s i n g
through e a c h p a i r of points. I f the slope is undefined,
write
undefined.
6. ( 2 , 5 ) a n d ( 3 , 6 )
6.
7. ( 6 , - 4 ) a n d ( - 3 , 7 )
7.
8. ( - 1 , 3 ) a n d ( 6 , 3 )
8.
9. I n 1 9 7 2 , f e d e r a l v e h i c l e e m i s s i o n s t a n d a r d s a l l o w e d
3.4 h y d r o c a r b o n s released per m i l e d r i v e n . B y 2 0 0 7 , t h e
s t a n d a r d s a l l o w e d o n l y 0.8 h y d r o c a r b o n s per m i l e d r i v e n .
W h a t was the rate o fchange f r o m 1972 t o 2007?
9.
10. I f a s h a r k c a n s w i m 2 7 m i l e s i n 9 h o u r s , h o w m a n y m i l e s
will it s w i m i n 12 hours?
10.
36 mi
For Questions 11 a n d 12, determine whether each equation
is a linear equation. I f so, write the equation i n standard form.
11.
no
ll.xy = 6
12.
12. 2 x + 3 y + 7 = 3
13. G r a p h t h e e q u a t i o n x - 4 y = 2 .
Chapter 3
0
about — 0.07/yr
y e s ; 2x + 3 y = - 4
13.
55
Glencoe Algebra 1
NAME
DATE
3
Chapter 3 Test, Form 2C
PERIOD
(continued)
x= 3
16. D e t e r m i n e w h e t h e r t h e sequence - 1 0 , - 7 , - 4 , - 1 , ... i s a n
a r i t h m e t i c s e q u e n c e . W r i t e y e s o r no. I f s o , s t a t e t h e c o m m o n
difference.
16.
yes; 3
17. F i n d the next three terms of the arithmetic sequence
8 , 1 5 , 2 2 , 2 9 , . . ..
17
36. 43, 50
1 8 . W r i t e a n e q u a t i o n f o r t h e nth t e r m o f t h e s e q u e n c e
1 2 , 5 , - 2 , - 9 , . . ..
i«
an = - 7 n + 19
19.
Sample answer:
f(d) = 0.04d
For Questions 1 9 a n d 20, use the table below that shows
the amount of gasoline a c a r consumes for different
distances d r i v e n .
Distance (ml)
1
2
3
4
5
Gasoline (gal)
0.04
0.08
0.12
0.16
0.20
19. W r i t e a n equation i n function notation for the relationship
between distance and gasoline used.
20. H o w m a n y g a l l o n s w i l l t h e c a r c o n s u m e a f t e r d r i v i n g f o r
150 miles?
20.
Bonus G r a p h x = 3 , y = - 1 , a n d 2 x - 2 y = 0 o n a c o o r d i n a t e p l a n e .
/g _-\
G i v e t h e v e r t i c e s o f t h e figure f o r m e d b y t h e
'
'
three lines.
B:
^ '
Ciiapter 3
56
'
'
Glencoe Algebra 1
NAME
DATE
PERIOD
Chapter 3 Test, Form 3
1. D e t e r m i n e w h e t h e r 3 x - 4 ^ + 7 = 3 y + 1 i s a h n e a r e q u a t i o n .
W r i t e yes o r no. I f s o , w r i t e t h e e q u a t i o n i n s t a n d a r d f o r m .
SCORE
J
yes; 3x - 7y = - (
2. T h e e q u a t i o n 3 0 0 r c + 5 0 y = 6 0 0 r e p r e s e n t s t h e n u m b e r o f
p r e m i u m tickets x a n d the n u m b e r o fdiscount tickets y for
a horse race t h a t can be bought w i t h $600. I f no p r e m i u m
tickets are purchased, h o w m a n y discount tickets can be
purchased w i t h $600?
2.
12
3. K ( a , - 7 ) i s a s o l u t i o n t o t h e e q u a t i o n 5 a - 7 6 = 2 8 , w h a t i s a ?
3.
-4.2
4. F i n d t h e j c - i n t e r c e p t o f 4 x - 5 y = 1 5 .
4.
3.75
5. S o l v e - - f x + 7 = ^ b y g r a p h i n g .
5.
6. F i n d t h e r o o t o f 1 4 c + 5 = 6 1 .
6.
T.Graphf =| - 1 .
7.
5
For Questions 8 a n d 9, find the slope of the l i n e p a s s i n g
through e a c h p a i r of points. I f the slope i s undefined,
write u n d e f i n e d .
8. ( - 8 , 7 ) a n d ( 5 , - 2 )
8.
9. ( 5 , 9 ) a n d ( 5 , - 3 )
9.
13
undefined
10. F i v e y e a r s a g o t h e r e w e r e a p p r o x i m a t e l y 3 5 , 0 0 0 p e o p l e l i v i n g
in Lancaster. N o w the population is 38,452. F i n d t h e rate o f
change i n the population.
10.
690.4/yr
11. I f a n ostrich can r u n 15kilometers i n 15 minutes, h o w
m a n y kilometers can i t r u n i n an hour?
11.
60
Chapter 3
59
Glencoe Algebra 1
NAME
I
DATE
Chapter 3 Test, Form 3
12. G r a p h y =
PERIOD
(continued)
-^x.
12.1
1 3 . F i n d t h e v a l u e o f /- s o t h a t t h e l i n e t l i r o u g h ( - 4 , 3 ) a n d ( r , - 3 )
o
h a s a s l o p e o f —.
13.
-13
3
1 4 . F i n d t h e v a l u e o f r s o t h a t t h e l i n e t h r o u g h (r, 5 ) a n d ( 6 , r )
h a s a slope o f
70
13
14.
8
1 5 . D e t e r m i n e w h e t h e r t h e s e q u e n c e 0 , ^ , 1 , |, . . . i s a n
a r i t h m e t i c sequence. I f i t is, state t h e c o m m o n difference.
1 6 . F i n d t h e v a l u e o f y t h a t m a k e s 9 , 4 , y, - 6 , . . . a n
arithmetic sequence.
15.
K = -1
16.
17. W r i t e a n equation for t h e n t h t e r m o fthe arithmetic
s e q u e n c e - 1 5 , - 1 1 , — 7 , - 3 , . . .. T h e n g r a p h t h e
first
five t e r m s o f t h e s e q u e n c e .
17.
1
tt
n
!)
f
c.
A
Q
-ty-
F o r Questions 1 8 a n d 1 9 , use the table below that shows the
v a l u e of a v e n d i n g m a c h i n e over the first five y e a r s of use.
Number of Years
Value (dollars)
0
1
2
3
2000
1810
1620
1430
1 4
1 1240
1050
18
19. W h e n will the value o fthe vending machine reach 0 ?
19.
20. B r i a n collects baseball cards. H i s f a t h e r gave h i m
to start h i s collection o n his t e n t h b i r t h d a j ^E a c h
B r i a n adds about 1 5 cards t ohis collection. A b o u t
m a n y y e a r s w i l l i t t a k e t o fill h i s c o l l e c t i o n b i n d e r
holds 200 cards?
20.
2 0 cards
year
how
if it
Bonus A g y m m e m b e r s h i p c o s t s $ 2 9 . 9 9 p e r m o n t h . W r i t e a
d i r e c t v a r i a t i o n e q u a t i o n t o find t h e t o t a l c o s t c t o
own a g y m membership f o r y years.
60
}£.-
1 9
a =4n-19
5
18. W r i t e a n equation i n function notation for the relationship
b e t w e e n y e a r s o f u s e t a n d v a l u e v(t).
Chapter 3
in
-1V
B:
= 2000 -
190t
about l O ^ y r s
12 yrs
c = 359.88y
Glencoe Algebra 1
NAME
DATE
4
Write
PERIOD
Chapter 4 Test, Form 2A
t h e l e t t e r for t h e c o r r e c t a n s w e r i n t h e b l a n k at t h e r i g h t of e a c h
question.
1. W h a t i s t h e s l o p e - i n t e r c e p t f o r m o f t h e e q u a t i o n o f a l i n e w i t h a s l o p e o f 5
a n d a y - i n t e r c e p t o f —8?
A 3/ = - 8 x 4 - 5
B j = 8 x - 5
C 5 x - y = - 8
B y = 5x - 8
1.
2. W h i c h e q u a t i o n i s g r a p h e d a t t h e r i g h t ?
F 2 y - x = 1 0
H 2x-y = 5
G 2x+3' = - 5
J 23' + x = - 5
2.
H
3. W h i c h i s a n e q u a t i o n o f t h e l i n e t h a t p a s s e s
t h r o u g h (2, - 5 ) a n d (6, 3)?
C
v=
D
y = 2 x - 9
3.
4. W h a t i s a n e q u a t i o n o f t h e l i n e t h r o u g h ( 0 , — 3 ) w i t h s l o p e —?
o
H 2 x - 5 y =15
F - 5 x + 2y = 1 5
J - 2 x + 5y = 15
G - 5 x — 2y = — 1 5
4.
H
5.
B
B
y ^ i x
2x+12
5. W h i c h i s a n e q u a t i o n o f t h e l i n e w i t h s l o p e - 3 a n d a y - i n t e r c e p t o f 5 ?
A
y = - 3 ( x + 5)
B y - 5= -3x
C -3x +^= 5
D > ' = 5 x - 3
6. What i s t h e e q u a t i o n o f t h e l i n e t h r o u g h ( - 2 , - 3 ) w i t h a s l o p e o f 0 ?
F x
= - 2
G
y
^
-
y
H - 2 x - 3y = U
J
- 3 x + 2y = 0
6.
7. F i n d t h e s l o p e - i n t e r c e p t f o r m o f t h e e q u a t i o n o f t h e l i n e t h a t p a s s e s t h r o u g h
( - 5 , 3 ) a n d i s p a r a l l e l t o 1 2 x - 33- = 1 0 .
A
y^-4x~n
B y = 4x-13
C y = - 4 x + 13
D > ' = 4x + 23
7.
o
8. I f l i n e q h a s a s l o p e o f — w h a t i s t h e s l o p e o f a n j ' l i n e p e r p e n d i c u l a r t o q?
F
-
I
8
G
"
8
i
8
8.
H
9.
B
9 . A l i n e o f fit m i g h t b e d e f i n e d a s
A
B
C
D
a line t h a t connects all the data points.
a l i n e t h a t m i g h t best e s t i m a t e t h e d a t a a n d b eused for predicting values.
a vertical line halfway through the data.
a line t h a t has a slope greater t h a n 1.
10. A s c a t t e r p l o t o f d a t a c o m p a r i n g t h e n u m b e r o f y e a r s s i n c e H o l b r o o k H i g h
School introduced a m a t h club a n d t h e n u m b e r of students participating
c o n t a i n s t h e o r d e r e d p a i r s (3, 19) a n d (8, 42). W h i c h is t h e slope-intercept
f o r m o f a n e q u a t i o n f o r t h e l i n e o f fit?
F
H
y = 4.6x + 5.2
y = 5.2x + 4.6
G
J
y = 3x + 1
y = 0.22x -
10.
1.13
11. U s e t h e e q u a t i o n f r o m Q u e s t i o n 1 0 t o e s t i m a t e t h e n u m b e r o f s t u d e n t s w h o
w i l l be i n t h e m a t h club d u r i n g t h e 1 5 t h year.
A
53
Chapter 4
B 6 1
C 65
57
D 74
XI.
.
Glencoe Algebra 1
NAME
DATE
4
Chapter 4 Test, Form 2A
PERIOD
(continued)
F o r Questions 12-14, u s e the scatter plot s h o w n .
12. W h i c h d a t a a r e s h o w n b y t h e s c a t t e r p l o t ?
F
G
H
J
(1995,
(1995,
(1995,
(1995,
5.5),
5.5),
5.5),
5.5),
(1997,
(2000,
(2000,
(1997,
6.1),
6.1),
6.6),
6.6),
(2004,
(2004,
(2005,
(2005,
7.6)
7.6)
8.0)
8.0)
•
12.
•95 '00
13. W h i c h i s t r u e a b o u t t h e d a t a ?
A T h e slope o fa best-fit line w o u l d b e negative.
B There isa positive correlation.
C T h e r e i s n ocorrelation.
D There isa negative correlation.
'05
13.
B
14. B a s e d o n t h e d a t a i n t h e s c a t t e r p l o t , w h a t w o u l d y o u e x p e c t t h e y - v a l u e t o
be for X = 2010?
F
G
between 7 and 8
higher than 8
H between 5 and 7
J impossible to tell
14.
15. T o c a l c u l a t e t h e c h a r g e f o r a l o a d o f b r i c k s , i n c l u d i n g d e l i v e r y , t h e R e d s t o n e
B r i c k Co. uses t h e e q u a t i o n C = 0.42b + 25, w h e r e C i st h e charge a n d b i s
t h e n u m b e r o f bricks. W h a t i s t h e d e l i v e r y fee p e r load?
A
$42
C $25
B
$67
D I t depends o n the n u m b e r o f bricks
15.
F o r Questions 16 a n d 17, use the table s h o w n .
Shots on Goal
22
25
28
29
33
Points Scored
5
7
7
9
8
©
16. F i n d t h e s l o p e o f t h e b e s t - f i t l i n e .
F
-0.561
G
0.283
H
J
0.631
16.
0.794
17. E s t i m a t e h o w m a n y p o i n t s w o u l d b e s c o r e d i f 8 0 s h o t s w e r e t a k e n o n t h e
goal u s i n g t h e best-fit line.
A
18
B 19
C 22
17.
D 24
a
I
18. F i n d t h e i n v e r s e o f { ( 4 , - 1 ) , ( 3 , - 2 ) , ( 6 , 9 ) , ( 8 , 5 ) } .
F
G
{(8, 5), (6, 9), (3, - 2 ) , (4, - 1 ) }
( ( - 4 , 1 ) , ( - 3 , 2), ( - 6 , - 9 ) , ( - 8 , - 5 ) }
= 3 x- 4,
19. If fix)
A
f-\x)
{ ( - 1 , 4 ) , ( - 2 , 3), (9, 6), (5, 8)}
{ ( - 1 , - 2 ) , (9, 5), (4, 3), (6, 8)}
18.
H
fHx).
B f-Kx)
f-\x)
=
5x + 2
8
G
C
=
f-\x)^
D
f-\x)
= -4-3x
f~\x) =
5 x - 2
8
H
f-\x)
= X - 16
40
19.
/ - H x ) = ^ ^
Bonus W h a t i s t h e y - i n t e r c e p t o f a l i n e t h r o u g h ( 2 , 7 ) a n d
p e r p e n d i c u l a r t o t h e g r a p h o f y = — - j r x -t- 6 ?
Chapter 4
I
±
B
= 8 ( 5 x - 2 ) , find T H x ) .
20. If fix)
F
= 4x-3
find
H
J
58
20..
17
B:
Glencoe Algebra 1
DATE
NAME
PERIOD
Chapter 4 Test, Form 2C
SCORE
1. W r i t e a l i n e a r e q u a t i o n i n s l o p e - i n t e r c e p t form t o m o d e l t h e
situation: A telephone company charges $28.75 per m o n t h
p l u s $ 0 . 1 0 a m i n u t e for l o n g - d i s t a n c e c a l l s .
, y = 0.10x +28.75
2. W r i t e a n e q u a t i o n i n s t a n d a r d form o f t h e l i n e t h a t p a s s e s
t h r o u g h (7, - 3 ) a n d h a s a y - i n t e r c e p t o f 2.
2.
3. W r i t e t h e s l o p e - i n t e r c e p t f o r m o f a n e q u a t i o n f o r t h e l i n e
graphed at the right.
3.
5x - f 7y = 14
y = |x-2
2!]
o
4 . G r a p h t h e l i n e w i t h a y - i n t e r c e p t o f 3 a n d s l o p e — —.
5. W r i t e a n e q u a t i o n i n s l o p e - i n t e r c e p t f o r m f o r t h e l i n e t h a t
passes t h r o u g h ( — 1 , —2) a n d (3, 4).
6. W r i t e a n e q u a t i o n i n s t a n d a r d f o r m f o r t h e l i n e t h a t h a s a n
u n d e f i n e d slope a n d passes t h r o u g h (—6, 4).
7. W r i t e a n e q u a t i o n i n p o i n t - s l o p e f o r m f o r t h e l i n e t h a t h a s
x =
6.
-6
^
y - 8 = l ( x + 2)
8. W r i t e t h e s t a n d s u - d f o r m o f t h e e q u a t i o n y + 4 = — - y - C ^ - D -
a
12xH-7y=-16
9. W r i t e t h e s l o p e - i n t e r c e p t f o r m o f t h e e q u a t i o n
y - 2 = 3(x - 4).
9.
y = 3x-10
s l o p e \d p a s s e s t h r o u g h ( — 2 , 8 ) .
10. W r i t e the slope-intercept f o r m of the equation of the line
p a r a l l e l t o t h e g r a p h o f 2 x + y = 5 t h a t passes t h r o u g h (0, 1).
10.
/ ~
"^ '
11. W r i t e t h e s l o p e - i n t e r c e p t f o r m o f t h e e q u a t i o n o f t h e l i n e
perpendicular to the graph ofy = ~
^ \hat
t h r o u g h (3, - 2 ) .
passes
11.
y=|x-4
12. A s c a t t e r p l o t o f d a t a s h o w i n g t h e p e r c e n t a g e o f t o t a l I n t e r n e t
users w h o visited a n online store on a given day i n December
i n c l u d e s t h e p o i n t s (2008, 2.0) a n d (2010, 4.5). W r i t e t h e
lA —
slope-intercept f o r m of a n equation for t h e line of
fit.
12. ^ ~
Chapter 4
61
1 25x — 2508
'
Glencoe Algebra 1
NAME
4
DATE
Chapter 4 Test, Form 2C
PERIOD
(continued)
For Questions 13-15, u s e the data i n the table.
Time Spent Studying (min)
10
20
30
40
50
Score Received (percent)
53
67
78
87
95
13.
13. M a k e a s c a t t e r p l o t r e l a t i n g t i m e s p e n t s t u d y i n g t o t h e
score received.
14. W r i t e t h e s l o p e - i n t e r c e p t f o r m o f t h e e q u a t i o n f o r a l i n e
o f fit f o r t h e d a t a . U s e y o u r e q u a t i o n t o p r e d i c t a s t u d e n t ' s
score i f t h e s t u d e n t spent 35 m i n u t e s studying.
Seats
1970s
1990s
2000s
23
30
43
52
53
8
60
data points (20, 67) and
14.
( 4 0 , 8 7 ) . y ^ x + 47;82
No, because thie
maximum score is
100%, even for very
large amounts of time
studying.
Tfi.
1950s
80
Sample answer: using
For Questions 16 a n d 17, u s e the d a t a i n the table s h o w i n g
the n u m b e r of congressional seats apportioned to
C a l i f o r n i a e a c h decade.
1940s
S g
10 20 30 40 50
Time Spent Studying
(minutes)
15. I s i t r e a s o n a b l e t o u s e t h e e q u a t i o n t o e s t i m a t e t h e
score received for a n y l e n g t h of t i m e spent studsdng?
Decade
100
y = 0.52X -
983.73
30
17.
S o u r c e : Office of the Clerk, U.S. House of Representatives
16. F i n d a n e q u a t i o n f o r t h e m e d i a n - f i t l i n e .
17. P r e d i c t t h e n u m b e r o f s e a t s a p p o r t i o n e d t o C a l i f o r n i a
in t h e 1930s.
18. G r a p h t h e i n v e r s e o f t h e
function graphed at the right.
y
A
4
19. I f
=~ ~ .
15
find
f Hx).
-iJ
-4
0
4\
19.
f-\x)
=
f-\x)
=
5 - 15x
a
i
13 - 8x
20. W r i t e t h e i n v e r s e o f 6x + 8y ^ 1 3 i n f-\x) n o t a t i o n .
20.
B o n u s I n a c e r t a i n l a k e , a 1 - y e a r - o l d b l u e g i l l fish i s 3 i n c h e s
l o n g , w h i l e a 4 - y e a r - o l d b l u e g i l l fish i s 6 . 6 i n c h e s l o n g .
A s s u m i n g the g r o w t h rate can b eapproximated by a
linear equation, w r i t e a n equation i n slope-intercept
f o r m f o r t h e l e n g t h ^ o f a b l u e g i l l fish i n i n c h e s a f t e r
t years. T h e n use t h e e q u a t i o n t o d e t e r m i n e t h e age o f
a 9-inch bluegill.
B : ^ = 1.2f + 1.8; 6 years
Chapter 4
62
Glencoe Algebra 1
NAME
4
PERIOD
DATE
Chapter 4 Test, Form 3
SCORE
F o r Questions 1-4, w r i t e a n equation i n slope-intercept
form of the line satisfying the given conditions.
1. h a s y - i n t e r c e p t - 8 a n d s l o p e 3
1.
2. h a s s l o p e
2.
a n d passes t h r o u g h (4, —1)
3. p a s s e s t h r o u g h ( - 3 , 7) a n d (2, 4 )
3.
4. i sh o r i z o n t a l a n d passes t h r o u g h ( - 4 , 6 )
4,
5. W r i t e t h e p o i n t - s l o p e f o r m o f a n e q u a t i o n o f t h e h n e t h a t h a s
a slope o f
o
o
5
a n d passes t h r o u g h (2, 1).
y= 3x-8
y= fx-ii
^
5 ^ + 5
y= 6
y-1=-f(x-2)
5
6. W r i t e a n e q u a t i o n i n s t a n d a r d f o r m o f t h e l i n e t h a t p a s s e s
t h r o u g h ( 2 , - 3 ) a n d ( ~ 3 , 7).
6.
2x -H y = 1
7. G r a p h a l i n e t h a t h a s a n x - i n t e r c e p t o f 5 a n d a s l o p e o f -—.
7.
y
8. W r i t e 3/ - f 4 = — ~ ( x — 9 ) i n s t a n d a r d f o r m .
R
2x - h 3y = 6
9.
y ..j. 2 = — — x
3
3
9. W r i t e t h e p o i n t - s l o p e t b r m o i t h e e q u a t i o n t o r t h e l i n e t h a t
h a s x - i n t e r c e p t — 3 a n d y - i n t e r c e p t —2.
F o r Questions 10-13, w r i t e a n equation i n slope-intercept
form of the l i n e satisfying the given conditions.
10. i s p a r a l l e l t o t h e y - a x i s a n d h a s a n x - i n t e r c e p t o f 3
10.
11. i s p e r p e n d i c u l a r t o 4 y = 3 x — 8 a n d p a s s e s
t h r o u g h ( - 1 2 , 7)
11.
12. i s p a r a l l e l t o 3 x — 5 y = 7 a n d p a s s e s t h r o u g h ( 0 , - 6 )
13. i s p e r p e n d i c u l a r t o t h e y - a x i s a n d p a s s e s t h r o u g h (—2, 5)
Chapter 4
65
x= 3
y=-^x-9
12. .
13.
3
y= | x - 6
1
y=5
G / e n c o f ? Algebra
1
NAME
DATE
4
Chapter 4 Test, Form 3
PERIOD
(continued)
F o r Questions 1 4 - 1 6 , u s e the d a t a i n the table.
14. M a k e a scatter plot r e l a t i n g t h e v e r b a l scores a n d t h e
m a t h scores.
14.
500
State Graduation Scores
Year
Verbal Score
1975
490
^
480
%
Math Score
460
£
5
488
460
450
1985
424
466
1995
410
463
2005
420
460
0
400
440
480
Verbal Score
positive; a verbal
score is closely
associated witli the
math score
1 5 . D o e s t h e s c a t t e r p l o t i n Q u e s t i o n 1 4 s h o w a positive, a
negative, o r no correlation! W h a t d o e s t h a t r e l a t i o n s h i p
represent?
15.
16. W r i t e t h e equation for a line of fit. Predict t h e
corresponding m a t h score for a v e r b a l score of 445.
Sample answer: Using
data points (424, 466) and
(460,488); y = 0.6x +211.6;
I g . about 479
17. T h e data i n the table show the n u m b e r o f
congressional seats apportioned to t h e state of N e w
Y o r k each decade.
Decade
Seats
1940s
1960s
1980S
2000s
45
41
34
29
y = -2.67X -I- 45.17;
^ _ about 24 s e a t s
17
18.
o
0
4
F i n d a n equation for t h e median-fit line and predict the
n u m b e r of seats t h a t w i l l b e apportioned to N e w Y o r k i n
the 2020s.
o
o
i
A
S o u r c e : Office of the Clerk, U.S. House of Representatives
18. G r a p h the inverse of the
function graphed at the right.
V
oV
4
i
1
y
n
4
o
1 9 . lif{x)
^ i ^ i ^ i i l - ,
find
4
f
f\x).
f-\x)
19.
12 - 8x
15
a
i
13 + 3x
20. W r i t e t h e i n v e r s e o f 4 x - 1 3 = 2a; + S y inf\x)
notation.
20.
Bonus T h e a r e a o f a c i r c l e v a r i e s d i r e c t l y a s t h e s q u a r e o f t h e
radius. I f the radius is tripled, by w h a t factor w i l l the
area increase?
Chapter 4
66
Glencoe Algebra 1