N A M E D A T E P E R I O D

Chapter 3 Test, Form 1 Write the letter for the correct answer i n the blank at the r i g h t of each question.

1. W h e r e d o e s t h e g r a p h o f v = -3JC - 1 8 i n t e r s e c t t h e . v - a x i s ? A ( 0 , 6 ) B ( 0 , - 6 ) C ( 6 , 0 ) D ( - 6 , 0 )

2. T i c k e t s t o see 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 . T h e e q u a t i o n 5x + 8 v = 8 0 r e p r e s e n t s t h e n u m b e r o f c h i l d r e n (jc) a n d a d u l t s (y) w h o c a n see 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 see t h e m o v i e w i t h $ 8 0 ?

F 6 G I O H 1 3 J 1 6

For Questions 3-5, find the slope of each line described.

3 . t h e l i n e t h r o u g h ( 3 , 7 ) a n d ( - 1 , 4 ) A i

3

4. t h e l i n e t h r o u g h ( - 3 , 2 ) a n d ( 6 , 2 )

5. a v e r t i c a l l i n e A 1 B O

6. W h i c h g r a p h h a s a s l o p e o f - 3 ?

F kyj G H

H O

C - 1

J u n d e f i n e d

D u n d e f i n e d

7 . C O M M U N I C A T I O N 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 . L i 2 0 0 7 , t h e r e w e r e 2 1 5 . F i n d t h e r a t e o f c h a n g e f r o m 1 9 9 6 t o 2 0 0 7 .

A 4 4 B 4 C j D - 4

For Questions 8 and 9 , use the arithmetic sequence 12,15,18, 21,

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 „ = 12« + 3 G a „ = 9 n + 3 J a „ = n + 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 3 8 B 4 2 C 4 5 D 4 8

N A M E D A T E P E R I O D

10. S u p p o s e V v a r i e s d i r e c t l y as x, a n d y = 26 w h e n x = 8. F i n d x w h e n j = 6 5 . F 3 . 2 5 ' G 2 0 H 4 7 J 2 1 1 . 2 5

For Questions 11 and 12, use the graph shown.

11. W h i c h l i n e h a s a n y - i n t e r c e p t o f - 2 ?

Bp D b o t h £ a n d /

12, W h i c h l i n e i s t h e g r a p h o f >> = lx + 4? F I H t h e X - a x i s Gp J f

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 ^ , - l , 2 , . . . B O , - 2 , - 4 , . . . C 1 , 2 , 3 , . . . D - i . 0 . i . . .

14. W r i t e y + \ -2x - 3 i n s t a n d a r d f o r m . F 2 x + >' = - 4 Gy = -2x-4 U-2x-y = 4 J x + i y = - 2

15. F i n d t h e r o o t o f 5 x - 2 0 = 0 . A - 2 0 B O C 4 D 5

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 3 , 6 , 1 2 , 2 4 , . . . H - 7 , - 3 , 1 , 5 , . . . r i i i —

5' 7' 9 ' 11' • • • J - ' 0 , 5 , - | , ^ , .

17. 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 a r i t h m e t i c s e q u e n c e 5 , 9 , 1 3 , 1 7 , A 2 1 , 2 3 , 2 5 8 2 1 , 2 5 , 2 9 C 4 1 , 4 5 , 4 9 D 2 1 , 4 1 , 6 1

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 ; = 8 x H > ' = 1 4 x + 8 G 3 ; = 8 x + 1 4 J j ; = 1 4 x + 1 4 X 0 1 2 3 4

y 14 22 30 38 46

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 4 m ' = 6 B 3 a + 5 6 = 3

c'-xy-'-y-O D x - + v^ = 0

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 a t t h e right. FJ{x) = 2x H / ( x ) = l - x G X x ) = x + l JJ{x) = -x

/(X)

!o

N A M E D A T E P E R I O D

Chapter 3 Test, Form 2A Write the letter for the correct answer i n the blank at the r i g h t of each question.

1. L A N D S C A P I N G T h e e q u a t i o n 3 x + 7_v = 1 0 5 r e p r e s e n t s t h e n u m b e r o f b a g s o f s a n d x a n d b a g s o f m u l c h j t h a t c a n b e b o u g h t w i t h $ 1 0 5 . I f n o b a g s o f s a n d a r e b o u g h t , h o w m a n y b a g s o f m u l c h c a n b e b o u g h t w i t h $ 1 0 5 ?

A 3 5 B 1 7 C 1 5

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 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 , 1 6 ) ? A - I

4 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 + 2 w = 7 H x = - 5

D 1 0

J 4

j 5 + i = 6 X y

5. W h a t i s t h e s l o p e o f t h e h n e t h r o u g h ( - 4 , 3 ) a n d ( 5 , 3 ) ? A O B u n d e f i n e d C 9 D

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 1 2 , 2 5 0 . W h a t i s t h e r a t e o f c h a n g e i n t h e n u m b e r o f s t u d e n t s ? F 2 5 0 / y r G 5 0 / y r H 4 2 / y r J 2 0 0 / y r

7. W h i c h i s t h e g r a p h oiy = -xl B D

8. I f y v a r i e s d i r e c t l y as x a n d y = 3 w h e n x = 1 0 , find x w h e n >> = 8 . F ^

3 J n o n e o f t h e s e

9 . D R I V I N G 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 as t h e a m o u n t o f t i m e t r a v e l e d . A f t e r 6 h o u r s , a d r i v e r h a d t r a v e l e d 3 9 0 m i l e s . H o w f a r h a d t h e d r i v e r t r a v e l e d a f t e r 4 h o u r s ?

A 1 3 0 m i l e s B 2 2 0 m i l e s C 2 6 0 m i l e s D 6 5 0 m i l e s

For Questions 10 and 11, use the following information. T h e n u m b e r o f s ea t s i n e a c h r o w o f a t h e a t e r f o r m a n

Row 1 2 3 4 Number of Seats 8 1 4 2 0 2 6

10. H o w m a n y sea t s a r e i n t h e 1 2 t h r o w ? F 6 8 G 7 4 H 9 6 J 1 1 4

11. 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 sea t s i n a n y g i v e n r o w ? A a „ = 6« + 2 B a n = 2 n + 6 C a^^n + e D a „ = 5« + 3

N A M E D A T E P E R I O D

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 .

F y = x - 3 H v = 6 x - 3 G > ' = 3 . r - 3 X 0 1 2 3 4

-3 3 9 1 5 2 1

J J = 6x

For Questions 13 and 14, use the relation shown in 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 ? Afix) = 3x C/ix) = x + 2 B / x ) = 4 x - 1 D / x ) = 2 x + 1

14. W h a t i s t h e v a l u e o f y w h e n x = 4 3 ? F 8 7 H 4 9 G 8 5 J 4 5

15. W h i c h l i n e s h o w n a t t h e right i s t h e g r a p h ofx-2y = Al A « Qp B m D t

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 2 x = j ' H 3 x - 2 = 0 G > ' + 5 = 3 J x - > ' = 0

X y 1 3 2 5 3 7 4 9 5 1 1

17. W h a t i s t h e s t a n d a r d f o r m o f >• - 7 = - - ( x + 1 ) ? A - 2 x + 3 ; ; = 2 3 B - 3 x + 2 j ; = 1 7 C 2 x + 3 > ' = 1 9 D 3 x + 2 v = l l

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 , 1 4 , . . . H 1 0 , 6 , 2 , - 2 , . . .

J 2 , 4 , 8 , 1 6 , . . . G 0 , 1 . , , 1 , . .

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 u e n c e 7 , 1 0 , 1 3 , 1 6 , . . .? A a„= 3« + 4 B a„ = 7 + 3« C a„ = - 4 n + 3 D a „ = 3«--4

20. W r i t e a n e q u a t i o n i n f i m 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 s h o w n a t t h e right. F / ( x ) = - 2 x H X x ) = x - 2 G / ( x ) = 2 x + 2 J / ( x ) = - x + 2

i > 4

N A M E D A T E P E R I O D

Chapter 3 Test, Form 2C 1. T i c k e t s f o r a s p a g h e t t i d i n n e r c o s t $ 4 f o r c h i l d r e n a n d $ 6 f o r a d u l t s . T h e e q u a t i o n Ax + 6y = 3 6 r e p r e s e n t s t h e n u m b e r

o f c h i l d r e n x a n d a d u l t s y w h o c a n e a t a t t h e d i n n e r f o r $ 3 6 . T f n o c h i l d r e n a r e e a t i n g a t t h e d i n n e r , h o w m a n y a d u l t s c a n e a t f o r $ 3 6 ?

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 -Aa = b-2l, w h a t i s a?

3. F i n d t h e x - i n t e r c e p t o f x - 2 y = 9 .

4. S o l v e - 3 = - 2 x + 1 b y g r a p h i n g .

5. F i n d t h e r o o t o f 9 x - 3 6 = 0 .

For Questions 6 - 8 , find tlie slope of the line passing through each pair of points. If the slope is undefined, write undefined.

6. ( 2 , 5 ) a n d ( 3 , 6 )

7. ( 6 , - ^ ) a n d ( - 3 , 7 )

8. ( - 1 , 3 ) a n d ( 6 , 3 )

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 r e l e a s e d p e r 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 p e r m i l e d r i v e n . W l i a t w a s t h e r a t e o f c h a n g e f r o m 1 9 7 2 t o 2 0 0 7 ?

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 w i l l i t s w i m i n 1 2 h o u r s ?

For Questions 11 and 12, determine whether each equation is a linear equation. If so, write the equation in standard form.

11. x y = 6 12 .2x + 33; + 7 = 3

13. G r a p h t h e e q u a t i o n x - 4 j = 2 .

14. G r a p h > ' = - i x .

15. S o l v e ^ x + ^ = 5 b y g r a p h i n g .

16. 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 - 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 j y e * o r no. I f s o , s t a t e t h e c o m m o n d i f f e r e n c e .

17. 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 a r i t h m e t i c s e q u e n c e 8, 1 5 , 2 2 , 2 9 , . . ..

18. W r i t e 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 1 2 , 5 , - 2 , - 9 , . . ..

N A M E D A T E P E R I O D

For Questions 19 and 20, use the table below that shows the amount of gasoline a car consumes for different distances driven.

Distance (mi) 1 2 3 4 5

Gasoline (gal) 0 . 0 4 0 . 0 8 0 . 1 2 0 . 1 6 0 . 2 0

19. 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 s h i p b e t w e e n d i s t a n c e a n d g a s o l i n e u s e d .

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 1 5 0 m i l e s ?

Bonus G r a p h x = 3 , v = - 1 , a n d 2 x - 2 v = 0 o n a c o o r d i n a t e p l a n e . G i v e t h e v e r t i c e s o f t h e f i g u r e f o r m e d b y t h e t h r e e l i n e s .

Chapter 3 Test, Form 3 1. D e t e r m i n e w h e t h e r 3x-4y + 7 = 3y+ I i s a l i n e a r e q u a t i o n . W r i t e j ^ e s 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 .

2. T h e e q u a t i o n 3 0 0 x + 50>' = 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 t i c k e t s x a n d t h e n u m b e r o f d i s c o u n t t i c k e t s y f o r a h o r s e r a c e t h a t c a n b e b o u g h t w i t h $ 6 0 0 . I f n o p r e m i u m t i c k e t s a r e p u r c h a s e d , h o w m a n y d i s c o u n t t i c k e t s c a n b e p u r c h a s e d w i t h $ 6 0 0 ?

3 . I f {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 5a-lb = 2 8 , w h a t i s a ?

4. F i n d t h e x - i n t e r c e p t o f 4 x - 5 j ' = 1 5 .

5 9

5. S o l v e - - X + 7 = - b y g r a p h i n g .

6. F i n d t h e r o o t o f 1 4 x + 5 = 6 1 .

7 . G r a p h y = ^ - l . For Questions 8 and 9, find the slope of the line passing through each pair of points. If the slope is undefined, write undefined.

8. ( - 8 , 7 ) a n d ( 5 , - 2 )

9. ( 5 , 9) a n d ( 5 , - 3 )

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 i n L a n c a s t e r . N o w t h e p o p u l a t i o n i s 3 8 , 4 5 2 . F i n d t h e r a t e o f c h a n g e i n t h e p o p u l a t i o n .

11. I f a n o s t r i c h c a n r u n 15 k i l o m e t e r s i n 15 m i n u t e s , h o w m a n y k i l o m e t e r s c a n i t r u n i n a n h o u r ?

N A M E D A T E P E R I O D

Chapter 3 Test, Form 3 (continued)

12. Graphy = -^x.

13. 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 ( - 4 , 3 ) a n d {r, - 3 ) h a s a s l o p e o f ^.

14. 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 s l o p e o f -. 8

15. D e t e r m i n e v i^he the 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 s e q u e n c e . I f i t i s , s t a t e t h e c o m m o n d i f f e r e n c e .

16. F i n d t h e v a l u e o f >> t h a t m a k e s 9 , 4 , y, ~ 6 , . . . a n a r i t h m e t i c s e q u e n c e .

17. W r i t e a n e q u a t i o n f o r t h e «th t e r m o f t h e a r i t h m e t i c 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 f i r s t f i v e t e r m s o f t h e s e q u e n c e .

For Questions 18 and 19, use tlie table below that shows the value of a vending machine over the first five years of use.

Number of Years 0 1 2 3 4 5

Value (dollars) 2000 1810 1620 1430 1240 1050

18. 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 s h i p 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 ( ; ) .

19. W h e n w i l l t h e v a l u e o f t h e v e n d i n g m a c h i n e r e a c h 0?

20. B r i a n c o l l e c t s b a s e b a l l c a r d s . H i s f a t h e r g a v e h i m 20 c a r d s t o s t a r t h i s c o l l e c t i o n o n h i s t e n t h b i r t h d a y . E a c h y e a r B r i a n a d d s a b o u t 1 5 c a r d s t o h i s c o l l e c t i o n . A b o u t h o w m a n y y e a r s w i l l i t t a k e t o f i l l h i s c o l l e c t i o n b i n d e r i f i t h o l d s 200 c a r d s ?

N A M E D A T E ^ P E R I O D

Chapter 4 Test, Form 1 W r i t e the letter for the correct answer i n the blank at the right o f each question.

For Questions 1-5, find tiie equation in slope-intercept form that describes each line. 1. a l i n e w i t h s l o p e - 2 a n d _ y - i n t e r c e p t 4

Ay = -2x By^4x-2 C 3 ^ = - 2 x + 4 T)y = 2x-4

2. a l i n e t h r o u g h ( 2 , 4 ) w i t h s l o p e 0 F>' = 2 G x = 2 H . y - 4 J x = 4

3. a l i n e t h r o u g h ( 4 , 2 ) w i t h s l o p e ^

Ay = -^x By^^x-4 C > ' = = 2 r - 1 0 D j = j-«

4. a l i n e t h r o u g l i ( - 1 , 1 ) a n d ( 2 , 3 ) Gy = --x-.- Hy = -x-- Jy 2 5

5. t h e l i n e g r a p h e d a t t h e r i g h t Ay='-x-l Cy-^-x + l

By=lx-\ • ' 2 2

6. I f 5 d e l i s a n d w i c h e s c o s t $ 2 9 . 7 5 , h o w m u c h w i l l 8 s a n d w i c h e s c o s t ? F $ 3 7 . 7 5 G $ 2 9 . 7 5 H $ 4 7 . 6 0 J $ 0 . 1 6

7. W h a t i s t h e s t a n d a r d f o r m Q,iy-% = 2{x + 3 ) ? A 2 x + > ' = 1 4 B > ' = 2 x + 1 4 C 2 x - v = - 1 4 D > ' - 2 x = l l

8. W h i c h i s t h e g r a p h o f 3x - 4 v = 6 ? y

X 0

9 . W h i c h i s 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 f o r t h e l i n e t h a t pa s se s t h r o u g h ( 0 , - 5 ) w i t h s l o p e 2 ? A y = 2 x - 5 B > ' + 5 = 2 x C V - 5 = A : - 2 D > ' = 2(X + 5 )

10. 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 v + 6 = 2 ( x + 2 ) ? F>' = 2 x - 6 G > ' = 2 x - 2 ' H > ' = 2X + 6 J 2 x - j = 6

11. W h e n a r e t w o l i n e s p a r a l l e l ? A w h e n t h e s l o p e s a r e o p p o s i t e B w h e n t h e s l o p e s a r e e q u a l C w h e n t h e s l o p e s a r e p o s i t i v e D w h e n t h e p r o d u c t o f t h e s l o p e s i s - 1

12. 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 a n e q u a t i o n 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 i s p a r a l l e l t o >' = 2A: - 3 . Fy = 2x + 4 G 7 = 0 . 5 x + 4 H v = 2 x + 3 J v = - 0 . 5 x - 4

N A M E D A T E P E R I O D

13. 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 a n e q u a t i o n o f t h e l i n e 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 x - 3>' = 5 a n d p a s s i n g t h r o u g h ( 0 , 6 ) . Ay = ̂ x-2 B 3 ^ = = - 3 A : + 6 Cy = ̂ x + 2 D j = 3 . x - 6

For Questions 14 and 15, use tlie scatter plot shown.

XH o w w o u l d y o u d e s c r i b e t h e r e l a t i o n s h i p b e t w e e n t h e X- a n d j F - v a l u e s i n t h e s c a t t e r p l o t ? ^° * F s t r o n g n e g a t i v e c o r r e l a t i o n * G w e a k n e g a t i v e c o r r e l a t i o n • H w e a k p o s i t i v e c o r r e l a t i o n J s t r o n g p o s i t i v e c o r r e l a t i o n ° 9 0 9 5 ' O O 0 5 l O

1 ^ 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 j y - v a l u e t o b e f o r x = 2 0 2 0 ? g r e a t e r t h a n 8 0 C b e t w e e n 6 5 a n d 5 0

B b e t w e e n 8 0 a n d 6 5 D l e s s t h a n 5 0

16. W h i c h e q u a t i o n h a s a s l o p e o f 2 a n d a j ' - i n t e r c e p t o f - 5 ? ¥y = -5x + 2 Gy = 5x + 2 Hy = 2x + 5 Jy = 2x-5

Chapter 4 Test, Form 2A W r i t e the letter for the correct answer i n the blank at the right o f each 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 j - i n t e r c e p t o f - 8 ? A y = - 8 x + 5 B > ' = 8 x - 5 C 5 x - v = - 8 D > ' = 5 A : - 8

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 ? F2y-x=\Q H 2 x - j = 5 G 2 J C + > ' = - 5 J 2 > ^ + X = - 5

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 passes t h r o u g h ( 2 , - 5 ) a n d ( 6 , 3 ) ?

Ay = ̂ x-6 Cy^2x+\2

B j = i x D j ; = 2 x - 9

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 ^ ? F - 5 x + 2 ; ; = 1 5 H 2 x - 5 > ' = 1 5 G - 5 x - 2 y = - 1 5 J - 2 x + 5 j ; = 1 5

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 > ' = - 3 ( . T + 5 ) B y - 5 = - 3 x C - 3 x + j = 5 D > ' = 5 x - 3

6. W h a t 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 = - 3 H - 2 x - 3 y = 0 J - 3 x + 2 y = 0

7 . F i n d t h e s l o p e - i n t e r c e p t f o n n 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 passes 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 - 3 y = 1 0 . A y = - 4 x - 1 7 B > ' = 4 x - 1 3 C y = - 4 x + 13 D j = 4 x + 2 3

3 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 y l i n e p e r p e n d i c u l a r t o ql

8 F - - G - H - J - -

8 8 3 3

D A T E P E R I O D N A M E j(. A l i n e o f fit m i g h t b e d e f i n e d as ' \ a l i n e t h a t c o n n e c t s a l l t h e d a t a p o i n t s .

B a l i n e t h a t m i g h t b e s t e s t i m a t e t h e d a t a a n d b e u s e d f o r p r e d i c t i n g v a l u e s . C a v e r t i c a l l i n e h a l f w a y t h r o u g h t h e d a t a . D a l i n e t h a t h a s a s l o p e g r e a t e r t h a n 1 .

XA 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 S c h o o l i n t r o d u c e d a m a t h c l u b a n d t h e l u m b e r o f s t u d e n t s p a r t i c i p a t i n g c o n t a i n s t h e o r d e r e d p a i r s ( 3 , 1 9 ) a n d ( 8 , 4 2 ) . W h i c h 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 a n e q u a t i o n f o r t h e l i n e o f fit? F>' = 4 . 6 x + 5 . 2 G 3 ; = 3 x + 1 H y = 5 . 2 x + 4 . 6 J y = 0 . 2 2 x - 1 . 1 3

. U s e t h e e q u a d o n fi-om 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 b e i n t h e m a t h c l u b d u r i n g t h e 1 5 t h ea r .

D 7 4 A 5 3 B 6 1 C 6 5 For Questions 12-14, use the scatter plot shown.

\L 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 ( 1 9 9 5 , 5 . 5 ) , ( 1 9 9 7 , 6 . 1 ) , ( 2 0 0 4 , 7 . 6 )

' 9 5 ' 0 0 ' 0 5

G ( 1 9 9 5 , 5 . 5 ) , ( 2 0 0 0 , 6 . 1 ) , ( 2 0 0 4 , 7 . 6 ) H ( 1 9 9 5 , 5 . 5 ) , ( 2 0 0 0 , 6 . 6 ) , ( 2 0 0 5 , 8 . 0 ) J ( 1 9 9 5 , 5 . 5 ) , ( 1 9 9 7 , 6 . 6 ) , ( 2 0 0 5 , 8 . 0 )

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 s l o p e o f a b e s t - f i t l i n e w o u l d b e n e g a t i v e . B T h e r e i s a p o s i t i v e c o r r e l a t i o n . C T h e r e i s n o c o r r e l a t i o n . D T h e r e i s a n e g a t i v e c o r r e l a t i o n .

\L 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 b e f o r x = 2 0 1 0 ? / T b e t w e e n 7 a n d 8 H b e t w e e n 5 a n d 7

G h i g h e r t h a n 8 J i m p o s s i b l e t o t e l l

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 C o . u s e s t h e e q u a t i o n C = 0 . 4 2 b + Y 5 , w h e r e C i s t h e c h a r g e a n d b i s t h e n u m b e r o f b r i c k s . W h a t i s t h e d e l i v e r y f e e p e r l o a d ? A $ 4 2 C $ 2 5

B $ 6 7 D I t d e p e n d s o n t h e n u m b e r o f b r i c k s

For Questions 16 and 17, use the table shown. Shots on Goal 22 25

28 1 29 33

Points Scored 5 7 7 9 8

. 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 . 5 6 1 G 0 . 2 8 3 H 0 . 6 3 1 J 0 . 7 9 4

. 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 g o a l u s i n g t h e b e s t - f i t l i n e . " A 18 B 1 9 C 2 2 D 2 4

N A M E D A T E P E R I O D

Chapter 4 Test, Form 2C 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 f o r m t o m o d e l t h e s i t u a t i o n :

A t e l e p h o n e c o m p a n y c h a r g e s $ 2 8 . 7 5 p e r m o n t h p l u s $ 0 . 1 0 a m i n u t e f o r l o n g - d i s t a n c e c a l l s .

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 f o r m o f t h e l i n e t h a t pa s se 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 .

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 g r a p h e d a t t h e right.

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 p a s s e s 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 s l o p e a n d p a s s e s t l i 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 s l o p e ^ a n d p a s s e s t h r o u g h ( - 2 , 8 ) .

8. W r i t e t h e s t a n d a r d f o r m o f t h e e q u a t i o n y + 4 = - - 1 ) .

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 ) .

10. 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 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 ) .

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 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 = - - x - 7 t h a t p a s s e s t h r o u g h ( 3 , - 2 ) .

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 u s e r s w h o v i s i t e d a n o n l i n e s t o r e o n a g i v e n d a y i n December i n c l u d e s t h e p o i n t s ( 2 0 0 8 , 2 . 0 ) a n d ( 2 0 1 0 , 4 . 5 ) . 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 o f fit.

For Questions 13-15, use ttie data in the table.

Time Spent Studying (min) 10 20 30 40 50 Score Received (percent) 53 67 78 87 95

^ " l ^ ^ 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 s c o r e r e c e i v e d .

W u 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 c o r e i f t h e s t u d e n t s p e n t 3 5 m i n u t e s s t u d y i n g .

l \ I s i t r e a s o n a b l e t o u se t h e e q u a t i o n t o e s t i m a t e t h e s c o r e r e c e i v e d f o r a n y l e n g t h o f t i m e s p e n t s t u d y i n g ?

N A M E D A T E P E R I O D

Chapter 4 Test, Form 3 For Questions 1-4, write an equation in 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

2 . h a s s l o p e - a n d passes t h r o u g h ( 4 , - 1 )

3. pa s se s t h r o u g h ( - 3 , 7 ) a n d ( 2 , 4 )

4. i s h o r i z o n t a l a n d passes t h r o u g h (-4, 6 )

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 l i n e t h a t h a s a s l o p e o f -1 a n d p a s s e s t h r o u g h ( 2 , 1 ) .

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 pa s se s t h r o u g h ( 2 , - 3 ) a n d ( - 3 , 7 ) .

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 -

8. W r i t e y + 4 = - ^ ( x - 9 ) i n s t a n d a r d f o r m .

9. W r i t e t h e p o i n t - s l o p e f o r m o f t h e e q u a t i o n f 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 .

For Questions 10-13, write an equation in slope-intercept form of the line 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

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 pas se s t h r o u g h ( - 1 2 , 7 )

12. i s p a r a l l e l t o 3 x - 5 y = 7 a n d pas se 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 )

For Questions 14-16, use the data in the table.

Y 4 , , 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 h e v e r b a l s c o r e s a n d t h e m a t h s c o r e s .

State Graduation Scores Year Verbal Score Math Score 1 9 7 5 4 6 0 4 8 8 1 9 8 5 4 2 4 4 6 6 1 9 9 5 4 1 0 4 6 3 2 0 0 5 4 2 0 4 6 0

15v 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 r e p r e s e n t ?

\ ^ ^ i V r i t e t h e e q u a t i o n f o r a l i n e o f f i t . P r e d i c t t h e c o r r e s p o n d i n g m a t h s c o r e f o r a v e r b a l s c o r e o f 4 4 5 .