name date period 4 chapter 4 test, form 2a · pdf file4 chapter 4 test, form 2a ... the...

NAME DATE

4 Chapter 4 Test, Form 2A PERIOD

Write the letter for the correct ariswer in the blank at the right of 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 y - i n t e r c e p t o f — 8 ? A y = -8x + 5 B y = 8x-5 C 5x - y = - 8 D y = 5 x - 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 ? F 2 j - a ; = 1 0 H 2x-y = 5 G 2x+y = -5 J 2y+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 p a s s e s t h r o u g h ( 2 , - 5 ) a n d ( 6 , 3 ) ? A y = jx-6

B y=^x

C y = 2 . r + 1 2

D y = 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 -5x + 2 y = 1 5 G -5x -2y = - 1 5

H 2 x - 5 y = 1 5 J -2x + 5 y = 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 y = -3(x + 5) B y - 5 = - 3 x C - 3 : c + y = 5 D y = 5 a ; - 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 G y - - 3 I I - 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 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 : r - 3 y 1 0 . A y = - 4 x - 1 7 B y = 4 x - 1 3 C y = : : - 4 r + 1 3 B y = 4x + 23

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 q? 8

" - I H I 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 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 .

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 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 n 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 y = 4.6x + 5.2 G y = 3x + 1

H y = 5 . 2 x + 4 . 6 J y = 0 . 2 2 j c - 1 . 1 3

11. U s e t h e e q u a t i 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 y e a r . A 5 3 B 6 1 C 6 5 D 7 4

1.

2.

3.

4.

5.

6.

7..

8.

9.

10.

11.

H

H

B

H

B

Chapter 4 57 Glencoe Algebra 1

NAME DATE

4 Chapter 4 Test, Form 2A (continued)

PERIOD

• 9 5 ' 0 0 ' 0 5

F o r Questions 12-14, use the scatter plot shown.

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

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 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 .

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 b e f o r X = 2 0 1 0 ? F 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

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 C o . u s e s t h e e q u a t i o n C — 0 . 4 2 b + 2 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

F o r Questions 16 and 17, use the table shown. Shots on Goal 22 25 28 29 33 Points Scored 5 7 7 S 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 . 5 6 1 G 0 . 2 8 3 H 0 . 6 3 1 J 0 . 7 9 4

12.

13.

14.

15.

16.

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 g o a l u s i n g t h e b e s t - f i t l i n e . A 1 8 B 1 9 C 2 2 D 2 4

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 { ( 8 , 5 ) , ( 6 , 9 ) , ( 3 , - 2 ) , ( 4 , - 1 ) } H { ( - 1 , 4 ) , ( - 2 , 3 ) , ( 9 , 6 ) , ( 5 , 8 ) 1 G { ( - 4 , 1 ) , ( - 3 , 2 ) , ( - 6 , - 9 ) , ( - 8 , - 5 ) } J { ( - 1 , - 2 ) , ( 9 , 5 ) , ( 4 , 3 ) , ( 6 , 8 ) }

19. If fix) = 3x- 4, find f-Hx).

A r'(x) = 4x~3 B f-\x) = C f-\x) = D f-\x) =-4 - 3x

17.

18.

19.

20. If fix) = 8 ( 5 x - 2 ) , find f-\x).

F f'Kx) = G f-Kx) = - ^ ^ 4 ^ H f-\x) = ^ ^ ^ ^ J f-'ix) ^ + 16 40 40

20.

B

H

B

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 = — B :

J ?

3


NAME .

5

DATE PERIOD

Chapter 5 Test, Form 2A SCORE

Write the letter for the correct answer in the blank at the right of each question. F o r Questions 1-6, solve each inequality.

1 . - 5 1 < : c + 3 8 A {x\x< - 1 3 } B { x I X < 8 9 } C {x\x> - 8 9 } D {x\x> - 1 3 } 1 .

m 1 2

F = . m 7 ' m > - G m m < 1} H m m m >

3. t > 4 - 2

A i ^ < - 8 }

4. - 3 . 5 2 < 4 2 F {2 I 2 > 1 2 }

5. 4 u ; - 6 > 6«; - 2 0 A{w\w <7}

B {t\t<-2\

G {2 I 2 < 1 2 }

B {u^ I «; < 2 }

6. 8 r - (5r + 4 ) > - 3 1 F { r I r < - 9 } G { r | r > - 9 }

C {t\t>2)

H {2 I 2 < - 1 2 }

C {w\w < -7]

H { r | r > 9 }

D U U > - 8 }

J {2 I 2 > - 1 2 }

D ( u ; I «; < - 2 }

J {r\r<9}

7. T h e s u m o f t w o c o n s e c u t i v e i n t e g e r s i s a t m o s t 3 . W h a t i s t h e g r e a t e s t p o s s i b l e v a l u e f o r t h e g r e a t e r i n t e g e r ?

A 5 B l C 3 D 2

8. W h i c h o f t h e f o l l o w i n g i s t h e g r a p h o f t h e s o l u t i o n s e t o f y < - 3 o r y < 1 ? F I I 0 I I 1 0 1 I 11

- 4 - 3 - 2 - 1 0 1 2 3 4

G I (D I I I $ I I I - 4 - 3 - 2 - 1 0 1 2 3 4

H

J

I I I I I CD - 4 - 3 - 2 - 1 0 1 2 3 4

I CD I I I I I I !• - 4 - 3 - 2 - 1 0 1 2 3 4

9. W h i c h c o m p o u n d i n e q u a l i t y h a s t h e s o l u t i o n s e t s h o w n i n t h e g r a p h ? A - 1 < n < 2 B - 1 < 71 < 2

I I I CD I I 0 - 4 - 3 - 2 - 1 0 1 2 3 4

C « > - 1 o r n < 2 D -l<n<2

10. W h i c h o f t h e f o l l o w i n g i s t h e s o l u t i o n s e t o f - 4 < 3 ? + 5 < 2 0 ? F {t\-3<t<5} K {t\t< - 3 } G U U < - 3 a n d i < 5} J [t \ < -3 or t > 5]

11. W h i c h o f t h e f o l l o w i n g i s t h e g r a p h o f t h e s o l u t i o n s e t o f ? - 4 > 4 i + 8 o r 3 ^ > 1 4 - 4tl

A

B

I > I I I I I d3 I - 5 - 4 - 3 - 2 - 1 0 1 2 3

• I CD I I I I I » !• - 5 - 4 - 3 - 2 - 1 0 1 2 3

c

D

4 - 4 - I I CD I • - 5 - 4 - 3 - 2 - 1 0 1 2 3

I I I I I ( M * - 5 - 4 - 3 - 2 - 1 0 1 2 3

2.

3.

4.

5.

6.

7.

8.

9.

10.

11.

H


NAME .

5

DATE PERIOD

Chapter 5 Test, Form 2A (continued)

12. W h i c h i n e q u a l i t y c o r r r e s p o n d s t o t h e g r a p h s h o w n ? < I # — I 1 1 1 1—» I >

- 2 - 1 0 1

F I X - 2 i < 3 G U - 2 I > 3

H I jc - 2 I > 3 J | x - 2 I < 3 12.

13. W h i c h o f t h e f o l l o w i n g i s t h e s o l u t i o n s e t o f | 2;c - 3 | > 4 ? A [x\x < - 0 . 5 o r : k > 3 . 5 } C {x | - 0 . 5 <x< 3 . 5 } B{x\x<-lorx>l] D { x I jc < 0 . 5 o r j c > 3 . 5 }

14. P e t e ' s g r a d e o n a t e s t w a s w i t h i n 5 p o i n t s o f h i s c l a s s a v e r a g e o f 9 4 . W h a t i s h i s r a n g e o f g r a d e s o n t h e t e s t ? F < 8 9 o r ^ > 9 9 H ^ > 8 9 org > 9 9 G 8 9 < < 9 9 J £ < 9 9 o r ^ < 8 9

15. W h i c h o r d e r e d p a i r i s p a r t o f t h e s o l u t i o n s e t o f t h e i n e q u a l i t y 1 2 + y < — 3 x ? A ( - 1 6 , 3 ) B ( 1 , 4 ) C ( 4 , - 1 ) D ( 3 , - 1 6 )

13.

14.

15.

16. W h i c h i n e q u a l i t y i s g r a p h e d a t t h e r i g h t ? F y < 2 x + 1

G y > 2a; + 1

H y < | x + 1

J y>\x + l

1 7 . T a k a b o u g h t a n e w c o a t a n d n e w s h o e s . H e s p e n t $ 1 2 2 . W h i c h i n e q u a l i t y r e p r e s e n t s t h i s s i t u a t i o n \JLX r e p r e s e n t s t h e c o s t o f a c o a t a n d y r e p r e s e n t s t h e c o s t o f t h e s h o e s h e b u y s ?

A 1 2 2 < y + X B y < 1 2 2 + X C y - x > 1 2 2 D y < 1 2 2 - x 1 7 .

y

y ( 0 , 1 ) ( 2 , 2 ) — —

0 X

i

16.

H

1 8 . D e t e r m i n e w h i c h o f t h e o r d e r e d p a i r s a r e a p a r t o f t h e s o l u t i o n o f y +• 1 > jc + 3 . F ( 2 , 3 ) G ( - 4 , 0 ) H ( 1 , 2 ) J ( - 3 , 1 ) 1 8 .

1 9 . W h i c h i n e q u a l i t y h a s a s o l u t i o n s e t o f { x | x > - 3 o r x < - 4 } ? A | 2 x + 7 | < 1 C | 2 x + 7 | > - 1 B | 2 x + 7 | > 1 D | 2 x + 7 | > - 1 1 9 .

20. L a u r i e a n d M a y a s o l d a t m o s t $ 5 0 w o r t h o f g e t - w e l l a n d f r i e n d s h i p c a r d s . T h e friendship c a r d s , x, w e r e s o l d f o r $ 2 e a c h a n d t h e g e t - w e l l c a r d s , y , w e r e s o l d f o r $ 1 . 5 0 e a c h . W h i c h p o i n t r e p r e s e n t s a r e a s o n a b l e n u m b e r o f c a r d s s o l d ? F ( 2 0 , 1 0 ) G ( 1 5 , 1 0 ) H ( 1 8 , 2 0 ) J ( 1 0 , 3 0 ) 20.

B

Bonus S o l v e 6 ( | n | - 3 ) - 4 | n | + 5 < 1 1 . B : { " I < n : g 12}


NAME DATE PERIOD

6 Chapter 6 Test, Form 2A SCORE

Write the ietter for the correct answer in the b / a n / r at the right of each question. Use the graph for Questions 1 - 4 . F o r Questions 1 and 2, determine how many solutions exist for each system of equations.

A n o s o l u t i o n B o n e s o l u t i o n C i n f i n i t e l y m a n y s o l u t i o n s D c a n n o t b e d e t e r m i n e d

1 . y = 3 J C + 3 3x-y = 2

2. x + 2y = -1 2 x + 3 y = 0

3. T h e s o l u t i o n t o w h i c h s y s t e m o f e q u a t i o n s h a s a n x v a l u e o f 3 ? F x - l - 2 y = - l G 3x-y = 2 H y = 3 x - t - 3 J 2 x + 3 y = 0

y = 3x + 3 a ; - l - 2 y = - l 2 x + 3 y = 0 x + 2y =-1

1.

2.

3.

B

4 . T l i e s o l u t i o n t o w h i c h s y s t e m o f e q u a t i o n s h a s a y v a l u e o f 0 ? A a ; + 2 y = - l B 3 a ; - y = 2 C y = 3 x + 3 D 2 x + 3 y = 0

y = 3x + 3 x + 2 y = - l 2 x + 3 y = 0 x + 2y =-1 4 .

5. W h e n s o l v i n g t h e s y s t e m o f e q u a t i o n s , w h i c h e x p r e s s i o n c o u l d b e s u b s t i t u t e d f o r X i n t h e s e c o n d e q u a t i o n ?

x + 2y = 15 5x+y = 2 1

F 1 5 - 2 y G 21-5x H 15 - j c 2 1 - 2y 5.

6. I f X = 2 y + 3 a n d 4 x - 5 y = 9 , w h a t i s t h e v a l u e o f y ? A 2 B 1 C - 1 D - 2 6.

7. U s e e l i m i n a t i o n t o s o l v e t h e s y s t e m x + ly = 16 a n d 3x - ly = 4 f o r x. F 3 G 4 H 5 J - 6 7.. H

8. U s e e l i m i n a t i o n t o s o l v e t h e s y s t e m x — 5 y = 2 0 a n d x + 3 y = — 4 f o r x . A 5 B - 3 C 1 0 D - 4 0 8.

9. U s e e l i m i n a t i o n t o s o l v e t h e s y s t e m 8 x — 7 y = 5 a n d 3 x — 5 y = 9 f o r y . F - 2 G 8 H - 3 J - 1 9. H

1 0 . U s e e l i m i n a t i o n t o s o l v e t h e s y s t e m 4 x + 6 y = 1 0 a n d 2 x + 5 y = 1 f o r x . A 11 " 4 C - 2 D

1 1 . T h e s u b s t i t u t i o n m e t h o d s h o u l d b e u s e d t o s o l v e w h i c h s y s t e m o f e q u a t i o n s ? F 4 x - l - 3 y = 6 G 2 x - l - 5 y = l H 6 x + 2 y = l J y = 3 x + 1

5 x - 3 y 2 2 x - 3 y = 4 3 x + 4 y = 7 2 x + 4 y = 5

1 0 .

1 1 .

B


NAME .

6

DATE PERIOD

Chapter 6 Test, Form 2A (continued)

1 2 . U s e s u b s t i t u t i o n t o s o l v e t h e s y s t e m x -¥ 2v = \d 2x f 5 y = 3 . A ( - 1 , 1 ) B ( 1 , - 1 ) C ( - 5 , 3 ) D ( - 1 , - 1 )

F o r Questions 13 and 14, solve the system and find values of y . 1 3 . 3 x - 5 y = - 3 5 F 4 G |- H - 4

2 x - 5 y = - 3 0 J - 4

1 2 .

13.

1 4 . 3 a ; -I- 4 y = - 3 0 2a ; - 5 y = 7 2

A - 6 B 6 - 1 2 D 1 2 14.

15. C o f f e e C a f e m a k e s 9 0 p o u n d s o f c o f F e e t h a t c o s t s $ 6 p e r p o u n d . T h e t y p e s o f c o f f e e u s e d t o m a k e t h i s m i x t u r e c o s t $ 7 p e r p o u n d a n d $ 4 p e r p o u n d . H o w m a n y p o u n d s o f t h e $ 7 - p e r - p o u n d c o f f e e s h o u l d b e u s e d i n t h i s m i x t u r e ? F 3 0 1 b G 4 0 1 b H 5 0 l b J 6 0 1 b 15.

1 6 . Y o u r t e a c h e r i s g i v i n g a t e s t t h a t h a s 5 m o r e f o u r - p o i n t q u e s t i o n s t h a n s i x - p o i n t q u e s t i o n s . T h e t e s t i s w o r t h 1 2 0 p o i n t s . W h i c h s y s t e m r e p r e s e n t s t h i s i n f o r m a t i o n ? A x - f 5 = y B j c + y = 5 C x - y = 5 D x - y = 5

4a; + 6 y = 1 2 0 & c - l - 4 y = 1 2 0 6a ; + 4 y = 1 2 0 4 a ; - t - 6 y = 1 2 0 16.

1 7 . W h a t s y s t e m o f i n e q u a l i t i e s i s r e p r e s e n t e d i n t h e g r a p h ?

F y < - 2 a ; -I- 1

y < y - i G y> -2x + 1

y < l . - l

H y <-2x + l y > l x - l

J y > - 2 a ; + 1 y > l x - l

Bonus W h e r e o n t h e g r a p h o f 2a ; - 6 y = 7 i s t h e a ; - c o o r d i n a t e t w i c e t h e v - c o o r d i n a t e ?

y

I f I.

X X

— -— -

B :

17.

- 7

© o

s.

o a


NAME DATE PERIOD

SCORE 7 Chapter 7 Test, Form 2A

W r i t e t h e l e t t e r f o r 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 a t t h e r i g h t o f e a c h q u e s t i o n .

A 1 . S i m p l i f y ix^r.

A x'' B x " C Sx"' D & c " 1 .

2 . S i m p l i f y { - 2 h k n 4 h ^ k ^ ' r . F 2h^*k"' G -64h^k'' H - 256h"'k'' J 256h'W^ 2. J _

3. S i m p l i f y . A s s u m e t h e d e n o m i n a t o r i s n o t e q u a l t o z e r o .

Biftl c i : ^ D i ^ 3. _ _ D . C' c '

4 . S i m p l i f y ^ ^ . A s s u m e t h e d e n o m i n a t o r i s n o t e q u a l t o z e r o .

F - 9 - G 4 r H 9yi« J 9ra ' '^ 4. J

5. W h i c h m o n o m i a l r e p r e s e n t s t h e n u m b e r o f s q u a r e u n i t s i n t h e a r e a o f a c i r c l e w i t h r a d i u s 4xr^ u n i t s ? A 167rx« B S T T X * C WTXX" D S T O ^ 5. A _

6. E x p r e s . s 4 6 , 1 0 0 , 0 0 0 i n s c i e n t i f i c n o t a t i o n . F 4 . 6 1 X 1 0 ' G 4 . 6 1 x 10« H 4 . 6 1 x 10*^ J 4 . 6 1 x 10« 6.

7. E v a l u a t e ^ ^ 1.4 X 10-' •

A 5 X 1 0 ^ B 5 X 1 0 - ^ " C 5 X 1 0 ^ ' D 5 x 1 0 ' 7 .

8. ATTENDANCE T h e t o t a l a t t e n d a n c e f o r a p r o f e s s i o n a l b a s e b a l l t e a m t h i s s e a s o n w a s 3 . 2 4 x 1 0 " a n d t w o y e a r s a g o w a s 2 . 4 3 x 10**. A b o u t h o w m a n y t i m e s a s l a r g e w a s t h i s s e a s o n ' s a t t e n d s i n c e a s a t t e n d a n c e t w o y e a r s a g o ? F 0 . 8 G 0 . 9 H 1 . 1 J 1 . 3 8.

9. W r i t e l O y ^ i n r a d i c a l f o r m . A B 1 0 % ^ C lOy/TOy D y V l O 9 . B.

1 0 . E v a l u a t e 81^. F 3 G 9 H 2 7 J 2 4 3 1 0 .

1 1 . S o l v e 5 ^ - ' = 1 2 5 . A 2 B 3 C 4 D 5 1 1 .

H


NAME DATE


PERIOD

12. W h i c h i s t h e 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 g e o m e t r i c s e q u e n c e - 4 , 8 , - 1 6 , . . . ? F a„ = - 4 • 2 " - ^ H a„ = - 4 • ( - 2 ) " - ' G a„ = - 2 • { - 4 ) " - > J a„ = - 2 • 4 " 12. H

13. W h i c h e q u a t i o n r e p r e s e n t s e x p o n e n t i a l g r o w t h ? A y = 5 ( 0 . 8 4 r B y = 5 . r C y = 0 . 3 ^ 3 D y = 5 ( 1 . 0 6 ) ' 1 3 .

14. W h i c l i e q u a t i o n c o r r e s p o n d s t o t h e g r a p h s h o w n ? F y = ( 3 ) ^ + 1 H y = 2 ( 3 ^ ) G y = 2 ( 3 ^ + 1 ) J y = ( 2 • 3 ) ' + 1

15. A w e i g h t l i f t e r c a n i n c r e a s e t h e w e i g h t Wix) t h a t s h e c a n l i f t a c c o r d i n g t o W{x) — 3 1 5 ( 1 . 0 5 ) " ^ , w h e r e x r e p r e s e n t s t h e n u m b e r o f t r a i n i n g c y c l e s c o m p l e t e d . H o w m u c h w i l l s h e l i f t a f t e r 4 t r a i n i n g c y c l e s ? A 3 6 5 1 b B 3 8 3 1 b C 3 7 8 1b

14.

D 4 0 2 1 b 15. B

16. BIOLOGY A c e r t a i n f a s t - g r o w i n g b a c t e r i a i n c r e a s e s 6 % p e r m i n u t e . I f t h e r e a r e 1 0 0 b a c t e r i a n o w , a b o u t h o w m a n y w i l l t h e r e b e 1 2 m i n u t e s l a t e r ? F 1 7 2 G 2 0 1 H 4 8 J 1 9 0 16. G_

17. POPULATION A c i t y s p o p u l a t i o n i s a b o u t 9 5 4 , 0 0 0 a n d i s d e c r e a s i n g a t a n a n n u a l r a t e o f 0 . 1 % . P r e d i c t t h e p o p u l a t i o n i n 5 0 y e a r s . A 5 7 7 , 1 7 6 B 9 0 6 , 3 0 0 C 1 , 0 0 2 , 8 8 8 D 9 0 7 , 4 5 0 17. D

18. F i n d t h e t h i r d t e r m o f t h e s e q u e n c e i n w h i c h a , = 7 a n d a„ = - 2 a „ _ , + l l , i f n > 2 . F - 2 3 G - 3 H 5 J 1 7 18. 4^

19. F i n d a n e x p l i c i t f o r m u l a f o r = A a„ = 9 / 1 - 1 3 B a„ = + 9

- 4 , a , = a „ ^ i + 9 , n > 2 . C a„ = 9« - 4 D a = -An + 9 19.

20. F i n d a r e c u r s i v e f o r m u l a f o r t h e a r i t h m e t i c s e q u e n c e 2 4 , 3 2 , 4 0 , 4 8 , . . . . F a i = 24,a„ = 8 a . „ _ i , n > 2 H a , = 2 4 , a „ = | a „ _ „ R > 2

G C i = 2 4 , a„ = |-a„ 1 + 2 0 , > 2 J a , = 2 4 , a„ = a„ , + 8 , n > 2 20.

Bonus S i m p l i f y - 7 3 l - 1 • B : r - 2 x - 2


NAME DATE PERIOD


Write the letter for the correct answer in the blank at the right of each question. 1. W r i t e 4 J C ^ - 6 x + + 3 i n s t a n d a r d f o r m .

A 3 - 6 x + 4 x ' ' + 2x-^ C + 4 J C ^ - 6 x + 3 B + 3 + 2^5 - 6 x D -6x + 4x^ + 3 + 2x^

2 . F i n d {.9f + 4t - 6) - (f - 2t + 4 ) . F + 6 ^ - 1 0 G 8 f ^ + 2 f - 2 H 9^2 + 6 ^ - 2 J 9«2-t-6^-10

3. S i m p l i f y 2 a ^ ( 5 a - 6 ) - 5 a ( a ^ - 3 a + 4 ) - 7 ( a - 5 ) . A + - 2 7 a + 3 5 C 5 a 3 - 2 7 a = + 1 3 a - 3 5 B 5 a ^ - 1 0 a — 7 D n o n e o f t h e s e

4. F a c t o r 2 4 x ^ — 6 6 x y ^ + 5 4 x ' ^ y ^ c o m p l e t e l y . F 2 x y ( 1 2 x - 3 3 y + 2 7 x y ) G 6 x ^ y 2 ( 4 y - l l x + 9 )

H ( 4x2 + 6 y ) ( 6 x - 9y2)

J 6 x y ( 4 x - l l y + 9 x y )

5. E a c h s i d e o f a s q u a r e x v m i t s l o n g i s d e c r e a s e d b y 9 u n i t s . W h i c h e x p r e s s i o n r e p r e s e n t s t h e a r e a o f t h e n e w s q u a r e i n s q u a r e u n i t s ? A x ^ - S l B x 2 - 1 8 x + 1 8

6. S o l v e ( 3 w + 4 ) ( 2 a ; - 7 ) = 0 .

C x ^ - 1 8 x + 8 1 D 2 x - 1 8

3 21 f3 2 H 4 1_ 3' 2

1 3'

7. F a c t o r x ^ - l O x + 9 . A ( x - l ) ( x - 9 ) B (x + l ) ( x - f 9 )

8. F i n d ( 3 y - 4 ) ( 2 y 2 + y - 1 ) . F 6 y 3 - 5 y 2 - 7 y - 4 G 6 y ^ - 7y2 - 7 y + 4

9 . S o l v e y 2 = 1 3 y - 4 2 . A 1 - 6 , - 7 1 B { 6 , 7 }

10. F i n d (40" + h Y . F 1 6 a ^ + i 2 G 1 6 a ' + 8 a ^ 6 + 6^

11. F a c t o r 5 x 2 - 1 3 ^ + 6 . A ( x + 3 ) ( 5 x - 2 ) B ( x - 2 ) ( 5 x - 3 )

C ( x - l ) ( x + 9 ) D ( x + l ) ( x ^ 9 )

H 6 y 3 - 5 y 2 - 7 y + 4

J 6 y 3 - 5y2 + 7 y + 4

C { - 6 , 7 }

H 8 a ^ + fe2 J 4 a - i - I - 8 a ' 6 +

C ( x + 2 ) ( 5 x + 3 ) D ( x - 3 ) ( 5 x + 2 )

D { 6 , - 7 }

4.

5.

8.

10.

11.

H

H

B

B


NAME DATE _ PERIOD

8 Chapter 8 Test. Form 2A (continued)

12. S o l v e 7x^ - 2 0 x ^ 3 .

G 1 - 3 7' ^ H - 1 - 3 } H3 12.

13. F a c t o r 1 2 l r 2 - 6 4 f ^

A ( l l r - I - 8 ^ ) ( l l r - Si^) B ( l l r - S ^ K l l r - 8 f )

C ( l l r + 8 ^ ) ( l l r + 8 0 D p r i m e 13.

14. S o l v e 6 ( n - 1 1 ) = 1 2 + 4 ( 2 n - 3 ) . F - 1 1 G 1 1 H - 3 3 J 3 3 14. H

15. S o l v e o x ^ - 3 x = ( 7 A ; ' + 5 A ; ) - ( 2 A : ' ' ' + 1 6 ) . A 2 B - 2 C 8 D - 8 15.

16. W h i c h b i n o m i a l i s a f a c t o r o f ^x^ + 4 8 x + 9 6 ? F X + 4 G 3 x + 8 H 3 x + 1 6 J fix + 1 6 16.

17. I f t h e a r e a o f a s q u a r e i s m u l t i p l i e d b y n i n e , t h e a r e a b e c o m e s 1 6 s q u a r e i n c h e s . F i n d t h e l e n g t h x o f a s i d e o f t h e s q u a r e . A f i n . B 4 i n . C I i n .

4 D f i n . 17. B

©

18. SOCCER J u h a n k i c k e d a s o c c e r b a l l i n t o t h e a i r w i t h a n i n i t i a l u p w E i r d v e l o c i t y o f 4 0 f e e t p e r s e c o n d . T h e h e i g h t h i n f e e t o f t h e b a l l a b o v e t h e g r o u n d c a n b e m o d e l e d b y / i = - 1 6 ^ ^ + 4 0 ^ , w h e r e t i s t h e t i m e i n s e c o n d s a f t e r J u l i a n k i c k e d t h e b a l l . F i n d t h e t i m e i t t a k e s t h e b a l l t o r e a c h 2 5 f e e t a b o v e t h e g r o u n d . F 2 l s H l i s J i 4 s

19. T h e p r o d u c t o f t w o c o n s e c u t i v e o d d i n t e g e r s i s 1 4 3 . F i n d t h e i r s u m . A - 2 0 o r 2 0 B - 2 8 o r 2 8 C - 2 6 o r 2 6 D - 2 4 o r 2 4

18.

19.

< is.

s % s ±

20. T h e l e n g t h o f a r e c t a n g l e i s t w i c e t h e w i d t h . T h e a r e a i s 7 2 s q u a r e c e n t i m e t e r s . W h a t i s t h e l e n g t h ? F 4 8 c m G 2 4 c m H 1 2 c m J 6 c m 20. H

Bonus F i n d t h e v a l u e o f c t h a t w i l l m a k e 9x2 - I - 3 0 x + c a p e r f e c t s q u a r e t r i n o m i a l . B : 25


NAME

9 DATE PERIOD

Chapter 9 Test, Form 2A SCORE

Write the letter for the correct answer in the blank at the right of each question.

% a E o

o s :

I 2

1. C o n s i d e r t h e e q u a t i o n y = + 5x — 6. D e t e r m i n e w h e t h e r t h e f u n c t i o n h a s a m a x i m u m o r m i n i m u m v a l u e . S t a t e t h e m a x i m u m o f m i n i m u m v a l u e . W h a t a r e t h e d o m a i n a n d r a n g e o f t h e f u n c t i o n ? A m i n . ; { 0 , 0 )

D : { a l l r e a l n u m b e r s } R : { a l l r e a l n u m b e r s }

B m a x . ; ( 0 , 0 ) D : { a l l r e a l n u m b e r s }

R:{y\y<0}

2. W h i c h e q u a t i o n c o r r e s p o n d s t o t h e g r a p h s h o w n ? F y=x^ + lx-12 H y=x^+5x+12 G y = - X - 1 2 J y = + 1 2 x - 1

C m i n . ; ( ~ 2 . 5 , 1 2 . 2 5 ) D : { a l l r e a d n u m b e r s }

R : { 3 ' l y > - 1 2 . 2 5 } D m a x . ; ( 2 . 5 , - 1 2 . 2 5 )

D : X I X < 2 . 5 R ; { a l l r e a l n u m b e r s }

1^ A y i • D f

- 1 2 1

1

1.

2.

3. F i n d t h e e q u a t i o n o f t h e a x i s o f s s m i m e t r y a n d t h e c o o r d i n a t e s o f t h e v e r t e x o f t h e g r a p h o f y = 2x2 - 1 2 x + 6 . A X = - 3 ; ( - 3 , 6 0 ) C x = - 3 ; ( - 3 , 7 8 ) B X = 3 ; ( 3 , - 1 2 ) D x = 3 ; ( 3 , 6 ) 3.

4. F i n d t h e c o o r d i n a t e s o f t h e v e r t e x o f t h e g r a p h o f y = - 2x2 - 8. I d e n t i f y t h e v e r t e x a s a m a x i m u m o r a m i n i m u m . F ( — 2 , - 1 6 ) ; m i n i m u m H ( 2 , — 1 6 ) ; m a x i m u m G ( — 2 , 8 ) : m a x i m u m J ( 0 , — 8 ) ; m a x i m u m 4 .

5. W h a t a r e t h e r o o t ( s ) o f t h e q u a d r a t i c e q u a t i o n w h o s e r e l a t e d f t m c t i o n i s g r a p h e d a t t h e r i g h t ? A 2 C 0 , 4 B 3 D - 4 , 0

6. O n e r o o t o f t h e q u a d r a t i c e q u a t i o n w h o s e r e l a t e d f u n c t i o n i s g r a p h e d l i e s b e t w e e n w h i c h t w o c o n s e c u t i v e i n t e g e r s ? F - 3 a n d - 2 H - 2 a n d - 1 G 2 a n d 3 J 1 a n d 2 6.

7. H o w i s t h e g r a p h o f gix) = x 2 - 3 r e l a t e d t o t h e g r a p h o f fix) — x^? A t r a n s l a t e d d o w n 3 u n i t s C t r a n s l a t e d r i g h t 3 u n i t s B t r a n s l a t e d u p 3 u n i t s D t r a n s l a t e d l e f t 3 u n i t s

8. F i n d t h e v a l u e o f c t h a t m a k e s x ^ - t - l O x + c a p e r f e c t s q u a r e t r i n o m i a l . F - 2 5 G - 5 H 1 0 J 2 5

B

8.


NAME DATE PERIOD


9 . W h a t v a l u e o f c m a k e s Sx'-^ + 24x + c c o n t a i n a p e r f e c t s q u a r e t r i n o m i a l ? A 1 4 4 B 1 6 C 6 4 D 4 8 9 .

1 0 . W h i c h s t e p i s not p e r f o r m e d i n t h e p r o c e s s o f s o l v i n g - 12n - 1 0 = 0 b y c o m p l e t i n g t h e s q u a r e ? F A d d 1 0 t o e a c h s i d e . H F a c t o r n' - 12n - 1 0 = 0 . G A d d 3 6 t o e a c h s i d e . J T a k e t h e s q u a r e r o o t o f e a c h s i d e . 1 0 .

1 1 . W h i c h e q u a t i o n i s e q u i v a l e n t t o 2x^ — 2 4 x — 1 4 = 0 ? A U - 6 ) ^ = 5 0 B U - 3 ) ^ = 1 3 C ( x - 3 ) ^ = 2 0 D ( x - 6 ) ^ = 4 3 1 1 .

1 2 . S t a t e t h e v a l u e o f t h e d i s c r i m i n a n t o f 3x2 ^ gx = 2. F 3 G 4 0 H 8 8 J 1 0 0 1 2 .

Solve each equation by using the Quadratic F o r m u l a . R o u n d to the nearest tenth i f necessary.

1 3 . 4 x * + l l x - 3 = 0 A - 2 . 4 , - 0 . 3

1 4 . y 2 + 8 y = 2 F - 8 . 2 , 0 . 2

B - A 3

G 8 . 2 , - 0 . 2

C 0 . 3 , 2 . 4

H 0 . 3 , 7 . 7

D - 3 , A

1 5 . D e t e r m i n e t h e n u m b e r o f r e a l s o l u t i o n s o f 7x2 _ + 1 2 = 0 . A 2 B i n f i n i t e l y m a n y C n o n e D 1

1 3 .

J - 7 . 7 , - 0 . 3 1 4 .

1 5 .

1 6 . L o o k f o r a p a t t e r n i n t h e t a b l e o f v a l u e s t o d e t e r m i n e w h i c h m o d e l b e s t d e s c r i b e s t h e d a t a .

X 0 1 2 3 y 1 7 49 343 1 6 .

F l i n e a r H e x p o n e n t i a l G q u a d r a t i c

1 7 . W h i c h f u n c t i o n b e s t m o d e l s t h e d a t a i n Q u e s t i o n 1 6 ? A y = 7 x B y = 7x2 C y = 7^

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

D y = 7'^ + l 1 7 .

1 8 . 1 f / " ( x ) = lx + 21, f i n d fil.5). F 0 . 5 G 3 H 3 . 5 J 4 1 8 .

1 9 . W h i c h i s not t r u e a b o u t t h e g r a p h of fix) = 1 3 x + 2 1 ? A T h e r a n g e i n c l u d e s a l l r e a l n u m b e r s . B I t i n c l u d e s t l i e p o i n t ( - 3 , 7 ) . C T h e d o m a i n i n c l u d e s a l l r e a l n u m b e r s . D T h e g r a p h i s " V - s h a p e d . "

^x + 2 i f X < 1 2 0 . W h i c h p o i n t i s l o c a t e d o n t h e g r a p h o f fix) =

1 9 .

F ( - 3 , 1 ) G ( 0 , 1 ) .2

H ( 2 , 0 )

X - t - 1 i f X > 1

J ( 3 , 3 )

Bonus W h a t i s t h e e q u a t i o n o f t h e a x i s o f s y m m e t r y o f a p a r a b o l a i f i t s x - i n t e r c e p t s a r e - 3 a n d 5 ?

H

H

H

B :

2 0 .

X = 1

® 2 3

o 3 i

i 9 3


NAME DATE PERIOD

10 Chapter 10 Test, Form 2A

Write the letter for the correct artswer in the blank at the right of each question.

1. H o w d o e s t h e g r a p h ofy = V c + 3 c o m p a r e t o t h e p a r e n t g r a p h ? A t r a n s l a t e d u p 3 C t r a n s l a t e d r i g h t 3 B t r a n s l a t e d d o w n 3 D t r a n s l a t e d l e f t 3 1 . .

2. W h i c h e x p r e s s i o n h a s a d o m a i n o f { x | x > 2 } ? F y = Vx + 2 G y = Vx-2 H y = yjx + 2 J y = y/x - 2 2 . .

For Questions 3-7, simplify each expression.

3. 5 \ / 3 • 2\ /2r A 7 0 V 3 B 10V63 C 49V3 D 3 0 \ / 7 3..

5.

F G - 1 ^ ^ H f - J - i ^ 4 . . 2 \ / 3 ^ b V l 2

5

A i B i # c V n + V e D M I + ^ S . . 6 6 w , ,

6. \ / l 8 - V 5 4 + 2^/50

F I 3 V 2 - sVe G - 4 V 3 + 4V5 H - 4 V 3 - 4V5 J 8 V 2 - 3V6 6 —

7. ( V l 4 + V 3 ) ( \ / 6 - V?)

A 2V5 " V 2 I ^ 3 ~ \ C \

B \ A 2 i - 4 V 2 D V 2 I + V 2 7..

8. S o l v e V 3 x - 2 + 4 = 8 . F 1 2 G 6 H # J 4 8.

9, S o l v e ^/7a + 3 2 = a + 2 . A - 4 B 7 C - 4 , 7 D - 7 , 4 9 . .

10. A r i g h t t r i a n g l e h a s o n e l e g t h a t i s 7 c e n t i m e t e r s . T h e hj^Dotenuse i s 2 5 c e n t i m e t e r s . F i n d t h e l e n g t h o f t h e o t h e r l e g . F 1 5 c m G V 6 7 4 c m H 2 4 c m c m 1 0 .

1 1 . D e t e r m i n e w h i c h s i d e m e a s u r e s f o r m a r i g h t t r i a n g l e . A 3 , 8 , 1 2 B 5 , 9 , 1 1 C 1 1 , 1 3 , 1 6 D 6 , 8 , 1 0 1 1 . .

1 2 . F i n d m Z B t o t h e n e a r e s t t e n t h i f s i n B = F 0.5° G 18.4° H 19.5° J 70.5° 1 2 . .

B

B

H

H


NAME DATE PERIOD


13. D e t e r m i n e w h i c h s e t o f m e a s u r e s c a n b e t h e l e n g t h s o f t h e s i d e s o f a r i g h t t r i a n g l e . A 3 , 6 , 9 B 1,1, V 2 C 3 , 3 , 4 D 1, 3 , 7 13. ^

14. W h a t i s t h e e q u a t i o n o f t h e g r a p h ? F y = \Jx + 1 - I H 3 ' = v T + T + l G y = V J C - 1 - 1 J y=\/x-l + l

Y

0

15. S i m p U f y 2 ^ . S y y . A 20|y|v7 B 20vy C 20y'y/y D 20y'

14,

15.

16. W h a t i s t h e l e n g t h o f a d i a g o n a l o f a r e c t a n g l e w i t h a l e n g t h o f 9 i n c h e s a n d a w i d t h o f 3 i n c h e s ? F 3 . 5 i n . G 9 . 5 i n . H 1 8 i n . J 9 0 i n . 16 QL

17. D e t e r m i n e w h i c h s i d e m e a s u r e s f o r m a r i g h t t r i a n g l e . A 1 , 2 , 3 B 2 , 3 , 4 C 3 , 4 , 5 D 4 , 5 , 6 17.

18. LADDERS A 1 6 f o o t l a d d e r l e a n s a g a i n s t a w a l l . T h e b a s e o f t h e l a d d e r i s 6 f e e t from w h e r e t h e w a l l m e e t s t h e g r o u n d . H o w f a r u p t h e w a l l d o e s t h e l a d d e r r e a c h ? F 1 4 . 8 ft G 1 2 . 9 ft H 1 4 4 ft J 2 2 0 ft 18.

F o r Questions 19 and 20, the leg opposite to Z A i n a right triangle measures 12 units , a n d the hypotenuse measures 19 units.

19. W h a t i s s i n A ? A ^ ^ 19

B 19 12

C 0 . 7 7 5 D 0 . 8 1 5 19.

20. W h a t i s m Z A ? F 0.01° G 32° H 39° J 51° 20. H

Bonus F i n d t h e l e n g t h o f a d i a g o n a l o f a s q u a r e i f i t s a r e a i s 7 2 s q u a r e m e t e r s . B : 12 m


NAME DATE PERIOD


Write the letter for the correct answer in the blank at the right of each question. I E

1. I d e n t i f y t h e i n v e r s e v a r i a t i o n t h a t i s g r a p h e d . A xy = 30 B xy = - 3 0

C y = -30x D y = 30x

2. I f y v a r i e s i n v e r s e l y a s x a n d y = 0.8 w h e n x= 1.8, find y w h e n x = 4.8.

F 0.1 G 0.3 H 2.13 J 10.8

1.

2.

B

3. S t a t e t h e e x c l u d e d v a l u e ( s ) o f ^ ^" "

A - 4 , 7 B - 4 , 1 , 7

~8k + 16

+ 3n~ 4

C 1

4. S i m p l i f y F k~4 k' - 16

G - 1 H

5. f m d ^, „ .. • — — . Qhh^ 15a

ab 3c

B

6. F i n d 9(y + 2)

y - 2 G

20"^ 5c

y'' - 4 • - 9

y + 2 H

7. F i n d ^ " - ^ Q - - i L ^

nin + 5) n + 4 B (n + 5)(?i - 2)"

(n + 3)^

ife - 4 k + 4

2a 5c

3 ' - 2

w + 5 n + 2

8. I d e n t i f y t h e a s y m p t o t e s o f y = ^ — 1.

F X = 4, y =^ - 1 G X = 0, y = - 1 H x = 0, r = 1

lOx'' + 15x' - 8x - 12 9. F i n d 2x + 3

D - 4 , 1

k + 4 k-4

- 9

D

8 ( y - 2 )

w(n - 5) (n - 2?

J X - - l , y = 0

A 5x2 ^ ^

B 5 x ^ - 4

37 C 5x2 + 5 ^ _

D 5 x ' - 4

13 2 15

2x + 3

10. F i n d ^ ^ + 5 ^ + ^ 3i - 1 3f - 1 • 8 + 2 6i - 2 G 8 + 2

3i - 1 H 8 ^ - 8 3 ^ - 1

m 4t

3.

4.

6.

7.

8.

9.

10.

H

B


NAME DATE


PERIOD

11. F i n d ^ ^ + ^ . x' + 2x - 13 g X - 1 X - i jj - x " + 2x + 19 p

(x-4f x-4 ( jc-4) - - ( x - 4 ) " •

12. F i n d F -A^ ^ G H 6 x - 4 J 12.

x - 5 x - 5 5 2 x - 10

x + 8 x + 8 x + 8

+ 2r - 3 15. S i m p l i f y

13. F m d _ 1 0 ^ _ - ^ 6 & _ _

A - 1 - B l O f - ^ ^ , ^ C ^ D - 1 5 | _ t ^ i 3 . _ D a - 6 -b^ a - b a' - b^

14. W r i t e x + ^ ^ ^ a s a r a t i o n a l e x p r e s s i o n .

„ x^ + 9x + l G 2 X + 1 H 2 £ ± 1 J . £ 1 + ^ 14.__F_

A - l ( r - 1 ) B C i ^ , ^ D 3 ( r + 3 ) 1 5 . B_

16. S o l v e - ^ - - ^ = | . 3x + 1 9x + 3 6

F 3 G H J I 16 F_

17. W h i c h v a l u e i s a n e x t r a n e o u s s o l u t i o n o f — z—~ : r = 1 ? x + 1 x' - 4x-5

A 5 B O C - 1 D 6 17 C_

18 F i n d . 5280 feet _ 1 hour _ 1 minute 1 hour 1 mile 60 minutes 60 seconds

F 4 1 ^ G 6 8 f t / s H 5 2 8 0 m i / m i n J 8 8 ft/s 18 J _ 15 s

19. ART V a n e s a i s s c u l p t i n g s t a t u e s w h i c h r e q u i r e a b o u t — c u b i c f o o t o f c l a y . I f s h e h a s 2 c u b i c y a r d s o f c l a y , h o w m a n y s t a t u e s c a n V a n e s a m a k e ?

A 9 B 2 4 3 C 2 7 D 7 2 9 19

20. PHYSICS T h e f o r m u l a 4 - = 4 - + - J - + - 5 - r e p r e s e n t s t h e t o t a l r e s i s t a n c e JXji jftj 1X2

o f a c i r c u i t . W h a t i s i?, i f J? , , = 2 . 5 o h m s , = 1 0 o h m s , a n d i?, = 5 o h m s ? F 1 7 . 5 o h m s G 2 . 5 o h m s H 1 0 o h m s J 7 o h m s 20. tL

Bonus F i n d t h e v a l u e o f k s o t h a t x + 1 i s a f a c t o r o f 3x3 - 2x2 + X + k. B : ?


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