6 Chapter 6 Test, Form 1 SCORE - · PDF file6 Chapter 6 Test, Form 1 DATE PERIOD ... 2 D4 Chapter 6 51 Glencoe Algebra 1 . NAME DATE PERIOD C ' Chapter 6 Test, Form 1 (continued)

NAME

6 Chapter 6 Test, Form 1 DATE PERIOD

S C O R E

Write t h e l e t t e r for the c o r r e c t a n s w e r in t h e b l a n k a t t h e right of e a c h q u e s t i o n .

Use the graph for Questions 1 - 4 . 1 . T h e o r d e r e d p a i r ( 3 , 2 ) i s t h e s o l u t i o n

o f w h i c h s y s t e m o f e q u a t i o n s ?

A y = -^x + 3 C y =

y = - 3 x + 2 y = •lx-4

B y= ^ + 3 D y = -3x + 2

y = 2x y = 2x-4

F o r Questions 2-4, f ind how many solutions exist for each system of equations.

F n o s o l u t i o n H o n e s o l u t i o n G i n f i n i t e l y m a n y s o l u t i o n s J c a n n o t b e d e t e r m i n e d 2.y = 2x 3. y = 2x 4. y - -3x + 2

y^2x-4 y-2x = 0 y ^ 2x

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 , r = 4 — t 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 3 r + 2t = 1 5 f o r r i n t h e s e c o n d e q u a t i o n ? A 4-t B 4 - r C t-4

6. I f — 2 a n d 3x + y — 5, w h a t i s t h e v a l u e o f 3*? F 0 G - 1 H 1 1 J 1 0

1 .

2.

3.

4.

5.

6.

H

7 . 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 n = 3m — 1 1 o f e q u a t i o n s . 2m + 3 n = 0 A ( - 2 , 3 ) B ( - 3 , 2 ) C ( 3 , - 2 ) D ( 2 , - 3 ) 7 .

X - y = 5 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 o f e q u a t i o n s . x + v - 3 F ( 4 , 1 ) G ( 4 , - 1 ) H ( - 4 , 1 ) J ( - 4 , - 1 )

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 x + 6y = 1 0 o f e q u a t i o n s . x + by = 9 A ( 1 , 4 ) B ( 4 , 1 ) C ( - 1 , - 4 ) D ( - 4 , - 1 )

1 0 . U s e e l i m i n a t i o n t o f m d t h e v a l u e o f x i n 2x + 2y = W t h e s o l u t i o n f o r t h e s y s t e m o f e q u a t i o n s . 2x — 3y = 5 F 1 G 1 0 H 4 J - 2

8 .

9.

1 0 .

B

H

1 1 . T o e l i m i n a t e t h e v a r i a b l e y i n t h e s y s t e m o f e q u a t i o n s , 6x + 4y — 22 m u l t i p l y t h e s e c o n d e q u a t i o n b y w h i c h n u m b e r ? 2x — y — 1 A 3 B 9 C 2 2 D 4 1 1 .

Chapter 6 51 G l e n c o e A l g e b r a 1

NAME DATE PERIOD

C ' Chapter 6 Test, Form 1 (continued)

F o r Questions 1 2 and 1 3 , determine the best method to solve the system of equations.

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

1 2 . 5x-2y = 4 2x + 2y = 8

13. y = 3x + 12 2x+y = 16

1 2 . 1 3 .

B

1 4 . T h e l e n g t h o f a r e c t a n g l e i s t h r e e t i m e s t h e w i d t h . T h e s u m o f t h e l e n g t h a n d t h e w i d t h i s 24 i n c h e s . W h a t i s t h e l e n g t h o f t h e r e c t a n g l e ? F 3 i n c h e s G 6 i n c h e s H 9 i n c h e s J 18 i n c h e s 1 4 .

1 5 . A n a i r p o r t s h u t t l e c o m p a n y o w n s s e d a n s t h a t h a v e a m a x i m u m c a p a c i t y o f 3 p a s s e n g e r s a n d v a n s t h a t h a v e a m a x i m u m c a p a c i t y o f 8 p a s s e n g e r s . T h e i r 12 v e h i c l e s h a v e a c o m b i n e d m a x i m u m c a p a c i t y o f 61 p a s s e n g e r s . H o w m a n y v a n s d o e s t h e c o m p a n y o w n ? A 5 B 8 C 12

F o r Questions 1 6 and 1 7 , use the graph. 1 6 . W h a t i s a s o l u t i o n t o t h e s y s t e m o f i n e q u a l i t i e s ?

A lO, 2 )

B ( 0 , 0 )

C ( 1 , 1 )

D ( 2 , 4 )

D 7 1 5 .

1 6 .

1 7 . What system of inequalities is represented? F y < J c + 2 Gy>x + 2 Ky>x + 2

y < -x + 1 y < - X + 1 y > - X + 1 J y <x + 2

y > - X + 1 1 7 .

Bonus D e t e r m i n e t h e b e s t m e t h o d t o s o l v e x — S^y = 0 t h e s y s t e m o f e q u a t i o n s . T h e n s o l v e 2x - ly - 0 t h e s y s t e m . j^. substitution; (0, 0)

Chapter 6 52 G l e n c o e Algebra 1

NAME DATE PERIOD

7 Chapter 7 Test, Form 1 S C O R E

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 in 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 .

1. S i m p l i f y • y\ A y'' B y« C y'^ D 2y« 1. B

2, S i m p l i f y (b'Y. F b' G ;w H J 3 6 ' 2. H

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 . A a ^ ' B C a' D 1 3.

4 . A r e c t a n g l e h a s a l e n g t h o f 2 5 x " a n d a w i d t h o f 5 x ^ . F i n d t h e a r e a i n s q u a r e u n i t s . F 25x« G 2bx' H 125x« J 125x=^ 4. _ J .

5. 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 .

A m V " " ' B C m V D ^

6. E x p r e s s 0 . 0 0 0 0 2 4 i n s c i e n t i f i c n o t a t i o n . F 2 . 4 X 10 '^ G 0 . 2 4 x l O ' " H 2 . 4 x 1 0 - ^ J 2 . 4 x 1 0 - '

5. _ _ B _

6. J

7 . E v a l u a t e ( 7 x 1 0 S ) ( 2 . 4 x 1 0 A 1 . 6 8 x 1 0 ' B 2 . 9 2 x 1 0 " C 1 . 6 8 X 1 0 - ' D 1 . 6 8 X 1 0 ' 7 . _ C

8. E v a l u a t e 16«. F 2 G 4 H J 3 2 8, _ J i

9. S o l v e 3^ + ^ = 8 1 . A O B 1 C 2 D 3 9. _ J C

10. 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 = 2^ + 2 H y = 2 ' - 2

G y = ( I ) - 2 J y = 1 \2} + 2

1 1 . W h a t i s t h e y - i n t e r c e p t o n t h e g r a p h s h o w n ? 1 B 1 C 0 D - 1

10. H_

11. _ D


NAME DATE

7 " Chapter 7 Test, Form 1 (continued)

PERIOD

12. TOURNAMENTS A c h e s s t o u r n a m e n t s t a r t s w i t h 1 6 p e o p l e c o m p e t i n g . T h e e x p o n e n t i a l f u n c t i o n y - d e s c r i b e s h o w m a n y p e o p l e a r e r e m a i n i n g i n t h e t o u r n a m e n t a f t e r x r o u n d s . H o w m a n y p e o p l e a r e l e f t i n t h e t o u r n a m e n t a f t e r 2 r o u n d s ? F 4 G 2 H 8 J 1 12.

13. INVESTMENTS D e t e r m i n e t h e a m o u n t o f a n i n v e s t m e n t i f $ 1 0 0 0 i s i n v e s t e d a t a n i n t e r e s t r a t e o f 8 % c o m p o u n d e d q u a r t e r l y f o r 2 y e a r s . A $ 1 1 6 0 . 0 0 B $ 1 1 7 1 . 6 6 C $ 1 0 4 0 . 4 0 D $ 1 1 6 6 . 4 0 13. B

14. BIOLOGY I f y = 1 0 ( 2 . 5 ) ' r e p r e s e n t s t h e n u m b e r o f b a c t e r i a i n a c u l t u r e a t t i m e t, h o w m a n y w i l l t h e r e b e a t t i m e i — 6 ? F 2 4 4 1 G 2 4 4 H 2 4 J n o n e 14. F _

15. DEPRECIATION A $ 6 0 , 0 0 0 p i e c e o f m a c h i n e r y d e p r e c i a t e s i n v a l u e a t a r a t e o f 1 1 % p e r y e a r . A b o u t w h a t w i l l i t s v a l u e b e i n 5 y e a r s ? A $ 4 7 , 5 2 6 B $ 4 2 , 2 9 8 C $ 3 3 , 5 0 4 D $ 3 7 , 6 4 5 15. ^

16. W h i c h i s t h e e q u a t i o n f o r t h e rethterm o f t h e g e o m e t r i c s e q u e n c e - 2 , 8 , - 3 2 , . . . ? F a„ = - 2 • 4 " H a„= -2 - 4" ' G a - 4 • ( - 2 ) " J a = - 2 . ( - 4 ) " ^ 16.

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 0^-12 a n d a„ = 5a„ _ , - 1 4 , i f M > 2 . F 1 G 4 6 H 2 1 6 J 1 0 6 6 18.

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 1 8 , 1 2 , 6 , 2 , . . . . F a, = 18,a„ = -6a„__„n> 2 U a, = 18,a„ =^a„^„n> 2

G a i = 1 8 , a„ = a „ „ 1 - 6 , ?i > 2 J = 1 8 , a„ = _ i + 9 , n > 2 20.

J

17. W h a t i s t h e n i 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 3 , 9 , 2 7 , . . . ? A 2 1 8 7 B 6 5 6 1 C 1 9 , 6 8 3 D 5 9 , 0 4 9 17. C

H

1 9 . 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 , = 1 7 , a„ — a , ^ + 4,n > 2. A a„ - 4n + 1 3 C a„ - 4n + 1 7 B a = n + 4 D a„ = 1 7 n + 4 1 9 . A

G

Bonus S i m p l i f y (3 ' '+ i ) (3 '^ ' ' )^ B : 3 ^ " " ^ ^


NAME .

8 Chapter 8 Test, Form 1 DATE PERIOD

S C O R E

Write t t i e l e t t e r for the correct answer in t h e b l a n k a t t h e r i g h t of e a c h q u e s t i o n . 1. F i n d ( 2 a - 5 ) - ( 3 a + 1 ) .

A 5 a + 6 B a - 4 C - a - 6 D - a - 4 1.

2. F i n d 3 m " ( 2 m ' - m). F 5 m * - 3 m ' G 6 m * - 3m' -* H 5 m " - 3 m J 6 m " - 3 m ' ' 2.

3. S i m p l i f y Six' + 2x) - xix - 1 ) . A 4JC2 + X B 2X^ + 7X C 2 x ^ + 3 x D 2x^ + 5x 3. B

4. F i n d (2n - 3 ) ( n + 4 ) . F 3n + 1 G 2 n 2 + 5 n - 1 2

H 2 n - ^ - 1 2 J 2h' + l l n + 1 4.

5. F a c t o r xy + 3x — 2x'^ c o m p l e t e l y . A xiy + 3-2x) B ( 2 x - 3y)(y + jc )

Cx(y + 3) + 2x D y(x + a x - 2x^) 5.

6. S o l v e bib + 1 7 ) = 0 . F 0 ,

17J G { - 1 7 , 0 }

7 . F a c t o r + 13m + 4 2 . A ( m + l ) ( m + 1 3 ) B ( m + 6 ) ( m + 7 )

H { 0 , 1 7 1 J ( 1 7 }

C ( m + 1 0 ) ( m + 3 ) D ( m - 6 ) ( m - 7 )

6.

7. B

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

H 9y2 - 3y + 1 J 9y - 6y - 1

9. T h e a r e a o f a r e c t a n g l e i s iy^ — 8y + 1 5 ) s q u a r e i n c h e 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 a p o s s i b l e l e n g t h f o r t h e r e c t a n g l e ? A (y + 5) B ( y - 2 )

C ( y - 1 5 ) D ( y - 3 )

8.

9.

10. S o l v e 3i2n - 6 ) = - 4 ( n - 3 ) . F 3

l l . S o l v e 2 a ; 2 - 5 ^ - 3 = 0 . A [ - 1 . 3 } B

H 6

U 3^

J 1 .

D

1 0 .

11.


NAME DATE PERIOD

• ' Chapter 8 Test, Form 1 (continued)

12. F a c t o r 4 m ^ - 2 5 . F ( 2 m + 5 ) ( 2 m + 5 ) G ( 2 m + 5 ) ( 2 m - 5 )

H ( 2 m - 5 ) ( 2 m - 5 ) J p r i m e 12. G

1 3 . A s q u a r e c a n b e c h a n g e d i n t o a r e c t a n g l e b y i n c r e a s i n g t h e l e n g t h o f t h e s q u a r e b y 5 u n i t s a n d i n c r e a s i n g t h e w i d t h b y 3 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 r e c t a n g l e i n s q u a r e u n i t s ? A jc^ + 8 x + 1 5 B jc^ + 1 5 C 2x + 8 D 2a ; + 1 5 13.

14. S o l v e 64y° = 2 5 b y f a c t o r i n g . G „ f 8 8 '

{ - l - l l

15. W h i c h o f t h e f o l l o w i n g p o l 3 m o m i a l s s h o w s t h e t e r m s o f + 5x^ — 4 — 2 x a r r a n g e d i n s t a n d a r d f o r m ? A 5x^ - 2 x + X " - 4 C 5 x ^ - 4 - 2a : + X '

B - 4 - 2 x + x'-* 4- 5x-^ D 5 x ' ' + x ^ - 2 x - 4

14.

15.

16. T h e a r e a o f a c i r c l e i s g i v e n b y (-Kk^ - 1 2 T T ^ + 3 6 T T ) s q u a r e i n c h e s . W h a t i s t h e r a d i u s o f t h e c i r c l e ? F ^ + 3 G k + 4 H k-6 J k-12 16. H

17. F i n d ( 2 x - 5 ) ( 2 x + 5 ) . A 4 x B 4 x ^ - 2 5 C 4 x 2 - 2 0 x - 2 5 D 4x^ + 2 5 17. B

1 8 . S o l v e 2 x 2 + 1 2 x = - 1 8 . F { - 3 } G ( 3 ) H { - 3 , 3 } J { - 9 } 18.

19. F i n d t w o d i f f e r e n t i n t e g e r s s u c h t h a t t h e s q u a r e o f t h e i n t e r g e r i s 1 2 l e s s t h a n s e v e n t i m e s t h e i n t e g e r A 3 a n d 4 B - 3 a n d 4 C - 4 a n d 3 D - 3 a n d - 4 19.

20. GEOMETRY T h e l e n g t h o f a r e c t a n g l e i s 5 c e n t i m e t e r s m o r e t h a n t h e w i d t h . T h e a r e a o f t h e r e c t a n g l e i s 3 6 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 c m G 9 c m H 1 4 c m

X cm /l = 36cnn^

x + 5 cm J 2 6 c m 20.

Bonus T h e s u m o f t h e s q u a r e s 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 7 4 . F i n d t h e t w o i n t e g e r s . B:

5 and 7 or - 5 and - 7


NAME DATE PERIOD

9 Chapter 9 Test, Form 1 S C O R E

Write t t i 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 a t t h e r i g h t of e a c h q u e s t i o n .

1. C o n s i d e r t h e e q u a t i o n j - x'^ + 3x — 4. 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 r 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 ) C m a x . ; ( - 1 . 5 , - 6 . 2 5 )

D : { a l l r e a l n u m b e r s } D . - {x \ < - 1 . 5 )

R : { a l l r e a l n u m b e r s } R : ( y | y > - 6 . 2 5 }

B m a x . ; ( 0 , 0 ) D m i n . ; ( - 1 . 5 , - 6 . 2 5 )

D : { a l l r e a l n u m b e r s } D : { a l l r e a l n u m b e r s } R : {y\y < 0 } R : { y | y > - 6 . 2 5 } 1 . D

2. W l i 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 t h e g r a p h o f y = x'^ + 6x — 7? F x = 6 G x = -3 H x = 3 J x =-6

3. 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 of y = 4 — x^. 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 . A ( 2 , 0 ) ; m a x i m u m B ( 0 , 4 ) ; m i n i m u m

C ( 0 , 4 ) ; m a x i m u m D ( 2 , 0 ) ; m i n i m u m

4. 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 u n c t i o n i s g r a p h e d a t t h e r i g h t ? F - 1 , 3 H - 3 , 1 G - 1 , 1 J 1 , 3

5. 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 ? A 1 a n d 2 C O a n d - 1 B 2 a n d 3 D 0 a n d 1

6. 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^+l H y = x = ' - 1 G _y = - 1 J y=x^ m 7. D e s c r i b e h o w t h e g r a p h o f t h e f u n c t i o n ^ ( x ) = - 3 . x ^ — 2 i s r e l a t e d t o t h e g r a p h o f t h e f u n c t i o n fix) = - 3 x ^ . A t r a n s l a t i o n affix) = — 3 x ^ r e f l e c t e d o v e r t h e x - a x i s a n d d o w n 2 u n i t s B t r a n s l a t i o n affix) - -3x^ d o w n 2 u n i t s C t r a n s l a t i o n affix) = —3x^ r e f l e c t e d o v e r t h e x - a x i s a n d u p 2 u n i t s D t r a n s l a t i o n affix) = - 3 x ' u p 2 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 ^ - 5 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 - 1 2 . 2 5 G - 6 . 2 5 H 6 . 2 5 J 1 0

2.

3.

4.

5.

6 . _ H

7.

8.

B

H


NAME DATE PERIOD

9 Chapter 9 Test, Form 1 (continued)

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

10. 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 x ^ + 2 x — 3 = 0 ? F ( x + l F = 2 G ( x - 1 ) ^ = 4 H (x-^Y = 2 J ( x + 1 ) 2 = 4 10.

1 1 . S o l v e t h e e q u a t i o n 2 x ^ + 3 x — 5 — 0 b y u s i n g t h e Q u a d r a t i c F o r m u l a . A - 2 l l B - 5 , 1 C - l , 2 l

12. 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 f o r y = x ^ - 8 x + 1 0 . F 4 . 9 G 2 4 H 1 0 4

D - 1 , 5

J 1 0 . 2

13. 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 «^ — 5 n — 6 = 0 . A 1 r e a l s o l u t i o n C i n f i n i t e l y m a n y r e a l s o l u t i o n s B 2 r e a l s o l u t i o n s D n o r e a l s o l u t i o n s

14. TREE HOUSE B o b t o s s e s h i s b a s k e t b a l l o n t o t h e g r o u n d f r o m h i s t r e e h o u s e . H e t o s s e s t h e b a s k e t b a l l w i t h a n i n i t i a l d o w n w a r d v e l o c i t y o f 8 f e e t p e r s e c o n d . T h e e q u a t i o n h - - I Q t ^ - 8 ^ + 2 0 r e p r e s e n t s t h e h e i g h t h o f t h e b a s k e t b a l l a f t e r t s e c o n d s . H o w l o n g d o e s t l i e b a s k e t b a l l t a k e t o h i t t h e g r o u n d ? F 0 . 9 s H 1 . 0 s G 9 s

1 1 .

12.

13.

1 5 . 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 5 .x- + 9 x = 3 A 5 B 1 2 C 2 1

J 2 0 s

D 1 4 1

14.

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

1 7 . W l i 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 = 2 x B 2 x + 1 C y = 2 x ^

X + 3 i f X < 0 ?

- 2 x + 1 i f X > 0 '

F { a l l r e a l n u m . ) G { x | x > 3 } H { x | x < 2 } 1 9 . 1 f / i ; x ) = 2 | x l , f i n d / • ( - ! .

0 1 2 3

0 2 8 18

J n o n e o f t h e s e 1 6 .

D y = 2 -

18. W h a t i s t h e d o m a i n o f f(x) —

A - 2 B - A

20. W h a t i s t h e r a n g e o f y = 1 3 x + 1 1 ? F { a l l r e a l n u m . ) G { y | y > 0 }

C 0

H { y I y > 1 }

D

1 7 .

1 8 .

1 9 .

20.

Bonus I f 6^ - 4 a c = 0 , 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 t h e e q u a t i o n ax^ + fex + c = 0 . B :

B

B

D

H

J {y\y^\]

1 real so lu t ion


DATE NAME

IB Chapter 10 Test, Form 1 (continued)

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 2 , 3 , 5 B 4 , 6 , 7 C 1 0 , 1 2 , 1 3 D 1 , V3, 2

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 ? H >• = \/x + l + 2 F J = \/x + 2 + 1

G y = \Jx-2 + 1 J y = y/x-1 + 2

13. D

14. H

15. S i m p l i f y 2\/x • 5 V J C • 3\/x. A 3 0 V J B 3 0 x ^ V 3 F C 3 0 | x | V J D 30x' 15.

16. W l a 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 8 m e t e r s a n d a w i d t h o f 6 m e t e r s ? F 1 0 m G 1 4 m H 4 8 m J 1 0 0 m 16.

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 0 , 2 4 , 2 8 B 1 3 , 1 7 , 2 1 C V s , V 4 , V 5 D 5 , 1 2 , 1 3 17,

18.SAILING A 1 2 - f o o t c a b l e a t t a c h e d t o t h e t o p o f t h e m a s t o f a s a i l b o a t i s f a s t e n e d t o a p o i n t o n t h e d e c k 4 f e e t f r o m t h e b a s e o f t h e m a s t . W h a t i s t h e h e i g h t o f t h e m a s t ? F 9 . 5 6 f t G 2 2 f t H 1 1 . 3 1 ft J 1 2 8 ft 18. H

F o r Questions 19 and 20, the leg adjacent to Z A i n a right triangle measures 8 units , a n d the hypotenuse measures 13 units.

19. W h a t i s c o s A ? A 8

13 B 13 C 38° D 52° 19.

20. W h a t i s mZA? F 1° G 32° H 38° J 52° 20.

Bonus S i m p l i f y y/ix'^ + 4x + 1. B . |2X + l i


NAME DATE PERIOD

Chapter 10 Test, Form 1 S C O R E

Write tfie letter for t h e correct a n s w e r in t h e b l a n k at the right of e a c h q u e s t i o n .

1. H o w d o e s t h e g r a p h ofy = y/x + 2 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 2 C t r a n s l a t e d l e f t 2 B t r a n s l a t e d d o w n 2 D t r a n s l a t e d r i g h t 2 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 \ > —1}?

F y = ^Jx + l G y = \/x - 1 H y = V x + 1 J y = V x - i 2.

F o r Questions 3-7, simplify each expression.

4. 3 5 - V2

F

3. V90 A 9 V l 0 B 1 0 V 9 C sViO D V S O 3.

F im^^ G i m ^ H 1 5 + 3V2 ji5_±_3V2_ 4 . _ F _

5. eVs - 2^5 A 4 B -12 C - I 2 V 5 D 4V5 5. ^

6. 3 V 1 2 + V 2 7 - 2V2O F I 4 V 3 - 4 V 5 G 3 V 3 - V 2 H 9 V 3 - 4 \ J 2 l V 3 - 8 v ^ 6. "

7. V2 (Ve + 3 V 2 ) A 3\/2 + 6 B 6V2 C 2\/3 + 3V2 D 2V3 + 6 7. ^

8. S o l v e \/2x - 5 = 3.

F 4 G 7 H - 8 J ^ f 8- ^

9. S o l v e y/2x + 8 = x . A - 2 , 4 B 4 C - 2 D 2,4 9 Z _

10. F i n d t h e l e n g t h o f t h e h y p o t e n u s e o f a r i g h t t r i a n g l e i f a = 3 a n d 6 — 4. F 5 G V ? H 25 J 7 10

11. 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 P y t h a g o r e a n t r i p l e . A 4,5,6 B 3,4, 5 C 5, 11, 12 D 4,8, 12 11. ^

q 12. F i n d mZA t o t h e n e a r e s t t e n t h i f c o s = -g-

F 0.9° G 31.0° H 36.9° J 53.1° 12


NAME DATE PERIOD

II Chapter 11 Test, Form 1 r< continued)

11. F i n d t h e r o o t s o f / i x ) = + X - 6 X - 2

A -3 B 2 C 2 a n d - 3 D 3 n . A

12. F i n d — ^ + 3x X + 1 X + 1

7x X + 1

G 3x H- 4 '2x + 2

H 3 x I 4 X + 1

7x 2x + 2

1 2 . H

13. F i n d + • X + 1 X + 3 •

3x + 4 x> a : + 2

14. F i n d

F -

(x + l ) (x + 3) 2x + 4

X - 4 X - 7 8 8

11 8

G 1 H

x ' + 2 x + 4 (X + l ) (x + 3)

X - 11

D x' + 5x + 2 (x + I X x + 3)

X + 3

13.. D

14. G

15. F i n d X - 1 3 X + 2 X + 1 •

x ' - 3x - 7 B X - 4 (x + 2)(x + 1 ) (x + l ) (x + 2)

- 3 X + 2

D x^ - 3x + 5 (x + 2)(x + 1)

15 A_

16. W r i t e 9 + — a s a r a t i o n a l e x p r e s s i o n . 9a + 6

a G 15 H 9a + 6a a J 1 5 a 1 6 . _ F

17. S i m p l i f y ^

x''

18. S o l v e — ^ =

B

F 1 X - 2 X + 1 •

G

C

H 5

D

15

17 .__C^

18. H

19. 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 — + * ^ = 5 ?

A 0 B 4 X - 2 X - 2

C I D 2 19 D

200 m 60 m i n 1 k m 2 0 . F i n d , .

1 m m 1 hr 1000 m

F 3 0 0 k m / l i r G 1 2 k m / h r

Bonus S i m p l i f y

H 3 0 0 m / h r J 1 2 m / h r

1 + 3 •

20 G_

B : 7


NAME DATE PERIOD

t1 Chapter 11 Test, Form 1 S C O R E

Write the 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 a t t h e right of e a c h q u e s t i o n .

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 y = 1 5 x C xy = - 1 5

B xy = 1 5 D y = - 1 5 x 1 . B

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 = 1 8 w h e n x = 2, find y w h e n x = 4.

F 1 4 4 G 3 6 H 9 2. H

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 : - 2 X - 4 '

A 2 B - 2 , 2 C 2 , 4 D 4 3.

F 90rV G 3 r 5 n

H 6 m 9 r n 1 5 r n

4. G

5. F i n d 3r^ 4 p ' 2 p '

2rp 9 r •

B 2£l 3p

27r" 8p^

D 4p 6;- 5.

6. F i n d (t + 2)(t + 3) (t- mt + 7) (t - l)(t + 2)

t + 3 (t + D i t - 6) t + 2

t 6 t + 7 „ it + S)(t - 1) j _ J _

( I t - 1)( 6) 2 6,

7 . F i n d ^ - - ^ . r + 1 r + 1 A 12r T j

(r + 4 r 4 r D 4r

3(r + 1) 7.

8. F i n d ( a ^ + 4 a - 5 j ^ ( 5 a ) .

F a ^ + 4 o - G a ^ + 3 a H 5 a + 2 0 - 4- w a , 4 1 5 + 5 " «

8.

9. F i n d ( x ^ - 5 x - 1 4 ) ^ ( x + 2 ) . A X - 7 B - 5 x - 7 C X + 7 D x ^ - 6 x - 1 2 9.

10. I d e n t i f y t h e a s y m p t o t e s o f y = ^ + 2 . F x = 0 , y = 2 G x = 0 , y = - 2 H x = 2 , y = 0

Chapter 11 61

J x = - 2 , y = 0 10.

G l e n c o e A l g e b r a 1

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6 Chapter 6 Test, Form 1 SCORE - · PDF file6 Chapter 6 Test, Form 1 DATE PERIOD ... 2 D4 Chapter 6 51 Glencoe Algebra 1 . NAME DATE PERIOD C ' Chapter 6 Test, Form 1 (continued)