Name:_________ ~ ________________ HE:





..~

Algebra 1

r

Period_ __

.~

Why did the 5th pig drink so much water? r

Find the slope. Some answers appear more than once. ! 1.-1--3-,-4)-a-n-d-(2-,--1-)-----..,.-.-H-.-(-2-,-7"--)-an-d-c(-·7-,4-,)------,

G. (-1, 5) ,nd (4, -3)

C. (-3,4) and origin

E. (-6,3) and (-8, 3)

L (3, -4) and (-2, 6)

O. (-4, 7) and (-6, -4)

S. (3,5) and (-1, -8)

. A. (10, 1) and (1, 8)

D. (-3,4) and (-3,8)

Y. origin and (2, -3)

W. (9,8) an d(3, 1)

O. (-2, -1) and (4,3)

i W. (1,5) and (8,2)

T. (1, -19)and (-2, -7)

E. (0, -4) and (-1, -7)

(1,2)

I

13

-

4

I

I

~!

2

-1

-4

3

3

4

-3'

I i

11

2"

8

2

5

2 3

I

I

I

3

7

I

!

o

3

7

6

o

3

i

1

0

~

-2

I -2

-4

I:

I

3

~

I -

~ I:

1211 -

i i ; ~~~__ 1_~_~______ .. L _ - L_ _ _ _ _ _~ _ _J-_~_ _~_ _~__

~

o

I

Name______________________________ -~

Period- -

/

Finding Slope Given Two Points

HANGMAN

6

THING

s

-­ 4

1

12

-17

Directions: Choose a letter you think is in the word. Find the slope, then check to see if the answer is in the letter blanks. If it is, place the problem letter in the blank that contains the answer. If not, draw a body part in the hangman figure.

-43

7

-­ 8

A. (0,0), (-2, -4)

N. (%, -2), (5, 1)

B. (2,5), (4,8)

O. (-1,0), (1,2)

C. (6, -10), (3, -1)

P. (-4,1)' (2, 5)

D. (5,3), (-3,5)

Q. (6, -3), (-5, -4)

E.

(1,~),

R. (-7,-2),(4,-6)

(3, 2)

F. (4, -5), (-1, -3)

S. (9,5),(-1,-2)

G. (6, -4), (-3, 5)

T.

H. (-2, 6), (-5, -1)

U. (3, -4), (4,8)

I. (6,3), (8, -4)

V. (2, 7), (1, -4)

J. (5, -1), (-3, -6)

W. (-6,9), (2, -3)

K. (-9, -4), (-3, -6)

X. (-8, 6), (-2, 1)

L. (-3, -4), (3, -2)

Y. (3, -1), (-5, 6)

M. (1,6), (9, -4)

Z. (8,1), (-7, -5)

,

"'\

(~,

-2), (4, 1)

I

Period_ _ __

Identifying Slope State the slope of each line. 1.

2.

3.

4.

5.

6.

4 ~...

9.

10.

11.

.

Period_ __

Name__________~--------------------~

G ..aphing Point.Slope Graph the line passing through the given point with the given slope.

2. (-3,4), m -2

1. (0, 2), m :: 1

I

6 5 ; 4

:;

Ji

1

~

:2

"

4

" , , - :~---

1 ·l

1

2;

4. (-2, -1), m



3:, ::;c

41 !

51 61,

2

3

9. (1,3),

m:: -1

j

6

4

i

I

I I

5 "

4

!

3

--,

i

:2

"-,

1 -1

i

:'-

",,,

!

II

:2

3 11

12. (2, -4), m :: 0



I""'"

41 51

Ii

Name________________________________

Period______

For each set of ordered pairs, find the missing coordinate that will make the slope true.

-------;

~~

R. (3, -4) and (-2, y) slope = -2

U. (3, 7) and (1, y) slope = a

E. (x,

T. (-2, 7) and (x, 6) slope =-­

5) and (2, 9)

slo pe = undefined

1 6

I

S. (1, y) ahd (-2, -7) slope =-4

N. (19, -2) and (x, 10)

:

I O.

(3, -20) and (5, y) slope = 14

2

slope=-­

H.

(6, y) and (15, -3)

slo pe = 1

5

I

A. (x, 3) and (19, -17) slope =-2

N. (x, 4) and (7, 6) slope:;:: ­

-- - - - - - - - - i and (x, 7)

E. (-5, 10)

R. (-2, y) and (4, 3)

1

slope =­

2

slo pe

3

2

3

'5 .~.. '

;

D. (x, 4) and (5, -4) slope:;:: - ­

F. (3, -7) and (4, y) slope =-2

4

5

,.---.

T. (5, 9) and (x, 3) slope = undefined

V.

P. (-1,4) and (-10, y) 1

11

slope =­

slope=-­

3

I

E. (6, -12) and (15, y) slope

1

2

'"--­

C. (-4, 3) and (-6, y) slope:;:: ­

(-2,8) and (x, -3)

Is. (3, -5) and (-I, y)

5

1

slo pe :;::­

2

2

I



Linear Equations: Finding m and b

Algebra

. lnear

Slope-Inte cept DirectionS: Fi~d the'slope (m) and

quations, Sudoku

Example:

y~intercept

(b) of each equation. Place their values in tbeir given Sudoku grid location.

+1 ill = _6_ b= 1

b=

(3A)

m=

(9F)

b=

y - 6 =3(x + 1)

TIl

=--

b=

y-5x

(9C) (6 has been placed in location 9C) (9B) (1 has been placed in location 9B)

y =3(x + 2)

y - 8x =9

y-9 TIl

+1

y = 6x + 1

(Integers + 1 to +9)

=2x --

y - 1 = 6x

--

•y - 2

(71)

m=

(5H)

b=

=7

(SF)

m=

b=

(9D)

b:::::

m=

(ID)

ill

b=

(2C)

b=

y-x=5

m=

(7A)

b=

=2(4x + 1)

--

2(y -7x)

m:::: - -

(41)

2(y - 6x) = 12

m=

(2H)

(3E)

b:::::

(8G)

(31)

m

y =2 + 7x

(6A)

4y - 8

i

=12x

--

(5D)

(5B)

=10

--

(1F)

--

--

(4G)

b=

Y- 2 = 2(x + 1)

(4B)

m=

(6C)

b-

I

--

I

H I

G

I

I

F

!

I

I

l





!

i

D

!

I

I

I

I

C

6

I

I

1

B

I

A

I



1

2

3

4

5

6

7

(lH) (lG)

I

E

(6H)

8

9

Standard form linear equations: Finding x and y intercepts

Algebra

Standard Form of Linear Equations

Ma th Quote s :

Find the x and y intercepts of the given equations, and then fill in their letters in the blanks below.

"

--------­

6

7

2

-8

8

-3

6

-7

3

-8

-5

7

-7

-2

5

6

6

7

5

7

3

6

-7

6

-7

-5

7

5

8

7

6

-5

-3x + 4y::::: 8 A. x-int B. y-int

2x - 4y = ]6 D y-int C. x-iut

6

3

7

-8

-5

1 2

3

-8

4

-x - 4y = 8

1

7

5

2

8

1

7

3

2

6 7

-3

-2

-

1

2"

-8

6

8

6

7

7

8



-I

3

1

-

-4

8

6

3

7

---­

8

6

1

3

7

5

8

-8

8

7





3

6

5

-

8 3

8

5

6

3

I. y-int

-2

5

6

-4

7

-5

-3

-3

6

7

7

1 2

4

-5

-8

"

3

3

-8

8

-7

3

u.

-7x + 42y = 49

Ii,. y-int 1~~:3~,= l::y-m'j IU. x-in' I Y-in'.1 V.

I

-x + 2y -1 M. x-iut N. y-int

-7x 49y = -42 S. x-int T. y-int

8x +2y= ~mnm

YX-intJ:j •••••

---

-_

--------.

-------------

------------­

I

~------

I

8 3

6

--_.



25x - 5y= -25

;'(1:- 25y=-5

-4

--­

6

I~:-X-i:tl F~J IK. x-in' H. x-int

6

-8

7

3



8

6



6

6

--------­

6

I

-4

- ­

---­

....

-

~

)

Linear Equations

Algebra

Write the slope-intercept equation given two points

Hangman

6

TIDNG

y = -x + 2



y=

~x-3

Directions: Choose a letter you think is in the word. Solve that problem, then check to see if the answer is in letter blanks. If it is, place the problem letter in the blank that contains the answer. If not, draw ~ body part in the hangman figure. y=x+l

y = llx-15

Y = %x -1;4

A. (0,0), (-2, -4)

N. (%, -2), (5, 1)

B. (2,5), (4, 8)

o.

C. (6, -10), (3, -1)

P. (4, -1), (2, 5)

D. (5,3), (-3, 5)

Q. (6, -3), (-5, -4)

E. (1, liz), (3, 2)

R. (-8, -2), (4, -6)

F. (4, -5), (-1, -3)

S. (-8,5), (-1, -2)

G. (6, -4), (-3, 5)

T. (liz, -2), (4, 1)

H. (-2,6), (-5, -1)

U. (3, -4), (4,8)

1. (6,3), (8, -4)

V. (2,7), (1, -4)

J. (5, -1), (-3, -6)

W. (-6,9), (2, -3)

K. (-9, -4), (-3, -6)

x.

L. (-3, -4), (3, -2)

Y. (3, -1), (-5, 6)

M. (1, 6), (9, -4)

Z. (8, 1), (-7, -5)

,

(-1,0), (1, 2)

(-8,6), (-2,1)

". ·'/if".- ,'."

,

'Graphing slope-intercept e,quations

Algebra Name_______________ ~__________Period

Gniph the following equations

Graphing slope-intercept" equations

Algebra Name,____________________________Period

. Graph the foUowing·equl:j.tions

3. x = -4





Graphing Linear Equations

Algebra

How Did The Poet Write To His Love? Graph each set of equations on its given coordinate plane:

Graph: x =-2 x=2

Graph: x == 3

Graph: y == -3x - 4 y=3x

4

Graph: x =-4 y=4

3

5

Graph: y == - x + 4

Graph: x",-5 y

-x

Graph: x =-5

5

Y 4

y:= -4

Y I

Y

-5

y'-,,-

y

2

x+3

5

1

x+3

5

Y

1

y:= -I

x-4

4

y= -

2

x

5

1

~



Linear Equations

Algebra

. Name'--_ _ _ _ _ _ _--'-_ _.Period_ _

Point-Slope Equations Given a point and the slope, write the point-slope and slope-intercept equation of the line.

Given Point and Slope 1. (8, 2); slope = -2 2. (3,2); slope

=--45

3. (8, 9); slope

=2

Point-Slope Equation

Slope-Intercept Equation

!

I !



I i

I

9

4. (9, -8); slope

=4

5. (10,4); slope

= -14

I

5

6. (10,12); slope

7

=-2

7. (7, -8); slope

=-4

8. (8, 15); slope

=5

9. (-5,13); slope

= 13

10. (-3, -1); slope

= --7

5

4

i

I

I

I

I

11. (2, -5); slope = 3

12. (!;),14);

I



!

I

I

I

Period_'_ __

r

.Which Inonste:r is safe to put in

washing anachines?

Write an equation in slope-intercept form of the line that goes through each pair of points.

(6, 1) and (8, -4)

E. (-3, 5) and (2, 2)

W. (0, -1) and (3,5]

A. (-2, -4) and (1,8)

O. (7, 1) and (7, 8)

. H. (4,3) and (7, -2)

I

r

I D.

(-2,4) and (1, 2)

-t--:----:-~_:__--:----~J L. (-5,12) and (8, -5)

(4, -2) and (3. -6]

!, W. (-2,3) and (1, -6)

A. (-4,3) and

R. (1,6) and (3, -4)

F, (-6,8)

:

i

N1

o;j"

I

+

x

~ II

>­ ~

x

o;j"

II



L'1j N

+ ~

"'1M

II

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II

II



+

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.... IM

.... 1 ....

I

1.0

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I X

"'IN

o;j"

I

II

II





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S. (2,3) and

1)

W. (-1, -2) and

!

~lM I "'1IM ~

-5)

rl

I X N II



:

I ~I""

+ ~

MI""

I II

>­ .~

rl

,...;

+ X

Lo( II



(OIM

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+

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Nlm

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II

>-



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r--­ II X

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,...;

I ~ MIN

I II

.A('...



Name,_ _ _ _ _ _ _ _~----Period--

Algebra

Write each equation in slope-intercept form. y -3 =3(x+2)

3 3. y+5=-5'(x+l)

1

2. y+3=--(x-4) 2

i

1 4 4. y-3=-x+­

6

3

1 5. y-2=-x+2

1

6. 7x- y = 26--x

3

2

I !

i



~'

1 3y=-x-6

8. y-3

2

1

] O. y-2=-(x+6)

10

II. y-2=4(x-3)

3

I

1 4 y+3=-x+­

6



3

9 6y = 7x+33

1 =--(x-2) 1

4

12. y+2=--(x+l) 7

14.

1 2

(x+8)=y-4

15. 6y

1

7(-x+ 3) 2

Line~

Equations

Algebra

Name_ _ _ _ _ _ _ _ _ _ _--=-.P.eriod_ __

standard to Slope-Intercept Convert each Standard form equation into Slope-Intercept and state the y-intercept .

. lOx + 2y::: 10

3x + y::: 1

2x ­ 5y::: 13 I I

t I

I

-3x ­ 3y::: 12

4x ­ lOy::: -3

3x + 12y::: -5

I

I lOx + 15y::: 11

8x + l6y::: -6

5x ­ 8y::: -4

4x + 12y::: -6

lOx + 9y::: 10

-2x ­ 8y::: 3

I

I

2x + l3y ::: -4

,

-3x + 5y::: -5

4x + 3y::: 11

!







Algebra: .Graphing slope-intercept equations

Transform

Narne._____________~________~Period

to slope-intercept; then graph the'following.equations

Period_ _ __

Graphing Standard Forll.'l 3) 2x-y=6



Name______________________~--------

Period.____

Did you hear about the silkworms that were in a race? . Transform each equation to standard form.

I

I A)

I E) 4x =4 - 7y

=

N) Y 3x+ 1

8x

= -Sy - 2

I

H) y:;: 9x

I) y:;: -12x

6

T) 6x:;: 4y - 5

,I

I

,N) y+4=x

0) y:;: -4x- 8

U) -12x=-3-6y

1

E) 7x

i) 3x:;: -4y + 7

-14y + 21

Y) -y - 3

. T) -8y =4x + 2

x

I

I

I P)-lDx=2S-Sy

+ 7x

I

I 1

I

I

I

I

!

I

ex:; I

N

iI

;>., -.;t

t

;.

-.

+

>< .­

N

N

-.;t

II

>-. I

>
-.

II

>-.

trl

:xl

+ ~

+ ~

1

0\ I

II

>..

p

Name_____________________________________

Period_______

How do you stop a' dog from 'chasing 'people on a bicycle? Transform each equation to standard form. 3

3

S)y=-x-1

A) Y

1

11 =sx +6

3

T) y = '2x

6

K)'y=-x-2

12

11

11

N

» N

M

I

x

II

» I

>



>

N

I

+ x

'

00

I

x

.-I .-I

00

.-I I

II

N M II

>

> r-­

'

.-I .-I

I X M .-I

.-I

0 lr)

II

»

lr)

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N N

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lo
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00

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+

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;>-..

;>-.. j

M

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N N

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x

X N

k "T

II

II

lo