•
Name:_________ ~ ________________ HE:
•
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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
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3
7
I
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o
3
7
6
o
3
i
1
0
~
-2
I -2
-4
I:
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3
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I -
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1211 -
i i ; ~~~__ 1_~_~______ .. L _ - L_ _ _ _ _ _~ _ _J-_~_ _~_ _~__
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o
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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
•
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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
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G
I
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F
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i
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C
6
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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)
:
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W. (-1, -2) and
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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
•
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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
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I P)-lDx=2S-Sy
+ 7x
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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
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M
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