Name ÿ/"ÿ/ÿ [ÿ'Y
Kuta Software - Infinite Algebra 1
Solving Systems of Equations by Graphing
Period
Date
Solve each system by graphing.
3
1) y=-x-4 1
(iLtI° t{)
2)
X = --4
1
2
y=-x+2
y=3x-3
'1
/
..................... I--"i ........ ...Z.
/
/
4 3 2
o
.......... ;.-ÿj
2 ........................
/
/
f-ÿ -
-2 ;1 o
;
/
.................... ÿ-1o ---]-.............
-3
-3
/
-4
--,
3)
5
4
5
y=-x4
4)
y=--x- 2
1
3
y=-x+ 2
y=-x- 2
1
71
r\
q
4
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o
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-1-
5)
3
2
y=---x- 4
6) y=4
,
y=-x+4
1
2
y=-x+4
&
"x
_....2- _--a ,ÿ
N
2
x.
.,<-..
5
-2 -jl 0
-1
\
\
[-2
-4 -3N,ÿ2 -1 0
It-,
5"
7)
y=x+4
8)
y = -4x + 4
1
4
3
y=---x-3
y=--x-3
2
/ÿ
7 .....................
4- -
-2-
-Z
1 0
-1
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Direct Variation
Werksheet
1. Which equation is notan example of a direct variation?
-7
y =
S
x+l
3
B.y= --x C.
16
y=
4x
D. =-9x
y
2. Which equation is notan example of a direct variation?
A.y=x
B. 2x+3y=0
C.y=-x
5x+6y=30
2,
Name the constant of variations(k) for each equation.
3. y=5x l/'-: (ÿ
4. y= "ÿx
-2
s.y=--x
ÿ-.-J
V: '/
Write a direct variation equation that relates the two variables. Then solve.
6. Suppose y varies directly as x, and y= 16 when x = 8. Find y when x = 16.
,
rÿ
.......
:)-:>; t
7 Suppose y varies directly as ×, and y = 21 when x = 3. Find x when y = 42.
8. Suppose v varies directly as g, and v = 36 when g = 4. Find v when g = 11,
._.
....
.
.
,,:-fl,..
9. Suppose a varies directly as b, and a = 7 when b = 2. Find b when a = 21.
16ÿ.
ÿ:ÿ
.....
10. Suppose y varies directly asx, and y = 9 when x = 3/2. Find y when x = 1.
I .... (W
13.Your distance from lightning varies directly with the time it takes you to hear thunder. If
you hear thunder 10 seconds after you see the lightning, you are about 2 miles from the
lightning.
a. Write a direct variation equation for the relationship between time and distance.
b.
Estimate how many seconds it would take for the thunder to travel a distance of 4
miles.
!!:j
14. A recipe for 2 dozen corn muffins calls for 3 cup of flour. The number of
directly with the amount of flour you use.
%
a.
Write a direct variation equation for the relationship between the number of cups of
flour and the number of miJffins ...........
b,
Estimate how many cups of flour are needed to make 6 tozen muffins.
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