Uploaded by Mike Metellus

midmodule review 2

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Tyra moves from a small town to the city. The population
of the city is 6 x 105 which is about 15 times as great as
the population of the small town. Which expression
could represent the population of the small town?
Hours(x)
Miles (y)
Minutes(x)
6
Miles (y)
15 25 50 60
10 20 24
x
The y-intercept
-1
is the y value
0
when x = 0
1
2
y
-9
-4
1
6
x
3
7
0
-2
5
3
y
4
2
-1
2
0
3
Input
output
in (x)
Out(y)
Input
output
in (x)
Out(y)
Describe the
Solution of the
System of linear
Equations in the
Graph.
Y
5
4
3
2
1
-6 -5 -4 -3 -2 -1 0
-1
-2
-3
-4
1
2
3
4
5
X
6
x + y = 13
2x + 4y = 40
x + y = 18
5x + 1y = 62
x = -8
x = -5
x = -1
x=2
x=7
x=9
Equation: ___________
x y
y = -9
y = -5
y = -2
y=1
y=6
y=8
Equation: ___________
x y
y = -x - 9
y=x+5
y = -2x - 8
y = 2x - 7
y = -1/3x -8
y = 4x + 8
y = 2x + 18 y = -1/4x + 5
y = 1/4x -8 y = -2x
y = 1/2x - 8 y = -x + 12
Equation: ___________
x y
Equation: ___________
x y
x=2
6
Y
6
5
5
4
4
3
3
2
2
1
-6 -5 -4 -3 -2 -1 0
-1
-2
-3
-4
-5
Y
1
2
3
4
5
X
6
1
-6 -5 -4 -3 -2 -1 0
-1
-2
-3
-4
1
2
3
4
5
X
6
6
Y
5
4
3
2
x+y=4
x
y
0
0
1
-6 -5 -4 -3 -2 -1 0
-1
-2
-3
-4
-5
1
2
3
4
5
X
6
Sketch the graphs of the linear system on a
𝑥+𝑦 =6
coordinate plane:
.
𝑦 = 3𝑥 − 2
6
Y
5
4
3
2
1
-6 -5 -4 -3 -2 -1 0
-1
-2
-3
-4
-5
1
2
3
4
5
X
6
9
Y
8
7
6
5
4
3
2
1
-6 -5 -4 -3 -2 -1 0
-1
-2
1
2
3
4
5
X
6
x
0
1
2
3
4
5
y
x y
0
1
2
3
4
5
Two cars drive from town A to town B at constant speeds.
The blue car travels 𝟐𝟓 miles per hour, and the red car travels
𝟔𝟎 miles per hour.
The blue car leaves at 9:30 a.m., and the red car leaves at noon.
The distance between the two towns is 𝟏𝟓𝟎 miles
y
4100
3500
2900
2300
1700
1100
500
0
1
2
3
4
5
6
7
8
9
x
y
30
24
20
16
12
8
4
0
1
2
3
4
5
6
7
8
9
x
Which of these is the graph of a linear equation?
35
30
25
20
15
10
5
0
1
2
3
4
5
6
Books
Price
3
$15
6
$30
9
$45
12
$60
15
$75
Find the equation of the line passing through
the point (3, 1) and having a slope, m = 2
x y
Find the equation of the line passing through
the point (-1, 5) and having a slope, m = 3
# of cars sold
Weekly Salary
earned
0
$500
1
$1,100
2
$1,700
3
$2,300
70
30
25
20
15
10
5
0
1
2
3
4
5
6
7
6
Y
5
4
3
2
1
-6 -5 -4 -3 -2 -1 0
-1
Standard form
-2
-3
-4
-5
1
2
3
4
5
6X
The ratio of
the vertical
and the
horizontal
distance
between 2
on the line
6
Y
1
2
5
1
4
The y-intercept is
the point at which
the line is passing
through the y-axis
2
3
1
2
1
-6 -5 -4 -3 -2 -1 0
-1
-2
-3
-4
-5
2
1
2
3
4
5
6X
6
Y
5
4
3
2
1
-6 -5 -4 -3 -2 -1 0
-1
-2
-3
-4
-5
1
2
3
4
5
6
X
6
Y
5
4
3
2
1
-6 -5 -4 -3 -2 -1 0
-1
-2
-3
-4
-5
1
2
3
4
5
6
X
P(3, 6)
6
5
Slope/rate of change
P2 – R2 6 – 3
m = P –R = 3–2
1
1
-6
4
R(2, 3)
3
2
1
-5
-4
-3
-2
-1
0
-1
1
(1, 0)
2
3
-2
(0,
-3)
-3
4
-5
4
5
6
7
x
y
-2
-1
0
1
1
4
7
10
m=
Slope/rate of change
(-2, 1)
(-1, 4)
(0, 7)
(1,10)
y2 – x2
x2 – x1
$16
left
Original amount($)
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