Download Chapter_4_Review

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CHAPTER 4 REVIEW
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The table shows the
cost to mow a lawn
for a given number of
hours. Find the rate
of change in cost with
respect to time.
Time
(hours)
2
6
10
Cost ($)
25
75
125
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HINT: Find the SLOPE!!
Answer:
$12.50 PER HOUR
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Plot the point (5, -2) and
describe its location.
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Quadrant IV
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What is the value of the
function when x = -7?
f(x) = –2x + 9
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f(-7) = 23
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Plot the point (0, -3) and
describe its location.
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y – axis
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Graph (use any method).
SHOW ALL WORK!!
y = -3x
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y = -3x + 0
Slope: - 3/1
Y-Intercept: (0,0)
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A) Sketch the graphs of the
lines x = -5 and y = -3.
B) Then, state the point at
which the two graphs intersect:
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A) x = -5 and y = -3
B) Point of intersection: (-5, -3)
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Find the slope of the line
that passes through the
points: (-3, 7) and (5, -9)
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m = -2
The slope is negative!
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Tell whether (4, 9) is a solution
of the equation. Verify your
answer algebraically.
y = -4x – 7
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No, (4, 9) is NOT a solution!!
Because -23 does not equal 9!!
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Find the slope of the line
that passes through the
points: (-2, -4) and (-2, 8)
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m = undefined slope!
The slope is undefined because it
is a vertical line!
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Graph by finding the xand y- intercept.
4x – 5y = 20
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x-int: (5, 0)
y-int: (0, -4)
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Tell whether the graphs of
the two equations are
parallel. Explain your
reasoning.
y = 9x – 2 and 9x + y = 18
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They are not parallel because when
you solve each equation for y, you get:
y = 9x – 2
y = -9x + 18
The two slopes: 9 and -9 are not the
exact same, and therefore the two
lines are not parallel!
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Find the value of x such that f(x) = 0.
f(x) = -6x - 12
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x = -2
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Graph by finding the xand y- intercept.
2y – 4x = 12
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x-int: (-3, 0)
y-int: (0, 6)
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Graph by writing in slopeintercept form. Then, identify the
slope and y-intercept.
2y = -5x - 8

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Solve for y first!
5
y  x4
2
5
Slope: 
2
y – intercept: (0, -4)
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Graph by writing in slopeintercept form. Then, identify the
slope and y-intercept.
2x – 4y = 12
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Solve for y first!
1
y  x3
2
1
Slope:
2
y – intercept: (0,– 3)

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Graph by writing in slopeintercept form. Then, identify the
slope and y-intercept.
y = –4
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y = –4
y = mx + b
y = 0x – 4
Slope: 0/1 or 0
y – intercept: (0,– 4)
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Graph the equation by
making a table of values:
y = -3x + 4
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y = -3x + 4
x
y = -3x + 4
(x, y)
-2
-3(-2) + 4; 6 + 4; 10
(-2, 10)
-1
-3(-1) + 4; 3 + 4; 7
(-1, 7)
0
-3(0) + 4; 0 + 4; 4
(0, 4)
1
-3(1) + 4; -3 + 4; 1
(1, 1)
2
-3(2) + 4; -6 + 4; -2
(2, -2)