inequalities & absolute value
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Transcript inequalities & absolute value
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Slope
5
10
15
20
25
Equations
of a line
5
10
15
20
25
Parallel/
Perpendicular
5
10
15
20
25
Functions
/Domain
& Range
5
10
15
20
25
Inequalities
& Absolute
Value
5
10
15
20
25
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Team One
0
Team Three
0
Team Five
0
Team Two
0
Team Four
0
Team Six
SLOPE
5 Points
Calculate the slope of a line
passing through the points
below
F(9,11) E(12,7)
Show Answer
SLOPE
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SLOPE
10 Points
Calculate the slope from the graph below
Show Answer
SLOPE
Run = 2
Rise =1
rise
m
run
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SLOPE
15 Points
Raj charts the volume of water in a leaky water
tank. The volume,
gallons, over time,
in minutes, is shown
on the graph.
in
What is the rate, in gallons per minutes, at
which the volume of water in the tank is
decreasing?
Show Answer
SLOPE
-0.3 gallons per minute
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SLOPE
20 Points
The slope of a line is -2 and the
line contains the points (7,4)
and (x, 12). What is the value
of x?
Show Answer
SLOPE
3
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SLOPE
25 Points
The graph shows the distance
between an airplane in flight
and a control tower over time.
Which statement best describes the aircraft’s movement?
A. The airplane is moving toward the tower at a rate of
2.5 miles per minute.
B. The airplane is moving toward the tower at a rate of
25 miles per minute.
C. The airplane is moving away from the tower at a rate of
2.5 miles per minute.
D. The airplane is moving away from the tower at a rate of
25 miles per minute.
Show Answer
SLOPE
A
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EQUATIONS OF A LINE
5 Points
Find the equation of the line with the
given slope that passes through the
given point m=2 and (-1,5)
Show Answer
EQUATIONS OF A LINE
y=2x+7
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EQUATIONS OF A LINE
10 Points
Write the equation of the line graphed below.
Express your answer in standard form.
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EQUATIONS OF A LINE
Rise = -3
Run = 1
3x+y=8
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EQUATIONS OF A LINE
15 Points
Find the equation of the line that
passes through the following two
points: (1,12) and (-3,5)
Express your answer in slope
intercept form.
Show Answer
EQUATIONS OF A LINE
7
41
y x
4
4
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EQUATIONS OF A LINE
20 Points
Write the equation of the line pictured in the
graph below. Express your answer in
slope intercept form
Show Answer
EQUATIONS OF A LINE
Rise = -3
Run = 1
y=-3x+4
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EQUATIONS OF A LINE
25 Points
Convert the point slope
equation to slope intercept
form.
y-5=6(x-8)
Show Answer
EQUATIONS OF A LINE
y=6x-43
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PARALLEL/PERPENDICULAR
5 Points
Line l is perpendicular to line m below. What is the
slope of line l?
Show Answer
PARALLEL/PERPENDICULAR
11
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PARALLEL/PERPENDICULAR
Which of the following graphs shows a line parallel
to y 2 x 4 ?
5
Show Answer
PARALLEL/PERPENDICULAR
D
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PARALLEL/PERPENDICULAR
On the coordinate grid below, line l is parallel to
What is the slope of line l?
AB
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PARALLEL/PERPENDICULAR
2
7
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PARALLEL/PERPENDICULAR
Yael graphs line AB on a coordinate grid through
points A(-10,4) and B(5,3). If BC is perpendicular
to AB , what is the slope of BC ?
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PARALLEL/PERPENDICULAR
15
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PARALLEL/PERPENDICULAR
25 Points
City engineers use a map of the city
showing street locations on a
coordinate grid. The section
below shows the map coordinates
of two points on Main Street and
one point on Elm Street.
If Main Street runs perpendicular to Elm Street, which of the
following equations best describes the path of Elm Street?
A. y=-3x+18
B. y=3x
C.
1
y x 10
3
D.
y
1
x 8
2
Show Answer
PARALLEL/PERPENDICULAR
A
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FUNCTIONS/DOMAIN & RANGE
5 Points
Which set of ordered pairs does NOT represent a
function?
A.
B.
C.
D.
{(4,8), (1,8), (5,11), (0,0)}
{(2,1), (1,2), (2,0), (5,5)}
{(0,0), (1,1), (2,4), (3,9)}
{(1,7), (4,7), (7,7), (10,7)}
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FUNCTIONS/DOMAIN &
RANGE
B
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FUNCTIONS/DOMAIN & RANGE
10 Points
Damon recorded the daily high temperature (in
degrees Celsius) in his back yard for 12
consecutive days and graphed the results.
Which of the following values
is NOT in the range of
temperatures in the graph?
A. 13
B. 15
C. 22
D. 26
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FUNCTIONS/DOMAIN &
RANGE
D
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FUNCTIONS/DOMAIN & RANGE
15 Points
Set A={(1,4), (4,7), (3,7), (5,9), (9,2)}
Which of the following statements is NOT true?
A.
B.
C.
D.
The domain of A is {1, 4, 3, 5, 7, 9}
A is a function
The range of A is {4, 7, 9, 2}
A is a relation
Show Answer
FUNCTIONS/DOMAIN &
RANGE
A
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FUNCTIONS/DOMAIN & RANGE
20 Points
If {-3, -1, 1, 2, 3} is the domain, what is the range of
f x x x
2
A.
B.
C.
D.
{-3, -1, 1, 2}
{0, 2, 6, 12}
{1, 4, 9}
{-3, -2, -1, 1}
Show Answer
FUNCTIONS/DOMAIN &
RANGE
B
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FUNCTIONS/DOMAIN & RANGE
25 Points
A farmer uses a large cylindrical water tank for irrigation. When the
farmer waters his fields, the depth in the tank decreases at a steady rate
of 0.3 inch per minute. After 20 minutes of watering, the depth of the
water in the tank is 9 inches.
Which graph shows the relationship between d, the depth of the water in
inches, and t, the time in minutes?
A.
B.
C.
Show Answer
FUNCTIONS/DOMAIN &
RANGE
B
At x=20
y value is
at 9
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INEQUALITIES & ABSOLUTE VALUE
5 Points
Karen graphed the inequality shown on the
coordinate plane. Which of the following
inequalities best represents the graph?
A.
B.
1
y x2
3
y
1
x2
3
C.
1
y x2
3
D.
1
y x2
3
Show Answer
INEQUALITIES &
ABSOLUTE VALUE
C
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INEQUALITIES & ABSOLUTE VALUE
10 Points
Which of the following shows the solution to the
inequality shown below?
1 2n (5 n) 16
A.
1 n 11
B. 14 n 34
C.
1 n 16
D.
2n7
Show Answer
INEQUALITIES &
ABSOLUTE VALUE
D
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INEQUALITIES & ABSOLUTE VALUE
15 Points
The graph shows a system of linear inequalities.
Which of the following (x,y) coordinate pairs is NOT a
solution to the system of inequalities?
y 5 x 2
9 x 8 y 48
A. (0,0)
B. (0,6)
C. (-5,0)
D. (0,-2)
Show Answer
INEQUALITIES &
ABSOLUTE VALUE
Solutions are in the shaded region or
on a SOLID line
X A in shaded region
√ B on dotted line
X C in shaded region
X D on solid line
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INEQUALITIES & ABSOLUTE VALUE
20 Points
Which graph shows the solution to the inequality
shown below?
9 4(m 2) 3 19
A.
B.
C.
D.
Show Answer
INEQUALITIES & ABSOLUTE VALUE
Answer for 20 Points
B
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INEQUALITIES &
ABSOLUTE VALUE
Solve the absolute value inequality
2 x 8 14
Show Answer
INEQUALITIES &
ABSOLUTE VALUE
11 x 3
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Show Question
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“Big Points” Question
Which of the following linear
systems has infinitely many
solutions?
A. 15x + 5y = 20
6x – 2y = 8
B. 15x - 5y = 20
6x – 2y = -8
C. 15x – 5y = -20
6x – 2y = 8
D. 15x – 5y = 20
6x – 2y = 8
Show Answer
Big Points
Answer for Big Points
D
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