functions slope/rate of change linear equations data analysis probability 10 20 30 40 50
TRANSCRIPT
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Keystone Review- Module #2
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Functions Slope/Rate of change
Linear Equations
Data Analysis Probability
10 10 10 10 10
20 20 20 20 20
30 30 30 30 30
40 40 40 40 40
50 50 50 50 50
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Functions-10 points
What is the domain of the relation graphed below?
(-5,5)
(-4,-2)
(1,2)
(5,-3)
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Functions- 10 points
Answer:
5, 4,1,5
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Functions- 20 points
Does the table Represent a function why or why not? Does the graph represent a
function why or why not. Must get both correct to gain the points.
A. B.X Y7 -2
-3 -2
9 -2
-4 -2
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Functions- 20 points
Answer:
A. Function, Domain does not repeat.
B. Not a Function, Vertical line test fails.
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Functions- 30 pointsJazmin is a hairdresser who rents a station in a salon
for a daily fee. The amount of money (m) Jazmin makes from any number of haircuts (n) a day is described by the linear equation m = 45n – 30.
Which statement is true?
A. A haircut costs $30, and station rent is $45B. A haircut costs $45, and station rent is $30C. Jazmin must do 30 haircuts to pay the $45 rental feeD. Jazmin deducts $30 from each $45 haircut for the
station rent.
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Functions- 30 points
Answer:B. A haircut costs $45, and station rent is $30
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Functions- 40 pointsJustin works at a shop that prints t-shirts. The
table shows how the cost of printing t-shirts depends on the number printed.
Write an equation to show the relationship between n, the shirts printed, and C, the total
cost.
Number of shirts
Total Cost ($)
20 110
30 135
40 160
50 185
60 210
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Functions- 40 points
Answer:
560
2c n
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Functions- 50 points
State the domain and range for the following graph.
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Functions- 50 points
Answer:
Domain:
Range: 0, or y 0
6, or x 6
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Slope- 10
Find the slope of a line containing the points:
(-4, 7) and (3, -5)
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Slope – 10
Answer:
12
7
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Slope - 20A pole is placed against a house, 6 ft. from the base of the wall. In this position the pole has a slope of 5/3. What height off
the ground does the top of the pole rest against the house?
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Slope – 20
Answer: 10 feet
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Slope - 30A snowstorm laid down more snow on top of an existing base.
The equation below can be used to find the total inches of snow, s, on the ground after any number of hours, h, of the
storm.
What does the number 0.75 represent in the equation?A. The length of time in hours the storm lastedB. The inches of snow that fell per hour during the stormC. The inches of snow on the ground after 3/4 of an hourD. The inches of snow on the ground at the beginning of
the storm
0.75 4s h
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Slope – 30
Answer:B. The inches of snow
that fell per hour during the storm
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Slope - 40
The table below shows the rate charged to park in a parking garage
Melissa has parked her car in the garage for 2 hours already. How much more will it cost for her car to be parked for 1 additional hour?
# of hours
Cost to Park
0.5 1.00
1.0 1.75
1.5 2.50
2.0 3.25
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Slope - 40
Answer: $1.50
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Slope - 50
What is the slope of a line perpendicular to this equation:
4 5 10x y
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Real Numbers– 50
Answer:
5
4
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Linear Equations - 10
What is the slope and y-intercept of the following equation?
6 3 1y x
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Linear Equations – 10
Answer:
Slope: -3Y-intercept: 3
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Linear Equations - 20
Which is an equation of a the line that contains the points (0, 3) and (-2, 4)?
A. 2x + y = 3B. x + 2y = 6C. 2x + y = 0D. X – 2y = 6
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Linear Equations – 20
Answer:
B. x + 2y = 6
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Linear Equations - 30
Which is an equation of a line that contains the point (-3, -1) and has a
slope of 1/3?
A. x + 3y = 0 B. x – 3y = 0
C. 3x + y = 0 D. 3x – y = 0
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Equations – 30
Answer:
B. x – 3y = 0
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Equations - 40Ashley is the manager of a theater. She
has $240 to spend on posters to advertise a new play. Ashley can spend exactly $240 to print 48 small posters.
She can also spend exactly $240 to print 30 larger posters. Write an equation that
can be used to find all combinations of small posters (x) and large posters (y)
that will cost exactly $240.
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Linear Equations – 40
Answer:5x + 8y = 240
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Linear Equations - 50Neil gets in an elevator at the 30th
floor, and it begins to move downward at a speed of 8 ft. per
second. After 12 seconds, the elevator is 240 ft. above the ground.
Let y = the height in feet of the elevator x seconds after Neil got in.
Write an equation to show the relationship between x an y.
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Linear Equations – 50
Answer:Y = -8x + 336
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Data Analysis- 10The stem and leaf plot below shows the length, in minutes, of each movie playing at the local theater complex
this week. Find the median.
8910111213
83 4 7 90 82 5 6 8 80 4 53
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Data Analysis – 10
Answer:Median = 113.5
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Data Analysis - 20The stem and leaf plot below shows the length, in minutes, of each movie playing at the local theater complex this week. Find the lower quartile.
8910111213
83 4 7 90 82 5 6 8 80 4 53
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Data Analysis– 20
Answer:Lower Quartile = 98
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Data Analysis- 30
Javier’s scores in 7 basketball games are shown below:
18, 15, 20, 14, 12, 17, 18
Javier has one more game and he wants to average 17 points for all 8 games. How many points does he need to score in his last game?
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Data Analysis – 30
Answer:
22 points
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Data Analysis - 40The prices of the five most popular big screen television sets at an electronics store are listed
below.$2,499, $1,359, $2,299, $2,999, $1,789
If the price of the next most popular television set is included in this data, the range in prices
increases by $800. what could be the prices of the next most popular set?
A. $2, 159 B. $2, 199C. $3, 799 D. $3, 859
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Data Analysis – 40
Answer:
C. $3, 799
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Data Analysis - 50
Write an approximate equation of the line of best fit.
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Data Analysis – 50
Answer:
Approximate using points (1, 7) and (8, 35)Y = 4x + 3
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probability - 10There is a 10% chance it will rain on
Saturday and a 30% chance it will rain on Sunday. What percent chance is there that it will rain on both Saturday and
Sunday?
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Probability – 10
Answer:
3%
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Probability - 20
In a shipment of alarm clocks, the probability that one alarm clock is defective is 0.04.
Charlie selects three alarm clocks at random. If he puts each clock back with the rest of the
shipment before selecting the next one, what is the probability that all three alarm clock
would be defective?
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Probability – 20 Answer:
0.000064
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Probability - 30
Stefan rolls a 1-6 number cube and flips a coin. What is the probability he rolls a number less than 5 and that the coin lands on tails? Write
as a percent.
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Inequalities – 30
Answer:
133 %
3
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Probability - 40
A builder has 8 lots available for sale. • 6 lots are greater than one acre
• 2 lots are less than one acreWhat is the probability that the next three lots
sold will be greater than one acre?
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Inequalities – 40
Answer:
27
64
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Inequalities - 50Wade is playing darts. Each dart throw scores a certain
number of points, depending where it lands. A throw that missed the board is worth 0 points. The table
shows the probability of scoring 8, 5, 3, 2, or 0 points on any given throw. If Wade throws two darts what is
the probability his total score will be exactly 10 points?
Score Probability8 0.15 0.23 0.32 0.30 0.1
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Inequalities – 50
Answer:
0.07