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**Keystone Review- Module #2**

Created by Educational Technology Network

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**Functions Slope/Rate of change Data Analysis 10 20 30 40 50**

Linear Equations Data Analysis Probability 10 20 30 40 50

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**What is the domain of the relation graphed below?**

Functions-10 points What is the domain of the relation graphed below? (-5,5) (1,2) (-4,-2) (5,-3)

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Functions- 10 points Answer:

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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 Y 7 -2 -3 9 -4

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**Functions- 20 points Function, Domain does not repeat.**

Answer: Function, Domain does not repeat. Not a Function, Vertical line test fails.

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Functions- 30 points Jazmin 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 haircut costs $30, and station rent is $45 A haircut costs $45, and station rent is $30 Jazmin must do 30 haircuts to pay the $45 rental fee Jazmin deducts $30 from each $45 haircut for the station rent.

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**Answer: B. A haircut costs $45, and station rent is $30**

Functions- 30 points Answer: B. A haircut costs $45, and station rent is $30

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Functions- 40 points Justin 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:

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**State the domain and range for the following graph.**

Functions- 50 points State the domain and range for the following graph.

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Functions- 50 points Answer: Domain: Range:

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**Find the slope of a line containing the points: (-4, 7) and (3, -5)**

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Slope – 10 Answer:

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Slope - 20 A 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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**What does the number 0.75 represent in the equation?**

Slope - 30 A 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? The length of time in hours the storm lasted The inches of snow that fell per hour during the storm The inches of snow on the ground after 3/4 of an hour The inches of snow on the ground at the beginning of the storm

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**Answer: B. The inches of snow that fell per hour during the storm**

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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**What is the slope of a line perpendicular to this equation:**

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Real Numbers– 50 Answer:

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**What is the slope and y-intercept of the following equation?**

Linear Equations - 10 What is the slope and y-intercept of the following equation?

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**Answer: Slope: -3 Y-intercept: 3**

Linear Equations – 10 Answer: Slope: -3 Y-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)? 2x + y = 3 x + 2y = 6 2x + y = 0 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? 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 - 40 Ashley 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 - 50 Neil 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- 10 The stem and leaf plot below shows the length, in minutes, of each movie playing at the local theater complex this week. Find the median. 8 9 10 11 12 13 0 8 3

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Data Analysis – 10 Answer: Median = 113.5

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Data Analysis - 20 The 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. 8 9 10 11 12 13 8 0 8 3

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**Answer: Lower Quartile = 98 **

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 - 40 The 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? $2, B. $2, 199 C. $3, D. $3, 859

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Data Analysis – 40 Answer: C. $3, 799

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**Write an approximate equation of the line of best fit.**

Data Analysis - 50 Write an approximate equation of the line of best fit.

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**Answer: Approximate using points (1, 7) and (8, 35) Y = 4x + 3**

Data Analysis – 50 Answer: Approximate using points (1, 7) and (8, 35) Y = 4x + 3

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probability - 10 There 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 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:

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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:

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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 acre What is the probability that the next three lots sold will be greater than one acre?

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Inequalities – 40 Answer:

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Inequalities - 50 Wade 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 Probability 8 0.1 5 0.2 3 0.3 2

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Inequalities – 50 Answer: 0.07

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