functions slope/rate of change linear equations data analysis probability 10 20 30 40 50

Keystone Review- Module #2

Functions Slope/Rate of change

Linear Equations

Data Analysis Probability

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Functions-10 points

What is the domain of the relation graphed below?

(-5,5)

(-4,-2)

(1,2)

(5,-3)

Functions- 10 points

Answer:

5, 4,1,5


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


Answer:

A. Function, Domain does not repeat.

B. Not a Function, Vertical line test fails.

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.


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

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


Answer:

560

2c n


State the domain and range for the following graph.


Answer:

Domain:

Range: 0, or y 0

6, or x 6

Slope- 10

Find the slope of a line containing the points:

(-4, 7) and (3, -5)

Slope – 10

Answer:

12

7

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?

Slope – 20

Answer: 10 feet

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

Slope – 30

Answer:B. The inches of snow

that fell per hour during the storm

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

Slope - 40

Answer: $1.50

Slope - 50

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

4 5 10x y

Real Numbers– 50

Answer:

5

4

Linear Equations - 10

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

6 3 1y x

Linear Equations – 10

Answer:

Slope: -3Y-intercept: 3


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


Answer:

B. x + 2y = 6


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

Equations – 30

Answer:

B. x – 3y = 0

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.


Answer:5x + 8y = 240

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.


Answer:Y = -8x + 336

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

Data Analysis – 10

Answer:Median = 113.5

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

Data Analysis– 20

Answer:Lower Quartile = 98

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?


Answer:

22 points

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


Answer:

C. $3, 799

Data Analysis - 50

Write an approximate equation of the line of best fit.


Answer:

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

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?

Probability – 10

Answer:

3%

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?

Probability – 20 Answer:

0.000064

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.

Inequalities – 30

Answer:

133 %

3

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?

Inequalities – 40

Answer:

27

64

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

Inequalities – 50

Answer:

0.07

functions slope/rate of change linear equations data analysis probability 10 20 30 40 50

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