2022 Keystone Algebra I Module 2 Sampler

The first six numbers in a pattern are listed below.

-19.2, -18.4, -17.6, -16.8, -16, -15.2

The pattern continues . Which expression could be used to determine the 100th number in the pattern?

• -39.2(100) + 20

• -0.8(100) – 18.4

• 0.8(100) – 20

• 20(100) – 135.2

The table lists all the ordered pairs representing a relation.

What is the domain of the relation?

• {0, 4}

• {1, 2, 3, 5}

• {all real numbers from 0 to 4}

• {all real numbers from 1 to 5}

For a local race, the prize for first place is $250 plus an additional $5 for every person who registers for the race . The equation shown below represents the prize (y), in dollars, for first place based on the number of people (x) who register for the race.

y = 5x + 250

Which statement about the prize for first place is true?

• The prize for first place will always be a multiple of 50

• The prize for first place will be $325 if 75 people register for the race.

• The prize for first place when there are 50 people registered for the race is twice as much as when there are 25 people registered.

• The prize for first place when there are 100 people registered for the race is twice as much as when there are 25 people registered.

The equation 3x + y = 8 describes a function of x . Which graph represents the function?  

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Paul paints houses . He charges his customers a fixed amount to cover the expenses of using a paint sprayer and buying brushes . He also charges an amount based on the number of gallons of paint (x) he will need . The equation shown below represents the total amount (y), in dollars, Paul charges his customers for the materials he will need for a job.

y = 14.5x + 80

What is represented by the number 14 .5 in Paul’s equation?

• the number of gallons of paint Paul will need

• the charge for each gallon of paint Paul will need

• the number of hours it will take to complete the paint job

• the fixed amount charged for using a paint sprayer and buying brushes

What is the equation of the line that passes through the points (ˉ2, 4) and (6, 2)?

• y = 0.25x + 4 .5

• y = 0.25x + 0 .5

• y = -0.25x + 14

• y = -0.25x + 3 .5

A line is graphed on the coordinate plane shown.

Which statement correctly describes the line?

• The line has a slope of –2 and a y-intercept of –4.

• The line has a slope of –2 and a y-intercept of –2.

• The line has a slope of –__ 1 2 and a y-intercept of –4.

• The line has a slope of –__ 1 2 and a y-intercept of –2 .

Jessie lifts dumbbells as part of her exercise routine . The scatter plot shows the relationship between the number of pounds (x) a dumbbell weighs and the number of repetitions (y) of a specific exercise that Jessie can perform.

Based on the scatter plot, which equation represents a line of best fit that could be used to model the relationship between the weights of the dumbbells and the numbers of repetitions that Jessie can perform?

• y = ˉ0 .8x + 30

• y = -1 .5x + 50

• y = -2 .8x + 73

• y = -3 .5x + 52

The list below represents the number of novels written by each of Amir’s 10 favorite authors .

1   3   3   4   5   7   8   10   12   23

What is the interquartile range of the number of novels written by each of Amir’s 10 favorite authors?

• 3

• 6

• 7

• 22

Dion has two bunches of similar bananas . One bunch has 8 bananas, and the other bunch has 9 bananas . The list below shows the weight, in grams, of each of the bananas in the bunch of 8 .

138   118   121   164   140   115   129   123

Which measurement is most likely closest to the total weight of the bunch of 9 bananas?

• 932 grams

• 1,048 grams

• 1,179 grams

• 1,368 grams