CB 2026 User Manual

Question ID: 2b15d65f

Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear functions Hard

Question

An economist modeled the demand Q for a certain product as a linear function of the selling price P. The demand was 20,000 units when the

selling price was $40 per unit, and the demand was 15,000 units when the selling price was $60 per unit. Based on the model, what is the

demand, in units, when the selling price is $55 per unit?

Answer

A. 16,250

B. 16,500

C. 16,750

D. 17,500

Question ID: e25f0807

Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear functions Hard

Question

The table shows two values of and their corresponding values of . The graph of the linear equation representing this relationship passes

through the point . What is the value of ?

Question ID: be9cb6a2

Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear functions Hard

Question

The cost of renting a backhoe for up to days is for the first day and for each additional day. Which of the following equations

gives the cost , in dollars, of renting the backhoe for days, where is a positive integer and ?

Answer

A.

B.

C.

D.

Question ID: 84664a7c

Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear functions Easy

Question

The front of a roller-coaster car is at the bottom of a hill and is 15 feet above the ground. If the front of the roller-coaster car rises at a constant

rate of 8 feet per second, which of the following equations gives the height h, in feet, of the front of the roller-coaster car s seconds after it starts

up the hill?

Answer

A.

B.

C.

D.

Question ID: e62cfe5f

Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear functions Medium

Question

According to a model, the head width, in millimeters, of a worker bumblebee can be estimated by adding 0.6 to four times the body weight of the

bee, in grams. According to the model, what would be the head width, in millimeters, of a worker bumblebee that has a body weight of 0.5

grams?

Question ID: 7fac16fb

Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear functions Easy

Question

The function is defined by



. What is the value of



?

Question ID: 06fc1726

Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear functions Easy

Question

If f is the function defined by , what is the value of ?

Answer

A.

B.

C. 3

D. 9

Question ID: 7e3f8363

Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear functions Medium

Question

In the xy-plane, the graph of the linear function contains the points and . Which equation defines , where ?

Answer

A.

B.

C.

D.

Question ID: 0eae6be1

Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear functions Easy

Question

The number is less than the number . Which equation represents the relationship between and ?

Answer

A.

B.

C.

D.

Question ID: bf36c815

Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear functions Easy

Question

The function g is defined by . What is the value of ?

Answer

A.

B. 0

C. 4

D. 8

Question ID: 3f5375d9

Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear functions Easy

Question

The line graphed in the xy-plane below models the total cost, in dollars, for a cab ride, y, in a certain city during nonpeak hours based on the

number of miles traveled, x.

According to the graph, what is the cost for each additional mile traveled, in dollars, of a cab ride?

Answer

A. $2.00

B. $2.60

C. $3.00

D. $5.00

Question ID: 620fe971

Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear functions Medium

Question

A team of workers has been moving cargo off of a ship. The equation below models the approximate number of tons of cargo, y, that remains to

be moved x hours after the team started working.

The graph of this equation in the xy-plane is a line. What is the best interpretation of the x-intercept in this context?

Answer

A. The team will have moved all the cargo in about 4.8 hours.

B. The team has been moving about 4.8 tons of cargo per hour.

C. The team has been moving about 25 tons of cargo per hour.

D. The team started with 120 tons of cargo to move.

Question ID: 17d80dc3

Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear functions Medium

Question

In the xy-plane, line has a slope of and a y-intercept of . What is the x-coordinate of the x-intercept of line ?

Question ID: b3abf40f

Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear functions Hard

Question

The function gives the temperature, in degrees Fahrenheit, that corresponds to a temperature of kelvins. If a temperature increased by

kelvins, by how much did the temperature increase, in degrees Fahrenheit?

Answer

A.

B.

C.

D.

Question ID: af711d1b

Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear functions Medium

Question

Distance (kilometers)

Average time

(minutes)

The table gives the average time , in minutes, it takes Carly to travel a certain distance , in kilometers. Which equation could represent this

linear relationship?

Answer

A.

B.

C.

D.

Question ID: 5cf1bbc9

Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear functions Medium

Question

The graph of the function , where , gives the total cost , in dollars, for a certain video game system and games. What is the best

interpretation of the slope of the graph in this context?

Answer

A. Each game costs .

B. The video game system costs .

C. The video game system costs .

D. Each game costs .

Question ID: b988eeec

Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear functions Hard

Question

The functions and are defined as and . If the function is defined as , what is the

x

-coordinate of the x-intercept of the graph of in the xy-plane?

Question ID: af2ba762

Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear functions Hard

Question

According to data provided by the US Department of Energy, the average price per gallon of regular gasoline in the UnitedStates from September

1, 2014, to December 1, 2014, is modeled by the function F defined below, where is the average price per gallon xmonths after September

1.

The constant 2.74 in this function estimates which of the following?

Answer

A. The average monthly decrease in the price per gallon

B. The difference in the average price per gallon from September1,2014, to December1,2014

C. The average price per gallon on September 1, 2014

D. The average price per gallon on December 1, 2014

Question ID: a775af14

Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear functions Medium

Question

In the xy-plane, the graph of the linear function contains the points and . Which equation defines , where ?

Answer

A.

B.

C.

D.

Question ID: dae126d7

Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear functions Medium

Question

The boiling point of water at sea level is 212 degrees Fahrenheit . For every 550 feet above sea level, the boiling point of water is lowered by

about . Which of the following equations can be used to find the boiling point B of water, in , x feet above sea level?

Answer

A.

B.

C.

D.

Question ID: 12983c1e

Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear functions Easy

Question

Some values of the linear function f are shown in the table above. Which of the following defines f ?

Answer

A.

B.

C.

D.

Question ID: 271f7e3f

Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear functions Medium

Question

For the function f defined above, what is the value of ?

Answer

A. 1

B. 2

C.

D.

Question ID: a396ed75

Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear functions Easy

Question

For a training program, Juan rides his bike at an average rate of minutes per mile. Which function models the number of minutes it will

take Juan to ride miles at this rate?

Answer

A.

B.

C.

D.

Question ID: 50f4cb9c

Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear functions Hard

Question

For the linear function , the table shows three values of and their corresponding values of . Function is defined by ,

where and are constants. What is the value of ?

Answer

A.

B.

C.

D.

Question ID: 16889ef3

Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear functions Hard

Question

Oil and gas production in a certain area dropped from 4millionbarrels in 2000 to 1.9millionbarrels in 2013. Assuming that the oil and gas

production decreased at a constant rate, which of the following linear functions f best models the production, in millions of barrels, t years after

the year 2000?

Answer

A.

B.

C.

D.

Question ID: c651cc56

Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear functions Medium

Question

Some values of the linear function f are shown in the table above. What is the value of ?

Answer

A. 6

B. 7

C. 8

D. 9

Question ID: c22b5f25

Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear functions Medium

Question

In the xy-plane, the points and lie on the graph of which of the following linear functions?

Answer

A.

B.

C.

D.

Question ID: 11e1ab81

Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear functions Medium

Question

The graph above shows the distance traveled d, infeet, by a product on a conveyor belt mminutes after the product is placed on the belt. Which

of the following equations correctly relates d and m ?

Answer

A.

B.

C.

D.

Question ID: 4fe4fd7c

Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear functions Medium

Question

A company’s total cost , in dollars, to produce x shirts is given by the function above, where m is a constant and . The total cost to

produce 100 shirts is $800. What is the total cost, in dollars, to produce 1000 shirts? (Disregard the $ sign when gridding your answer.)

Question ID: a309803e

Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear functions Hard

Question

One gallon of paint will cover square feet of a surface. A room has a total wall area of square feet. Which equation represents the total

amount of paint , in gallons, needed to paint the walls of the room twice?

Answer

A.

B.

C.

D.

Question ID: 3462d850

Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear functions Easy

Question

Marisol drove 3 hours from City A to City B. The equation below estimates the distance d, in miles, Marisol traveled after driving for t hours.

Which of the following does 45 represent in the equation?

Answer

A. Marisol took 45 trips from City A to City B.

B. The distance between City A and City B is 45 miles.

C. Marisol drove at an average speed of about 45 miles per hour.

D. It took Marisol 45 hours to drive from City A to City B.

Question ID: 23dedddd

Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear functions Medium

Question

In the linear function , and . Which equation defines ?

Answer

A.

B.

C.

D.

Question ID: a91a2b75

Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear functions Medium

Question

The function is defined by . What is the -coordinate of the -intercept of the graph of in the -plane?

Question ID: 0b0fa68b

Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear functions Hard

Question

For the function , for all values of , where is a positive constant. If , what is the value of ?

Question ID: 6989c80a

Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear functions Hard

Question

The function gives the temperature, in degrees Fahrenheit, that corresponds to a temperature of kelvins. If a temperature increased by

kelvins, by how much did the temperature increase, in degrees Fahrenheit?

Answer

A.

B.

C.

D.

Question ID: 9d9fe1e6

Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear functions Easy

Question

In science class, Diego conducted an experiment to learn about evaporation. Diego measured the height of fluid in a beaker over a period of time.

The function gives the estimated height, , of the fluid in the beaker days after the start of the

experiment. Which of the following is the best interpretation of in this context?

Answer

A. The estimated height, , of the fluid at the start of the experiment

B. The estimated height, , of the fluid at the end of the experiment

C. The estimated change in the height, , of the fluid each day

D. The estimated number of days for all the fluid to evaporate

Question ID: 255996a6

Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear functions Easy

Question

In the equation above, T represents Brittany’s total take-home pay, in dollars, for her first week of work, where h represents the number of hours

she worked that week and 1,000 represents a sign-on bonus. If Brittany’s total take-home pay was $1,576, for how many hours was Brittany paid

for her first week of work?

Answer

A. 16

B. 32

C. 55

D. 88

Question ID: a1696f3e

Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear functions Easy

Question

The function is defined as , where a is a constant. If , what is the value of a ?

Answer

A.

B.

C.

D.

Question ID: 868fc236

Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear functions Medium

Question

The table above gives the typical amounts of energy per gram, expressed in both food calories and kilojoules, of the three macronutrients in

food. If x food calories is equivalent to kkilojoules, of the following, which best represents the relationship between x and k ?

Answer

A.

B.

C.

D.

Question ID: a7e2859a

Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear functions Hard

Question

The cost of renting a large canopy tent for up to days is for the first day and for each additional day. Which of the following

equations gives the cost , in dollars, of renting the tent for days, where is a positive integer and ?

Answer

A.

B.

C.

D.

Question ID: 042aa429

Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear functions Medium

Question

If and , what is the value of ?

Answer

A.

B.

C.

D.

Question ID: de6fe450

Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear functions Easy

Question

On January 1, 2015, a city’s minimum hourly wage was $9.25. It will increase by $0.50 on the first day of the year for the next 5 years. Which of

the following functions best models the minimum hourly wage, in dollars, x years after January 1, 2015, where ?

Answer

A.

B.

C.

D.

Question ID: 78391fcc

Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear functions Hard

Question

x

f(x) 21 18 15 12

The table above shows some values of x and their corresponding values for the linear function f. What is the x-intercept of the graph of

in the xy-plane?

Answer

A.

B.

C.

D.

Question ID: b2fe7ab6

Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear functions Medium

Question

For the linear function , the table shows four values of and their corresponding values of . The function can be written as

, where and are constants. What is the value of ?

Answer

A.

B.

C.

D.

Question ID: 113b938e

Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear functions Medium

Question

The equation above represents the speed y, in feet per second, of Sheila

s bicycle x seconds after she applied the brakes at the end of a ride. If

the equation is graphed in the xy-plane, which of the following is the best interpretation of the x-coordinate of the line

s x-intercept in the context

of the problem?

Answer

A. The speed of Sheila

s bicycle, in feet per second, before Sheila applied the brakes

B. The number of feet per second the speed of Sheila

s bicycle decreased each second after Sheila applied the brakes

C. The number of seconds it took from the time Sheila began applying the brakes until the bicycle came to a complete stop

D. The number of feet Sheila

s bicycle traveled from the time she began applying the brakes until the bicycle came to a complete stop

Question ID: 6efcc0a3

Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear functions Easy

Question

In the linear function ,



and



. Which equation defines ?

Answer

A.

B.

C.

D.

Question ID: 97eab129

Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear functions Easy

Question

Area (square

feet)

Water (gallons)

The buildings of a shopping center are designed to allow water to drain from the roof into gutters on the sides of the buildings. The table shows

the relationship between the area , in square feet, of a roof and the amount of water , in gallons, drained from the roof into the gutters over

a certain period of time. Which equation could define ?

Answer

A.

B.

C.

D.

Question ID: daad7c32

Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear functions Hard

Question

An object hangs from a spring. The formula relates the length , in centimeters, of the spring to the weight w, in newtons, of the

object. Which of the following describes the meaning of the 2 in this context?

Answer

A. The length, in centimeters, of the spring with no weight attached

B. The weight, in newtons, of an object that will stretch the spring 30 centimeters

C. The increase in the weight, in newtons, of the object for each one-centimeter increase in the length of the spring

D. The increase in the length, in centimeters, of the spring for each one-newton increase in the weight of the object

Question ID: 023c0a8d

Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear functions Hard

Question

For the function f, if for all values of x, what is the value of ?

Answer

A.

B.

C. 0

D. 2

Question ID: 2eef7e61

Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear functions Easy

Question

The graph of the function f is a line in the xy-plane. If the line has slope and , which of the following defines f?

Answer

A.

B.

C.

D.

Question ID: f0773a55

Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear functions Medium

Question

The graph represents the total charge, in dollars, by an electrician for hours of work. The electrician charges a onetime fee plus an hourly rate.

What is the best interpretation of the slope of the graph?

Answer

A. The electrician’s hourly rate

B. The electrician’s onetime fee

C. The maximum amount that the electrician charges

D. The total amount that the electrician charges

Question ID: 0ea7ef01

Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear functions Easy

Question

Oxygen gas is placed inside a tank with a constant volume. The graph shows the estimated temperature , in kelvins, of the oxygen gas when its

pressure is atmospheres.

What is the estimated temperature, in kelvins, of the oxygen gas when its pressure is atmospheres?

Answer

A.

B.

C.

D.

Question ID: 1ecaa9c0

Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear functions Easy

Question

Robert rented a truck to transport materials he purchased from a hardware store. He was charged an initial fee of $20.00 plus an additional

$0.70 per mile driven. If the truck was driven 38miles, what was the total amount Robert was charged?

Answer

A. $46.60

B. $52.90

C. $66.90

D. $86.50

Question ID: 0bd33265

Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear functions Hard

Question

The equation



gives the corresponding temperature , in degrees Fahrenheit, of any substance that has a temperature of

kelvins, where . If a substance has a temperature of degrees Fahrenheit, what is the corresponding temperature, in kelvins, of this

substance?

Question ID: 8a6de407

Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear functions Medium

Question

The function f is defined by , where m and b are constants. If and , what is the value of m?

Question ID: 8643d906

Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear functions Easy

Question

The population of snow leopards in a certain area can be modeled by the function P defined above, where is the population t years after

1990. Of the following, which is the best interpretation of the equation ?

Answer

A. The snow leopard population in this area is predicted to be 30 in the year 2020.

B. The snow leopard population in this area is predicted to be 30 in the year 2030.

C. The snow leopard population in this area is predicted to be 550 in the year 2020.

D. The snow leopard population in this area is predicted to be 550 in the year 2030.

Question ID: bbf9e5ce

Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear functions Hard

Question

For groups of or more people, a museum charges per person for the first people and for each additional person. Which function

gives the total charge, in dollars, for a tour group with people, where ?

Answer

A.

B.

C.

D.

Question ID: a4d6fbec

Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear functions Easy

Question

If , what is the value of when ?

Question ID: 41fdc0b8

Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear functions Medium

Question

The table above shows the population of Greenleaf, Idaho, for the years 2000 and 2010. If the relationship between population and year is linear,

which of the following functions P models the population of Greenleaf t years after 2000?

Answer

A.

B.

C.

D.

Question ID: a73a5c22

Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear functions Easy

Question

The function is defined by . What is the value of when ?

Answer

A.

B.

C.

D.

Question ID: 1993561d

Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear functions Easy

Question

For the linear function, the graph of



in the xy-plane has a slope of and passes through the point



. Which equation defines?

Answer

A.

B.

C.

D.

Question ID: a8e6bd75

Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear functions Easy

Question

Which of the following is the graph of the equation



in the xy-plane?

Answer

A.

B.

C.

D.