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Section 1 - Chapter 1 Test

The document contains a series of SAT Math questions focused on various algebra topics, including linear equations, inequalities, and functions. Each question is identified by a unique ID and presents a mathematical scenario requiring problem-solving skills. The questions vary in difficulty and cover concepts such as slopes, systems of equations, and real-world applications of algebra.

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ptvhoa2008
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0% found this document useful (0 votes)
24 views30 pages

Section 1 - Chapter 1 Test

The document contains a series of SAT Math questions focused on various algebra topics, including linear equations, inequalities, and functions. Each question is identified by a unique ID and presents a mathematical scenario requiring problem-solving skills. The questions vary in difficulty and cover concepts such as slopes, systems of equations, and real-world applications of algebra.

Uploaded by

ptvhoa2008
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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Question ID 002dba45

Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear equations in


two variables

ID: 002dba45

Line is defined by . Line is perpendicular to line in the xy-plane. What is the slope of line ?
Question ID f224df07
Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear inequalities in


one or two variables

ID: f224df07

A cargo helicopter delivers only 100-pound packages and 120-pound packages.


For each delivery trip, the helicopter must carry at least 10 packages, and the total
weight of the packages can be at most 1,100 pounds. What is the maximum
number of 120-pound packages that the helicopter can carry per trip?

A. 2

B. 4

C. 5

D. 6
Question ID cb8f449f
Assessment Test Domain Skill Difficulty

SAT Math Algebra Systems of two linear


equations in two
variables

ID: cb8f449f

The system of equations above has solution (x,


y). What is the value of x ?

A. 3

B.

C. 4

D. 6
Question ID 548a4929
Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear functions

ID: 548a4929

The function is defined by . The graph of in the xy-plane has an x-intercept at and a y-
intercept at , where and are constants. What is the value of ?

A.

B.

C.

D.
Question ID 948087f2
Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear inequalities in


one or two variables

ID: 948087f2

Which of the following ordered pairs (x, y) satisfies the


system of inequalities above?

A.

B.

C.

D.
Question ID 8c515062
Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear equations in


one variable

ID: 8c515062

A candle is made of ounces of wax. When the candle is burning, the amount of wax in the candle decreases by ounce
every hours. If ounces of wax remain in this candle, for how many hours has it been burning?

A.

B.

C.

D.
Question ID 41fdc0b8
Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear functions

ID: 41fdc0b8

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?

A.

B.

C.

D.
Question ID e53688cb
Assessment Test Domain Skill Difficulty

SAT Math Algebra Systems of two linear


equations in two
variables

ID: e53688cb

The solution to the given system of equations is . What is the value of ?


Question ID d02193fb
Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear inequalities in


one or two variables

ID: d02193fb

The shaded region shown represents the solutions to which inequality?

A.

B.

C.

D.
Question ID 8a6de407
Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear functions

ID: 8a6de407

The function f is defined by , where m and b are constants. If


and , what is the value of m ?
Question ID 3ce92ce8
Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear functions

ID: 3ce92ce8

For the given function , the graph of in the xy-plane is parallel to line . What is the slope of line ?
Question ID eafdbbbd
Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear equations in


one variable

ID: eafdbbbd

What value of is the solution to the given equation?

A.

B.

C.

D.
Question ID fb43b85f
Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear equations in


two variables

ID: fb43b85f

A line passes through the points and in the xy-plane. What is the slope of the line?
Question ID 45bba652
Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear equations in


one variable

ID: 45bba652

If , what is
the value of ?

A. 2

B. 5

C. 7

D. 12
Question ID 9ed4c1a2
Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear equations in


two variables

ID: 9ed4c1a2

What is the slope of the graph of in the xy-plane?


Question ID b544a348
Assessment Test Domain Skill Difficulty

SAT Math Algebra Systems of two linear


equations in two
variables

ID: b544a348

In the solution to the system of equations


above, what is the value of x ?
Question ID f0773a55
Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear functions

ID: f0773a55

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?

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 441558e7
Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear functions

ID: 441558e7

Scientists collected fallen acorns that each housed a colony of the ant species P. ohioensis and analyzed each colony's
structure. For any of these colonies, if the colony has worker ants, the equation , where ,
gives the predicted number of larvae, , in the colony. If one of these colonies has worker ants, which of the following is
closest to the predicted number of larvae in the colony?

A.

B.

C.

D.
Question ID 038d87d7
Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear equations in


two variables

ID: 038d87d7

A neighborhood consists of a -hectare park and a -hectare residential area. The total number of trees in the
neighborhood is . The equation represents this situation. Which of the following is the best
interpretation of x in this context?

A. The average number of trees per hectare in the park

B. The average number of trees per hectare in the residential area

C. The total number of trees in the park

D. The total number of trees in the residential area


Question ID 5ad9eff0
Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear equations in


one variable

ID: 5ad9eff0

The width of a rectangular dance floor is w feet. The length of the floor is 6 feet
longer than its width. Which of the following expresses the perimeter, in feet, of the
dance floor in terms of w ?

A.

B.

C.

D.
Question ID 8f0c82e2
Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear inequalities in


one or two variables

ID: 8f0c82e2

The minimum value of is less than times another number . Which inequality shows the possible values of ?

A.

B.

C.

D.
Question ID 6f6dfe3e
Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear equations in


two variables

ID: 6f6dfe3e

The table shows three values of and their corresponding values of , where is a constant, for the linear relationship
between and . What is the slope of the line that represents this relationship in the xy-plane?

A.

B.

C.

D.
Question ID 90bd9ef8
Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear inequalities in


one or two variables

ID: 90bd9ef8

The average annual energy cost for a certain home is $4,334. The homeowner
plans to spend $25,000 to install a geothermal heating system. The homeowner
estimates that the average annual energy cost will then be $2,712. Which of the
following inequalities can be solved to find t, the number of years after installation
at which the total amount of energy cost savings will exceed the installation cost?

A.

B.

C.

D.
Question ID 686b7cad
Assessment Test Domain Skill Difficulty

SAT Math Algebra Systems of two linear


equations in two
variables

ID: 686b7cad

A proposal for a new library was included on an election ballot. A radio show stated that times as many people voted in
favor of the proposal as people who voted against it. A social media post reported that more people voted in favor of
the proposal than voted against it. Based on these data, how many people voted against the proposal?

A.

B.

C.

D.
Question ID f02b4509
Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear inequalities in


one or two variables

ID: f02b4509

A moving truck can tow a trailer if the combined weight of the trailer and the boxes it contains is no more than
pounds. What is the maximum number of boxes this truck can tow in a trailer with a weight of pounds if each box
weighs pounds?

A.

B.

C.

D.
Question ID 2704399f
Assessment Test Domain Skill Difficulty

SAT Math Algebra Systems of two linear


equations in two
variables

ID: 2704399f

Which of the following systems of equations has the same solution as the
system of equations graphed above?

A.

B.

C.

D.
Question ID 5a7ab8e8
Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear equations in


one variable

ID: 5a7ab8e8

How many solutions does the given equation have?

A. Exactly one

B. Exactly two

C. Infinitely many

D. Zero
Question ID e9ef0e6b
Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear inequalities in


one or two variables

ID: e9ef0e6b

A model estimates that whales from the genus Eschrichtius travel to miles in the ocean each day during their
migration. Based on this model, which inequality represents the estimated total number of miles, , a whale from the genus
Eschrichtius could travel in days of its migration?

A.

B.

C.

D.
Question ID 36ab4122
Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear equations in


one variable

ID: 36ab4122

Megan’s regular wage at her job is p dollars per hour for the first 8 hours of work in
a day plus 1.5 times her regular hourly wage for work in excess of 8 hours that day.
On a given day, Megan worked for 10 hours, and her total earnings for that day
were $137.50. What is Megan’s regular hourly wage?

A. $11.75

B. $12.50

C. $13.25

D. $13.75
Question ID 74c98c82
Assessment Test Domain Skill Difficulty

SAT Math Algebra Linear inequalities in


one or two variables

ID: 74c98c82

An event planner is planning a party. It costs the event planner a onetime fee of to rent the venue and per
attendee. The event planner has a budget of . What is the greatest number of attendees possible without exceeding the
budget?

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