
Question ID: 002dba45
Assessment Test Domain Skill Difficulty
SAT Math Algebra Linear equations in two
variables
Medium
Question
Line is defined by . Line is perpendicular to line in the xy-plane. What is the slope of line ?

Question ID: 3008cfc3
Assessment Test Domain Skill Difficulty
SAT Math Algebra Linear equations in two
variables
Hard
Question
The table gives the coordinates of two points on a line in the xy-plane. The y-intercept of the line is , where and are constants. What
is the value of ?

Question ID: 3cdbf026
Assessment Test Domain Skill Difficulty
SAT Math Algebra Linear equations in two
variables
Hard
Question
The graph of the equation is a line in the xy-plane, where a and k are constants. If the line contains the points and
, what is the value of k ?
Answer
A.
B.
C. 2
D. 3

Question ID: 9bbce683
Assessment Test Domain Skill Difficulty
SAT Math Algebra Linear equations in two
variables
Hard
Question
For line , the table shows three values of and their corresponding values of . Line is the result of translating line down units in the xy-
plane. What is the x-intercept of line ?
Answer
A.
B.
C.
D.

Question ID: db422e7f
Assessment Test Domain Skill Difficulty
SAT Math Algebra Linear equations in two
variables
Hard
Question
Line is defined by . Line is perpendicular to line in the xy-plane. What is the slope of line ?

Question ID: 9b0a4eae
Assessment Test Domain Skill Difficulty
SAT Math Algebra Linear equations in two
variables
Medium
Question
The graph in the xy-plane models the possible combinations of length , , and width , in meters, for a rectangle with a perimeter
of . Which statement is the best interpretation of the point in this context?
Answer
A. The length is less than the perimeter, and the width is less than the perimeter.
B. The length is , and the width is .
C. The length is , and the width is .
D. The length is less than the perimeter, and the width is less than the perimeter.

Question ID: 83f2c3bf
Assessment Test Domain Skill Difficulty
SAT Math Algebra Linear equations in two
variables
Easy
Question
Which table gives three values of and their corresponding values of for the given equation?
Answer
A.
B.
C.
D.

Question ID: 1087f6c4
Assessment Test Domain Skill Difficulty
SAT Math Algebra Linear equations in two
variables
Medium
Question
Isabel ordered topsoil and crushed stone, which cost a total of , for her garden. The given equation represents the relationship between the
number of cubic yards of topsoil, , and the number of tons of crushed stone, , Isabel ordered. How much more, in dollars, did a ton of crushed
stone cost Isabel than a cubic yard of topsoil?

Question ID: 4d8ccb96
Assessment Test Domain Skill Difficulty
SAT Math Algebra Linear equations in two
variables
Easy
Question
A chemist studying the impact of salt on a process mixes kilograms of a low-salt mixture, which is salt by weight, with kilograms of a
high-salt mixture, which is salt by weight, to create kilograms of a mixture that is salt by weight. Which equation represents this
situation?
Answer
A.
B.
C.
D.

Question ID: b23bba4c
Assessment Test Domain Skill Difficulty
SAT Math Algebra Linear equations in two
variables
Easy
Question
A shipping company charged a customer $25 to ship some small boxes and some large boxes. The equation above represents the relationship
between a, the number of small boxes, and b, the number of large boxes, the customer had shipped. If the customer had 3 small boxes shipped,
how many large boxes were shipped?
Answer
A. 3
B. 4
C. 5
D. 6

Question ID: 87322577
Assessment Test Domain Skill Difficulty
SAT Math Algebra Linear equations in two
variables
Easy
Question
The equation above relates the number of minutes,x, Maria spends running each day and the number of minutes, y, she spends biking each day.
In the equation, what does the number 75 represent?
Answer
A. The number of minutes spent running each day
B. The number of minutes spent biking each day
C. The total number of minutes spent running and biking each day
D. The number of minutes spent biking for each minute spent running

Question ID: 7625073d
Assessment Test Domain Skill Difficulty
SAT Math Algebra Linear equations in two
variables
Medium
Question
The equation represents the number of blue tiles, , and the number of green tiles, , an artist needs for an -square-inch tile
project. The artist needs blue tiles for the project. How many green tiles does he need?

Question ID: 9f3cb472
Assessment Test Domain Skill Difficulty
SAT Math Algebra Linear equations in two
variables
Medium
Question
Line in the xy-plane has a slope of and passes through the point . Which equation defines line ?
Answer
A.
B.
C.
D.

Question ID: d7c8ba0b
Assessment Test Domain Skill Difficulty
SAT Math Algebra Linear equations in two
variables
Medium
Question
In the xy-plane, line passes through the points and . Which equation defines line ?
Answer
A.
B.
C.
D.

Question ID: 6fa1dc0f
Assessment Test Domain Skill Difficulty
SAT Math Algebra Linear equations in two
variables
Easy
Question
Line in the xy-plane has a slope of and passes through the point . Which equation defines line ?
Answer
A.
B.
C.
D.

Question ID: c6b151d4
Assessment Test Domain Skill Difficulty
SAT Math Algebra Linear equations in two
variables
Easy
Question
A total of paper straws of equal length were used to construct two types of polygons: triangles and rectangles. The triangles and rectangles
were constructed so that no two polygons had a common side. The equation represents this situation, where is the number of
triangles constructed and is the number of rectangles constructed. What is the best interpretation of in this context?
Answer
A. If triangles were constructed, then rectangles were constructed.
B. If triangles were constructed, then paper straws were used.
C. If triangles were constructed, then rectangles were constructed.
D. If triangles were constructed, then paper straws were used.

Question ID: 99ea3715
Assessment Test Domain Skill Difficulty
SAT Math Algebra Linear equations in two
variables
Medium
Question
If the graph of is shifted down units in the xy-plane, what is the y-intercept of the resulting graph?
Answer
A.
B.
C.
D.

Question ID: 8c98c834
Assessment Test Domain Skill Difficulty
SAT Math Algebra Linear equations in two
variables
Easy
Question
The equation models the relationship between the number of different pieces of music acertain pianist practices, y, during an x-
minute practice session. How many pieces did the pianist practice if the session lasted 30minutes?
Answer
A. 1
B. 3
C. 10
D. 30

Question ID: fdee0fbf
Assessment Test Domain Skill Difficulty
SAT Math Algebra Linear equations in two
variables
Hard
Question
In the xy-plane, line k intersects the y-axis at the point and passes through the point . If the point lies on line k, what is
the value of w ?

Question ID: b2845d88
Assessment Test Domain Skill Difficulty
SAT Math Algebra Linear equations in two
variables
Easy
Question
Which of the following is an equation of the graph shown in the xy-plane above?
Answer
A.
B.
C.
D.

Question ID: 9aaf7786
Assessment Test Domain Skill Difficulty
SAT Math Algebra Linear equations in two
variables
Hard
Question
In the xy-plane, line has a slope of and an x-intercept of . What is the y-coordinate of the y-intercept of line ?

Question ID: 9c7741c6
Assessment Test Domain Skill Difficulty
SAT Math Algebra Linear equations in two
variables
Medium
Question
On a 210-mile trip, Cameron drove at an average speed of 60 miles per hour for the first x hours. He then completed the trip, driving at an average
speed of 50 miles per hour for the remaining y hours. If , what is the value of y ?

Question ID: bbb0359a
Assessment Test Domain Skill Difficulty
SAT Math Algebra Linear equations in two
variables
Medium
Question
The table shows three values of and their corresponding values of . Which equation represents the linear relationship between and ?
Answer
A.
B.
C.
D.

Question ID: 606cdce7
Assessment Test Domain Skill Difficulty
SAT Math Algebra Linear equations in two
variables
Medium
Question
The table shows four values of and their corresponding values of . There is a linear relationship between and . Which of the following
equations represents this relationship?
Answer
A.
B.
C.
D.

Question ID: b9835972
Assessment Test Domain Skill Difficulty
SAT Math Algebra Linear equations in two
variables
Hard
Question
In the xy-plane, line passes through the point and is parallel to the line represented by the equation . If line also passes
through the point , what is the value of ?

Question ID: e0f59119
Assessment Test Domain Skill Difficulty
SAT Math Algebra Linear equations in two
variables
Medium
Question
What is the slope of the graph of
in thexy
-plane?

Question ID: 05bb1af9
Assessment Test Domain Skill Difficulty
SAT Math Algebra Linear equations in two
variables
Hard
Question
The graph of is shown. Which equation defines function ?
Answer
A.
B.
C.
D.

Question ID: c307283c
Assessment Test Domain Skill Difficulty
SAT Math Algebra Linear equations in two
variables
Medium
Question
What is an equation of the graph shown?
Answer
A.
B.
C.
D.

Question ID: 8adf1335
Assessment Test Domain Skill Difficulty
SAT Math Algebra Linear equations in two
variables
Easy
Question
A city’s total expense budget for one year was xmilliondollars. The city budgeted ymilliondollars for departmental expenses and
201milliondollars for all other expenses. Which of the following represents the relationship between x and y in this context?
Answer
A.
B.
C.
D.

Question ID: 0b46bad5
Assessment Test Domain Skill Difficulty
SAT Math Algebra Linear equations in two
variables
Hard
Question
In the equation above, a and b are constants and . Which of the following could represent the graph of the equation in the xy-plane?
Answer
A.
B.
C.
D.

Question ID: e7343559
Assessment Test Domain Skill Difficulty
SAT Math Algebra Linear equations in two
variables
Easy
Question
Which table gives three values of and their corresponding values of for the given equation?
Answer
A.
B.
C.
D.

Question ID: c362c210
Assessment Test Domain Skill Difficulty
SAT Math Algebra Linear equations in two
variables
Hard
Question
The points plotted in the coordinate plane above represent the possible numbers of wallflowers and cornflowers that someone can buy at the
Garden Store in order to spend exactly $24.00 total on the two types of flowers. The price of each wallflower is the same and the price of each
cornflower is the same. What is the price, in dollars, of 1 cornflower?

Question ID: 94b48cbf
Assessment Test Domain Skill Difficulty
SAT Math Algebra Linear equations in two
variables
Hard
Question
The graph of in the -plane has an -intercept at and a -intercept at , where and are constants. What is the
value of ?
Answer
A.
B.
C.
D.

Question ID: dd797fe2
Assessment Test Domain Skill Difficulty
SAT Math Algebra Linear equations in two
variables
Easy
Question
Mario purchased 4 binders that cost x dollars each and 3 notebooks that cost y dollars each. If the given equation represents this situation,
which of the following is the best interpretation of 24 in this context?
Answer
A. The total cost, in dollars, for all binders purchased
B. The total cost, in dollars, for all notebooks purchased
C. The total cost, in dollars, for all binders and notebooks purchased
D. The difference in the total cost, in dollars, between the number of binders and notebooks purchased

Question ID: df78b361
Assessment Test Domain Skill Difficulty
SAT Math Algebra Linear equations in two
variables
Medium
Question
Lily made cups of jam. Lily then filled small containers and large containers with all the jam she made. The equation
represents this situation. Which is the best interpretation of in this context?
Answer
A. The number of large containers Lily filled
B. The number of small containers Lily filled
C. The total number of cups of jam in the large containers
D. The total number of cups of jam in the small containers

Question ID: 789975b7
Assessment Test Domain Skill Difficulty
SAT Math Algebra Linear equations in two
variables
Easy
Question
A gardener buys two kinds of fertilizer. FertilizerA contains 60%filler materials by weight and FertilizerB contains 40%filler materials by weight.
Together, the fertilizers bought by the gardener contain a total of 240pounds of filler materials. Which equation models this relationship, where x
is the number of pounds of FertilizerA and y is the number of pounds of FertilizerB?
Answer
A.
B.
C.
D.

Question ID: cea27ab2
Assessment Test Domain Skill Difficulty
SAT Math Algebra Linear equations in two
variables
Easy
Question
For the given equation, which table gives three values of and their corresponding values of ?
Answer
A.
B.
C.
D.

Question ID: 0d1b1e35
Assessment Test Domain Skill Difficulty
SAT Math Algebra Linear equations in two
variables
Medium
Question
A batch of banana milkshakes consists of cups of ice cream and bananas and has of calcium. There is of
calcium in cup of the ice cream used to make this batch of milkshakes. How much calcium, , is in banana?
Answer
A.
B.
C.
D.

Question ID: 2554b413
Assessment Test Domain Skill Difficulty
SAT Math Algebra Linear equations in two
variables
Easy
Question
In the xy-plane, a line has a slope of 6 and passes through the point . Which of the following is an equation of this line?
Answer
A.
B.
C.
D.

Question ID: d62ad380
Assessment Test Domain Skill Difficulty
SAT Math Algebra Linear equations in two
variables
Medium
Question
An artist paints and sells square tiles. The selling price P, in dollars, of a painted tile is a linear function of the side length of the tile s, in inches, as
shown in the table below.
Side length, s (inches) Price, P (dollars)
3 8.00
6 18.00
9 28.00
Which of the following could define the relationship between s and P ?
Answer
A.
B.
C.
D.

Question ID: ba79f10f
Assessment Test Domain Skill Difficulty
SAT Math Algebra Linear equations in two
variables
Easy
Question
The table shows three values of and their corresponding values of . There is a linear relationship between and . Which of the following
equations represents this relationship?
Answer
A.
B.
C.
D.

Question ID: 98d3393a
Assessment Test Domain Skill Difficulty
SAT Math Algebra Linear equations in two
variables
Hard
Question
Line in the xy-plane is perpendicular to the line with equation . What is the slope of line ?
Answer
A. 0
B.
C.
D. The slope of line is undefined.

Question ID: dfa45424
Assessment Test Domain Skill Difficulty
SAT Math Algebra Linear equations in two
variables
Easy
Question
Tony spends $80 per month on public transportation. A 10-ride pass costs $12.50, and a single-ride pass costs $1.50. If g represents the number
of 10-ride passes Tony buys in a month and t represents the number of single-ride passes Tony buys in a month, which of the following
equations best represents the relationship between g and t ?
Answer
A.
B.
C.
D.

Question ID: 431c3038
Assessment Test Domain Skill Difficulty
SAT Math Algebra Linear equations in two
variables
Medium
Question
In an article about exercise, it is estimated that a
160-pound adult uses 200 calories for every 30
minutes of hiking and 150 calories for every
30
minutes of bicycling. An adult who weighs 160
pounds has completed 1
hour of bicycling. Based on the article, how many hours should the
adult hike to use a total of 1,900
calories from bicycling and hiking?
Answer
A. 9.5
B. 8.75
C. 6
D. 4

Question ID: cc3e9528
Assessment Test Domain Skill Difficulty
SAT Math Algebra Linear equations in two
variables
Hard
Question
The graph of is translated down units in the xy-plane. What is the x-coordinate of the x-intercept of the resulting graph?

Question ID: 265f2a53
Assessment Test Domain Skill Difficulty
SAT Math Algebra Linear equations in two
variables
Medium
Question
When line is graphed in the xy-plane, it has an x-intercept of and a y-intercept of . What is the slope of line ?
Answer
A.
B.
C.
D.

Question ID: 0366d965
Assessment Test Domain Skill Difficulty
SAT Math Algebra Linear equations in two
variables
Hard
Question
x y
3 7
k 11
12 n
The table above shows the coordinates of three points on a line in the xy-plane, where k and n are constants. If the slope of the line is 2, what is
the value of ?

Question ID: 10c448d6
Assessment Test Domain Skill Difficulty
SAT Math Algebra Linear equations in two
variables
Easy
Question
A line in thexy
-plane has a slope of and passes through the point
. Which equation represents this line?
Answer
A.
B.
C.
D.

Question ID: 4acd05cd
Assessment Test Domain Skill Difficulty
SAT Math Algebra Linear equations in two
variables
Easy
Question
The graph shows the linear relationship between and . Which table gives three values of and their corresponding values of for this
relationship?
Answer
A.
B.
C.
D.

Question ID: 6d8ad460
Assessment Test Domain Skill Difficulty
SAT Math Algebra Linear equations in two
variables
Hard
Question
Line is shown in the xy-plane. Line (not shown) is perpendicular to line . What is the slope of line ?

Question ID: b2de69bd
Assessment Test Domain Skill Difficulty
SAT Math Algebra Linear equations in two
variables
Easy
Question
x y
1 5
2 7
3 9
4 11
The table above shows some pairs of x values andyvalues. Which of the following equations could represent the relationship between x and y ?
Answer
A.
B.
C.
D.

Question ID: 2d54c272
Assessment Test Domain Skill Difficulty
SAT Math Algebra Linear equations in two
variables
Hard
Question
At a school fair, students can win colored tokens that are worth a different number of points depending on the color. One student won green
tokens and red tokens worth a total of points. The given equation represents this situation. How many more points is a red token worth
than a green token?

Question ID: c39dbbdf
Assessment Test Domain Skill Difficulty
SAT Math Algebra Linear equations in two
variables
Medium
Question
Line is defined by the equation . Line is parallel to line in the xy-plane. What is the slope of line ?
Answer
A.
B.
C.
D.

Question ID: ca452900
Assessment Test Domain Skill Difficulty
SAT Math Algebra Linear equations in two
variables
Medium
Question
What is the slope of the graph of in the xy-plane?

Question ID: c4ea43ef
Assessment Test Domain Skill Difficulty
SAT Math Algebra Linear equations in two
variables
Hard
Question
To earn money for college, Avery works two part-time jobs: A and B. She earns $10 per hour working at job A and $20 per hour working at job B.
In one week, Avery earned a total of s dollars for working at the two part-time jobs. The graph above represents all possible combinations of
numbers of hours Avery could have worked at the two jobs to earn s dollars. What is the value of s ?
Answer
A. 128
B. 160
C. 200
D. 320

Question ID: 029c2dc2
Assessment Test Domain Skill Difficulty
SAT Math Algebra Linear equations in two
variables
Easy
Question
A teacher is creating an assignment worth points. The assignment will consist of questions worth point and questions worth points.
Which equation represents this situation, where represents the number of -point questions and represents the number of -point questions?
Answer
A.
B.
C.
D.

Question ID: 2e1a7f66
Assessment Test Domain Skill Difficulty
SAT Math Algebra Linear equations in two
variables
Medium
Question
Figure A and figure B are both regular polygons. The sum of the perimeter of figure A and the perimeter of figure B is inches. The equation
represents this situation, where is the number of sides of figure A and is the number of sides of figure B. Which statement is
the best interpretation of in this context?
Answer
A. Each side of figure B has a length of inches.
B. The number of sides of figure B is .
C. Each side of figure A has a length of inches.
D. The number of sides of figure A is .

Question ID: 1efd8202
Assessment Test Domain Skill Difficulty
SAT Math Algebra Linear equations in two
variables
Easy
Question
Which table gives three values of and their corresponding values of for the given equation?
Answer
A.
B.
C.
D.

Question ID: cb58833c
Assessment Test Domain Skill Difficulty
SAT Math Algebra Linear equations in two
variables
Hard
Question
The line with the equation is graphed in the xy‑plane. What is the x-coordinate of the x‑intercept of the line?

Question ID: ed856e9c
Assessment Test Domain Skill Difficulty
SAT Math Algebra Linear equations in two
variables
Easy
Question
What is the y-intercept of the graph of in the xy-plane?
Answer
A.
B.
C.
D.

Question ID: eeebe166
Assessment Test Domain Skill Difficulty
SAT Math Algebra Linear equations in two
variables
Easy
Question
What is they
-intercept of the line graphed?
Answer
A.
B.
C.
D.

Question ID: b9839f9e
Assessment Test Domain Skill Difficulty
SAT Math Algebra Linear equations in two
variables
Easy
Question
In the equation above, F represents the total amount of money, in dollars, a food truck charges for x drinks and y salads. The price, in dollars, of
each drink is the same, and the price, in dollars, of each salad is the same. Which of the following is the best interpretation for the number 7.00 in
this context?
Answer
A. The price, in dollars, of one drink
B. The price, in dollars, of one salad
C. The number of drinks bought during the day
D. The number of salads bought during the day

Question ID: a7a14e87
Assessment Test Domain Skill Difficulty
SAT Math Algebra Linear equations in two
variables
Hard
Question
In the xy-plane, line k is defined by . Line j is perpendicular to line k, and the y-intercept of line j is . Which of the following is an
equation of line j ?
Answer
A.
B.
C.
D.

Question ID: 1fe778dc
Assessment Test Domain Skill Difficulty
SAT Math Algebra Linear equations in two
variables
Easy
Question
A line in thexy
-plane has a slope of and passes through the point
. Which equation represents this line?
Answer
A.
B.
C.
D.

Question ID: 6f6dfe3e
Assessment Test Domain Skill Difficulty
SAT Math Algebra Linear equations in two
variables
Medium
Question
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?
Answer
A.
B.
C.
D.

Question ID: 39617468
Assessment Test Domain Skill Difficulty
SAT Math Algebra Linear equations in two
variables
Easy
Question
The given equation relates the total number of maple trees, , and the total number of birch trees, , planted in a -acre forest preserve. If
maple trees were planted in the forest preserve, how many birch trees were planted in the forest preserve?
Answer
A.
B.
C.
D.

Question ID: 038d87d7
Assessment Test Domain Skill Difficulty
SAT Math Algebra Linear equations in two
variables
Medium
Question
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?
Answer
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: 8da536c6
Assessment Test Domain Skill Difficulty
SAT Math Algebra Linear equations in two
variables
Easy
Question
In , a swim club had a total of swimmers, each classified as either advanced or intermediate. From to , the number of
advanced swimmers in the club increased by approximately , and the number of intermediate swimmers in the club increased by
approximately . The total number of swimmers in the club increased by approximately . Which equation best represents this situation,
where represents the number of advanced swimmers in the club in and represents the number of intermediate swimmers in the club in
?
Answer
A.
B.
C.
D.

Question ID: a1fd2304
Assessment Test Domain Skill Difficulty
SAT Math Algebra Linear equations in two
variables
Hard
Question
How many liters of a 25% saline solution must be added to 3 liters of a 10% saline solution to obtain a 15% saline solution?

Question ID: 9ed4c1a2
Assessment Test Domain Skill Difficulty
SAT Math Algebra Linear equations in two
variables
Medium
Question
What is the slope of the graph of
in thexy
-plane?

Question ID: fb43b85f
Assessment Test Domain Skill Difficulty
SAT Math Algebra Linear equations in two
variables
Medium
Question
A line passes through the points and in the xy-plane. What is the slope of the line?

Question ID: f40552a9
Assessment Test Domain Skill Difficulty
SAT Math Algebra Linear equations in two
variables
Easy
Question
What is they
-intercept of the line graphed?
Answer
A.
B.
C.
D.

Question ID: a4989860
Assessment Test Domain Skill Difficulty
SAT Math Algebra Linear equations in two
variables
Medium
Question
A line in thexy
-plane has a slope of and passes through the point
. The equation defines the line, where and are
constants. What is the value of ?

Question ID: 8b2a2a63
Assessment Test Domain Skill Difficulty
SAT Math Algebra Linear equations in two
variables
Easy
Question
The y-intercept of the graph of in the xy-plane is . What is the value of ?

Question ID: 8a1544f1
Assessment Test Domain Skill Difficulty
SAT Math Algebra Linear equations in two
variables
Easy
Question
What is the equation of the line shown in the xy-plane above?
Answer
A.
B.
C.
D.

Question ID: 49800634
Assessment Test Domain Skill Difficulty
SAT Math Algebra Linear equations in two
variables
Hard
Question
The table shows two values of and their corresponding values of . In the xy-plane, the graph of the linear equation representing this
relationship passes through the point . What is the value of ?
Answer
A.
B.
C.
D.

Question ID: 00b9bd37
Assessment Test Domain Skill Difficulty
SAT Math Algebra Linear equations in two
variables
Medium
Question
20 40 60 80 100
x
10
20
30
40
50
y
O
Number of T-shirts
Number of sweatshirts
The graph models the relationship between the number of T-shirts, , and the number of sweatshirts, , that Kira can purchase for a school
fundraiser. Which equation could represent this relationship?
Answer
A.
B.
C.
D.