Chapter 2
Linear Equations
Linear Equations Practice Set
DIRECTIONS: Keep a calculator handy as you work through this practice set, but reserve it for those questions that
have a calculator icon next to them-and even on those questions, use it only if you really need it. Questions without
the icon are intended to be done without a calculator, to help you prepare for the no-calculator section of the SAT.
1.
If a= }band b = 24, what is the value of 7a
A)
5
B)
29
C)
56
D)
64
+ B?
4. Based on the equation above, what is the value of
5x+ 1?
2. If 4x + 5 is 4 less than 10, what is the value of 2x ?
A)
B)
C)
¾(Bx + 12) + 5 = Bx + 12
1
4
1
2
4
D) B
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5. A line that passes through the origin in the xy-plane
has a slope of Which of the following is a point
on the line?
i
A)
(-14, -6)
B)
(-6, -14)
C)
(-6, 14)
D)
(14, 6)
3. In the xy-plane above, a point (not shown) with
coordinates ( a, b) lies on the graph of the linear
function h. If a and b are positive integers, what is
the ratio of a to b ?
A)
2:3
B)
3:2
C)
5:6
D) 6:5
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Chapter 2
Linear Equations
6. Sara is waiting in line to ride the amusement park's
newest roller coaster. The number of people in
front of her can be represented by the equation
P = 34 - 2m, where P is the number of people in
front of her and m is the number of minutes Sara
has waited in line. What is the meaning of the value
34 in this equation?
A)
7.
=
240 + 1.2d
9. The weight of a flask containing a solution can be
modeled by the equation above, where w is the
g
Sara will reach the front of the line within
34 minutes.
weig~t in grams ~nd d is the number of drops of
solution that are m the flask. What is d when w
is 300?
A)
50
B)
120
B)
Sara started with 34 people in front of her.
C)
276
C)
Sara moves up in the line at a rate of 34 people
per hour.
D)
600
D)
Sara moves up in the line at a rate of 34 people
per minute.
If Id -
91 + 5 = 11, what is a possible value of d?
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8. A line passes through the origin and points ( -4, c)
and (c, -9). What is one possible value of c ?
hfl:; :
16
w
C)
9
D)
12
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10. For some value b, which of the following
expressions is equal to - 2 ?
g
A)
lb-21-2
B)
lb-21 +2
C)
lb+ 21 - 1
12 - bl+ 1
D)
11. Sunjay is traveling to a national park. The number
of miles he needs to travel can be represented by
the equation M = 172 - 57h, where Mis the the
number of miles to the national park and h is
the number of hours Sunjay has to travel. What is
the meaning of the value 57 in this equation?
A)
Sunjay started at a distance 57 miles from the
national park.
B)
Sunjay will reach the national park in 57
hours.
C)
Sunjay travels to the national park at a rate of
57 miles per hour.
D)
Sunjay has traveled 172 miles in 57 hours.
Chapter 2
Linear Equations
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14. Julius has budgeted $150 per month for electricity.
Last month his electricity bill was $190 based on a
rate of $0.12 per kilowatt hour. Which of the
equations below represents the number of
kilowatt hours, k, by which Julius needs to reduce
his electricity usage this month in order to meet his
budget?
Ji'-
~v
B
~/
v
fA
_,__
,J
I
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-
0
r-= 7
-
I ,,.
r
X
A)
(
-
B)
C)
.
:c,
'7
I
,~
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figure above?
=
A)
y
B)
y = -2x
C)
D)
k
12
=
40
= 40
=
0.12k =
0.12k
40
150
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12. What is the equation of the line connecting the
midpoint of line segment AB with point C in the
g
D)
k
0.12
-2x - 2
+5
y = jx + 6
y = 2x -2
jx -
15. The line with the equation
~y = 2 is graphed
in the xy-plane. What is the x-coordinate of the
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x-intercept of the line?
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13. Line y = mx + 5 passes through point (a, b), where
a 7- 0 and b 7- 0. If m is a constant, what is the slope
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of the line in terms of a and b ?
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b-5
a
B)
a-5
- b-
C)
5-b
a
D)
5-a
-b-
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Chapter 2
Linear Equations
16. A factory produces parts on two eight-hour shifts
per day. Each shift produces the parts at a different,
but constant, rate. The number of parts produced by
each shift are added to obtain a cumulative total for
the day. If the cumulative number of parts produced
by the end of two hours of the second shift was 320
and the cumulative number produced by the end of
five hours of the second shift was 440, how many
parts per hour did the first shift produce?
g
A)
30
B)
40
C)
70
D)
240
18. Last week, Kimmy practiced piano p minutes each
day for 5 days, and Carl practiced cello c minutes
each day for 6 days. Which of the following represents the total number of minutes Kimmy and Carl
practiced their instruments last week?
g
,,-.._
en
150
..__,,
V
g 100
~
llpc
B)
30pc
C)
Sp+ 6c
D)
6p + Sc
19. The total inventory of a certain automobile dealer
consists of! sport utility vehicles, ¼pickup trucks,
Distance Traveled per Hour
]
A)
- - - - l ' - - - - - + - --JC-- - i - - - - - 1 - - - - - - l
i sedans, and 26 vehicles that are not one of these
three types. How many vehicles are in the dealer's
inventory?
A)
50
B)
80
C)
120
D)
160
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2
3
4
5
Time (hours)
17. In the graph above, what is the speed, to the nearest
5 miles per hour, between 1 and 2 hours?
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20. The.number of members that joined the Spanish
club between 2000 and 2010 is twice the number of
members who joined between 1990 and 2000. If 17
members joined the Spanish club between 1990 and
2000 and m members joined between 2000 and
2010, which of the following equations is true?
g
A)
17m=2
B)
2m = 17
C)
m
+2=
17
D) !11.=
2
17