G.
Persamaan Linier 2 Variabel For each real number r, which of the
1. A teacher is creating an assignment worth following points lies on the graph of each
70 points. The assignment will consist of equation in the xy-plane for the given
questions worth 1 point and questions system?
worth 3 points. Which equation represents
this situation, where x represents the
A. ( r5 + 7 ,− r5 + 35)
number of 1-point questions and y
B. ( + , r)
−3 r 7
represents the number of 3-point 2 2
questions?
C. ( r ,
3 3)
2r 7
A. 4 xy=70 +
B. 4 ( x+ y )=70
D. ( r ,− + )
C. 3 x+ y=70 3r 7
D. x +3 y=70 2 2
2. y=−3 x 6. 3 x=12
4 x+ y=15 −3 x+ y=−6
The solution to the given system of The solution to the given system of
equations is (x, y). What is the value of x ? equations is (x , y ). What is the value of y
A. 1 ?
B. 5 A. −3
C. 15 B. 6
D. 45 C. 18
D. 30
3. Vivian bought party hats and cupcakes for
$71. Each package of party hats cost $3, 7. x +7=10
and each cupcake cost $1. If Vivian bought ( x +7 )2= y
10 packages of party hats, how many Which ordered pair (x , y ), is a solution to
cupcakes did she buy? the given system of equations?
Answer : ___________________________ A. ( 3,100 )
B. ( 3 , 3 )
4. A neighborhood consists of a 2-hectare C. ( 3 , 10 )
park and a 35-hectare residential area. The
D. ( 3 , 70 )
total number of trees in the neighborhood
is 3,934. The equation 2 x+35 y =3,934
8. An event planner is planning a party. It
represents this situation. Which of the
costs the event planner a onetime fee of
following is the best interpretation of x in
$35 to rent the venue and $10.25 per
this context?
attendee. The event planner has a budget
A. The average number of trees per
of $200. What is the greatest number of
hectare in the park
attendees possible without exceeding the
B. The average number of trees per
budget?
hectare in the residential area
Answer : ___________________________
C. The total number of trees in the park
D. The total number of trees in the
9. A company that provides whale-watching
residential area
tours takes groups of 21 people at a time.
The company’s revenue is 80 dollars per
5. 2 x+3 y =7
adult and 60 dollars per child. If the
10 x+ 15 y=35
company’s revenue for one group
consisting of adults and children was 1,440 A. −6 x + y=18
dollars, how many people in the group B. −6 x + y=22
were children? C. −12 x+ y=36
A. 3 D. −12 x+ y=18
B. 9
C. 12 14. y=4 x +1
D. 18 4 y=15 x−8
The solution to the given system of
10. Jay walks at a speed of 3 miles per hour equations is (x , y ). What is the value of
and runs at a speed of 5 miles per hour. He x− y ?
walks for w hours and runs for r hours for Answer : ___________________________
a combined total of 14 miles. Which
equation represents this situation? 15. The product of two positive integers is
A. 3 w+ 5 r=14 546. If the first integer is 11 greater than
1 1 twice the second integer, what is the
B. w + r=14
3 5 smaller of the two integers?
1 1 A. 7
C. w + r=112
3 5 B. 14
D. 3 w+ 5 r=112 C. 39
D. 78
11. 5 x=15
−4 x+ y=−2 16. y=3 x
The solution to the given system of 2 x+ y=12
equations is (x , y ) . What is the value of The solution to the given system of
x + y? equations is (x , y ). What is the value of
A. −17 5 x?
B. −13 A. 24
C. 13 B. 15
D. 17 C. 12
D. 5
1 11 x
12. =
7b y 17. 6 x +7 y=28
The given equation relates the positive 2 x+ 2 y =10
numbers b , x , and y . Which equation The solution to the given system of
correctly expresses x in terms of b and y ? equations is (x , y ). What is the value of y
7 by ?
A. x=
11 A. −2
B. x= y −77 b B. 7
y C. 14
C. x=
77 b D. 18
D. x=77 by
3 1 2 3
18. y− x= − y
13. y=6 x +18 2 4 3 2
One of the equations in a system of two 1 3 9
x+ = py +
linear equations is given. The system has 2 2 2
no solution. Which equation could be the
second equation in the system?
In the given system of equations, p is a
constant. If the system has no solution, 23. s+7 r =27
what is the value of p ? r =3
What is the solution (r , s ) to the given
19. A gardener buys two kinds of fertilizer. system of equations?
Fertilizer A contains 60% filler materials by A. ( 6 , 3 )
weight and Fertilizer B contains 40% filler B. ( 3 , 6 )
materials by weight. Together, the C. ( 3 , 27 )
fertilizers bought by the gardener contain a
D. ( 27 , 3 )
total of 240 pounds of filler materials.
Which equation models this relationship,
24. Kaylani used fabric measuring 5 yards in
where x is the number of pounds of
length to make each suit for a men’s choir.
Fertilizer A and y is the number of pounds
The relationship between the number of
of Fertilizer B?
suits that Kaylani made, x , and the total
A. 0.4 x +0.6 y =240
length of fabric that she purchased y , in
B. 0.6 x +0.4 y =240
yards, is represented by the equation
C. 40 x +60 y=240
y−5 x=6 . What is the best interpretation
D. 60 x +40 y=240
of 6 in this context?
A. Kaylani made 6 suits.
20. x + y=18
B. Kaylani purchased a total of 6 yards of
5 y=x
fabric.
What is the solution (x , y ) to the given
C. Kaylani used a total of 6 yards of fabric
system of equations? to make the suits.
A. (15 , 3) D. Kaylani purchased 6 yards more fabric
B. ( 16 , 2 ) than she used to make the suits.
C. ( 17 , 1 )
D. (18 , 0) 25. 5 y=10 x +11
−5 y=5 x−21
21. 2.5 b+5 r =80 The solution to the given system of
The given equation describes the equations is (x , y ). What is the value of
relationship between the number of birds, 30 x ?
b , and the number of reptiles, r , that can Answer : ___________________________
be cared for at a pet care business on a
given day. If the business cares for 16 26. −3 x+ y=6
reptiles on a given day, how many birds can ax +2 y=4
it care for on this day? In the system of equations above, a is a
A. 0 constant. For which of the following values
B. 5 of a does the system have no solution?
C. 40 A. −6
D. 80 B. −3
C. 3
22. 24 x + y=48 D. 6
6 x + y=72
The solution to the given system of 27. 2.4 x−1.5 y =0.3
equations is (x , y ). What is the value of y 1.6 x +0.5 y=−1.3
? The system of equations above is graphed
Answer : ___________________________ in the xy -plane. What is the x -coordinate
of the intersection point (x , y ) of the
system?
A. −0.5
B. −0.25
C. 0.8
D) 1.75
28. Lynne has $8.00 to spend on apples and
oranges. Apples cost $0.65 each, and
oranges cost $0.75 each. If there is no tax
on this purchase and she buys 5 apples,
what is the maximum number of whole
oranges she can buy?
Answer : ___________________________
29. If 2 w+ 4 t=14 and 4 w+5 t=25 , what is
the value of 2 w+3 t ?
A. 6
B. 10
C. 13
D. 17
30.
