WorksheetsSystems of Equations
Total questions: 10
Worksheet time: 1hrs 27mins
Name
Class
Date
1.
The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Which equations represents the system that could be used?
a)
1s + 3c = 38
2s + 3c = 52
2s + 3c = 52
b)
3s + 1c = 38
3s + 2c = 52
3s + 2c = 52
c)
s + c = 38
s + c = 52
s + c = 52
d)
3s + 3c = 38
1s + 2c = 52
1s + 2c = 52
2.
Last season two running backs on the Steelers football team rushed a combined total of 1550 yards. One rushed 4 times as many yards as the other. Let x and y represent the number of yards each individual player rushed. Which system of equations could be used?
a)
x + y = 1550
y = 4x
y = 4x
b)
x + y = 1550
y = x + 4
y = x + 4
c)
y - x = 1550
y = 4x
y = 4x
d)
y = 1550 + x
y = x + 4
y = x + 4
3.
A large pizza at Palanzio’s Pizzeria costs $6.80 plus $0.90 for each topping. The cost of a large cheese pizza at Guido’s Pizza is $7.30 plus $0.65 for each topping. Which system of equations could be used to find the number of toppings when both companies cost the same amount?
a)
y = 6.80 + .65x
y=7.30+.90x
y=7.30+.90x
b)
x + y = 6.80
x + y = 7.30
x + y = 7.30
c)
y = 6.80+.90x
y = 7.30 + .65x
y = 7.30 + .65x
d)
y + .90x = 6.80
y + .65x = 7.30
y + .65x = 7.30
4.
At a college bookstore, Carla purchased a math textbook and a novel that cost a total of $54, not including tax. If the price of the math textbook, t, is $8 more than 3 times the price of the novel, n, which system of linear equations could be used to determine the price of each book?
a)
t + n = 54
t = 3n + 8
t = 3n + 8
b)
t + n = 54
n = 3t + 8
n = 3t + 8
c)
t + n = 54
t = 3n - 8
t = 3n - 8
d)
t + n = 8
t = 3n + 54
t = 3n + 54
5.
What is the solution to the system?
a)
(0, 3)
b)
(1, -1)
c)
(-3, 1)
d)
(1, 3)
6.
What is the solution of the two linear equations shown?
a)
(2,2)
b)
(0,0)
c)
(1,2)
d)
None of these
7.
Solve for x and y
3x + 2y = 16
7x + y = 19
3x + 2y = 16
7x + y = 19
a)
(-2,5)
b)
(-2,-5)
c)
(2,-5)
d)
(2,5)
8.
What is the best method do you use?
y = 6x − 11
−2x − 3y = −7
a)
Graphing
b)
Substitution because a variable is defined
c)
Elimination because both equations are in standard form.
9.
Solve the system:
y= 3x -13
2x +4y =4
a)
(5,2)
b)
(4, -1)
c)
(-4, -1)
d)
(5, -2)
e)
(-4, 1)
10.
Solve the system:
x+ 3y = 9
2x+ y = −2
a)
(3,2)
b)
(-2, 2)
c)
(3, -4)
d)
(-3, 4)
e)
(0.5, -3)
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