Worksheets2. Systems Test
Total questions: 10
Worksheet time: 5mins
Name
Class
Date
1.
A drummer and a guitarist each wrote songs for their band. The guitarist wrote 8 fewer than twice the number of songs that the drummer wrote. They wrote a total of 46 songs. Which system of equations models this situation if the drummer wrote songs and the guitarist wrote songs?
a)
g=8-2d and g=46-d
b)
g=2d-8 and g+d=46
c)
d=8-2g and d+g=46
d)
d=2g-8 and d=46-g
2.
Given the system of equations x + y = 10 and y = 3x - 2, what is the value of y after using substitution to find the solution set?
a)
4
b)
6
c)
8
d)
10
3.
In the system of equations 2x + 3y = 12 and y = x - 1 , what is the solution set (x, y) after applying the substitution method?
a)
(1, 3)
b)
(3, 2)
c)
(2, 2)
d)
(4, 0)
4.
When solving the system of equations y = -x + 4 and 2x + y = 8 using substitution, what will be the final solution for y?
a)
0
b)
2
c)
4
d)
6
5.
A car rental company charges a flat fee of $50 plus $0.20 per mile driven. If a customer paid a total of $80, how many miles did they drive? Set up and solve the system of equations to find the number of miles driven.
a)
100 miles
b)
150 miles
c)
200 miles
d)
250 miles
6.
You are buying apples and oranges. Apples cost $2 each, and oranges cost $3 each. You spent a total of $18 buying 8 pieces of fruit. Using substitution, how many apples did you buy?
a)
4 apples
b)
5 apples
c)
6 apples
d)
7 apples
7.
A theater has two types of tickets: adult tickets that cost $12 and student tickets that cost $8. If the theater sells a total of 150 tickets for a performance and collects $1,440, how many adult tickets were sold?
a)
72
b)
84
c)
96
d)
66
8.
A store sells two types of smartphones: Model A costs $300 and Model B costs $450. If a customer buys a total of 5 smartphones and spends $2,250, how many of each model did the customer buy? What is the number of Model A smartphones purchased?
a)
3
b)
2
c)
1
d)
4
9.
A farmer has chickens and cows. If there are a total of 50 animals and there are 140 legs in total, how many chickens does the farmer have?
a)
30
b)
20
c)
25
d)
15
10.
For the system of equations:
4x + y = 14
y = -x + 6
What is the solution for the ordered pair (x, y)?
What is the solution for the ordered pair (x, y)?
a)
(0, 6)
b)
(1, 5)
c)
(2, 4)
d)
(3, 2)
100 %
