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WorksheetsSolving Systems Quiz Corrections
Total questions: 15
Worksheet time: 4hrs 45mins
How many solutions exist for the following system of equations?
y = 2x
y = 2x – 4
no solution
infinitely many solutions
one solution
cannot be determined
If x = 2 and 3x + y = 5,
what is the value of y?
-1
0
11
10
Solve the system of equations.
n = 3m –11
2m + 3n = 0
(–2, 3)
(–3, 2)
(3, –2)
(2, –3)
Solve the system of equations.
x – y = 5
x + y = 3
(4, 1)
(4, –1)
(–4, 1)
(–4, –1)
Solve the system of equations.
x + 6y = 10
x + 5y = 9
(1, 4)
(4, 1)
(–1, –4)
(–4, –1)
Solve the system of equations.
2x + 2y = 10
2x – 3y = 5
(1, 4)
(-1, -4)
(4, 1)
(-4, -1)
An airport shuttle company owns sedans that have a maximum capacity of 3 passengers and vans that have a maximum capacity of 8 passengers. Their 12 vehicles have a combined maximum capacity of 61 passengers.
Which system could be used to find out how many vans and sedans the company owns?
3s + 8v = 61
s + v = 12
s + v = 61
3s + 8v = 12
s + v = 61
s + v = 12
3s + 8v = 61
3s + 8v = 12
A drummer and a guitarist each wrote songs for their band. The guitarist wrote 8 fewer than twice the number of songs the drummer wrote. They wrote a total of 46 songs.
Which system of equations models this situation if the drummer wrote d songs and the guitarist wrote g songs?
g = 2d – 8
g + d = 46
g = 8 – 2d
g = 46 – d
d = 2g – 8
d = 46 – g
d = 8 – 2g
d + g = 46
On Monday a bus traveled the Green Route 6 times and the Black Route 8 times, traveling a total of 82 miles.
On Tuesday the bus traveled the Green Route 10 times and Black Route 5 times, traveling a total of 90 miles.
Which system of equations could be used to find length of the Black Route in miles?
6g + 8b = 90
10g + 5b = 82
6g + 8b = 82
10g + 5b = 90
8g + 6b = 90
10g + 5b = 82
8g + 6b = 82
10g + 5b = 90
The graphs of lines k1 and k2 are shown on the grid.
Which system of equations is best represented by this graph?
3x – y = 2
4x + 9y = 36
3x – y = 6
4x + 9y = 4
x – 3y = -18
9x + 4y = 9
x + y = 10
9x + 4y = 13
What is the value of x in the solution to this system of equations?
y + 2x = -1
y = x + 4
6/5
-2
-10/3
3
Two customers went to a post office to buy postcards and large envelopes. The first customer paid $12 for 14 postcards and 5 large envelopes. The second customer paid $24.80 for 10 postcards and 15 large envelopes.
Which system could be used to find the cost in dollars of each large envelope?
14p + 5e = 12.00
10p + 15e = 24.80
14p + 5e = 24.80
p + e = 12
14p + 5e = 24.80
10p + 15e = 12.00
p + e = 12.00
p + e = 24.80
Which graph best represents a system of
equations that has no solution?
What is the x-value of the solution to this system of equations?
x = 2y – 4
7x + 5y = -66
-2
-19/7
-8
-62/19
There are 15 plates in a kitchen cabinet. The diameter of each plate is either 7 inches or 12 inches. The diameter of all 15 plates combined is 140 inches.
Which system of equations can be used to find the number of 7-inch plates, x, and the number of 12-inch plates, y, that are in the cabinet?
x + y = 140
12x + 7y = 15
7x + 12y = 140
7x + 12y = 15
x + y = 15
7x + 12y = 140
x + y = 15
12x + 7y = 140
