WorksheetsSolving Systems of Equations
Total questions: 20
Worksheet time: 1hrs 1mins
How many solutions?
3x + 2y = 16
7x + y = 19
x - 2y = 8
x + 2y = -2
Nancy went to the grocery story. On Monday she purchased 4 apples and 6 bananas for a total of $13. On Wednesday she purchased 3 apples and 7 bananas for a total of $13.50. Which system of equations represents the situation?
4x + 6y = 3
13.5x - 13y = 6
x + y = 4
x - y = 6
4x + 6y = 13
3x + 7y = 13.5
4x - 6y = 13
3x - 7y = 13.5
What is the solution to the systems of equations shown in the graph?
1 Solution x=-1/2
1 Solution y=-1/2
Many Solutions
No Solution
What is 'b' in this linear equation? y= 5x - 6
6
5
y
-6
A boy has seven more nickels than quarters. The total value of the coins is $4.90. Which system could be used to find out how many nickels and quarters he has?
A customer at a store paid $64 for 3 large candles and 4 small candles. At the same store, a second customer paid $4 more than the first customer for 1 large candle and 8 small candles. The price of each large candle is the same, and the price of each small candle is the same.
Which system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y?
4y = 3x + 64
8y = x + 68
4y = 3x + 64
8y = x + 60
3x + 4y = 64
x + 8y = 68
3x + 4y = 64
x + 8y = 60
y = 4x + 5
y = x – 4
Solve the following systems of equations using substitution:
5x - 2y = 3
y = 2x
(6, 3)
(1, 2)
(3, 6)
(2, 1)
Solve the following systems of equations using substitution:
y = 3 - x
3y + x = 5
No solution
(1, 2)
(3, 0)
(2, 1)
Parallel Lines have how many solutions?
One Solution
Infinitely Many Solutions
No Solutions
As many solutions as you want
Which image shows a system of linear equations with infinitely many solutions?
