WorksheetsSolve Systems Using Graphing and Substitution
Total questions: 12
Worksheet time: 12mins
Solve the system:
3x + y = 19
2x - y = 6
(5, 14)
(4, 5)
(5, 4)
(14, 5)
Solve the system:
2x - 5y = 12
y = -2
y = -2
(11, -2)
(1, -2)
no solution
7x - y = -10
-7x + 5y = -6
(-2, -4)
(-2, -1)
(-4, -1)
(6, -8)
The cost of 5 squash and 2 zucchini is $1.32. Three squash and 1 zucchini cost $0.75. Write a system of equations.
5q + 2z = 1.32
1z = 0.75
5q + 2z = 1.32
3q + 1z = 0.75
q + z = 1.32
q + z = 0.75
5q + 2z = 0.75
3q + 1z = 1.32
The solution (x, y) to a system of equations is the point where they...?
Run off the graph
Don't touch
Intersect
Exist
Solve this system of equations by graphing.
y = 4x - 2
y = -x + 3
(-2,-1)
(-1,-2)
(1,2)
(2,1)
Which variable should you isolate first in the system?
The x in the first equation
The y in the first equation
The y in the second equation
The x in the second equation
What is the correct first step in solving this system by substitution?
-7(2y+11) - 2y = -13
-7x -2(2y +11) = -13
2y+11-2y = -13
Solve the system by substitution
3x - y = 4
x + 2y = 6
(-2, 2)
(2, -2)
(2, 2)
(-2, -2)
What is the best method do you use?
x = 6y − 11
−2x − 3y = −7
Graphing, because they are both in slope-intercept form
Substitution because a variable is isolated (solved for)
The first step in solving using the substitution method is __________.
get x by itself
get y by itself
get either variable by itself
add the equations together
What is the best method to use?
y = −3x + 5
y = x -1
Graphing, because they are both in slope-intercept form
Substitution because a variable is isolated (solved for)
