WorksheetsChapter 6 Review - Systems of Equations
Total questions: 35
Worksheet time: 2hrs 45mins
Solve the system of equations with substitution 6x+2y=0, y=2x−5
(-2,-9)
(1,-3)
(2,3)
(-1,-7)
Solve the system of equations with elimination y=2x+6, 2y=2x+4
(–4,–2)
(6,6)
(6,18)
(-6,-6)
What is the answer to a system of equations?
The slope of both lines
The point where the line crosses the y-axis
The point where the two lines intersect
The points where the lines intersect the x-axis
Solve the system of equations by graphing.
y=−4x+5, y=3x−16
(-3, -25)
(3,-7)
(11, 17)
(21, 47)
What is the solution to this equation?
(1, -1)
(2, 0)
(0, -2)
(0, 1)
How many solutions does a system with two parallel lines have?
0
1
2
Infinitely many
How many solutions does this system have? y=2x+6, 2y=4x+12
1 solution
infinite solutions
no real solutions
Solve the system of equations by substitution. y=4x, 6x−4y=−10
(1, -4)
(1, 4)
(-4, -7)
(-7, -4)
Solve the system of equations.
5x + 3y = 7, y = 4
(4,1)
(4,-1)
(1,4)
(-1,4)
4x - 3y ≥ 18
What is the input in this equation?
y = 4x + 16
4
y
16
x
What is the output in this equation?
7y + 4x = 10
y
7
x
10
Which is not a solution to this system of inequalities?
(0,-1)
(0,3)
(4,0)
(6,-2)
What is the y value in the solution to this system of equations?
x - 2y = 1, x + 4y = 7
1
-1
3
4
How many solutions does a system of equations where the lines are on top of each have?
two solutions
one solution
infinite solutions
no solutions
8x + 4y = 12
y = -2x + 3
-x + y = -13
-8x - 4y = -8
y = -x + 5
y = 2x - 7
What is the solution to the following system? Give your answer as an ordered pair. Do not leave any spaces.
(a)
Which graph could represent this system of inequalities?
y > 3x + 1 and
y < x - 2
Which point could be a solution to the system of inequalities?
(4, -1)
(1, 5)
(-3, 2)
(-2, -4)
Which ordered pair is a solution to the given system?
Which of the following is NOT a solution to this system of inequalities?
(0,-1)
(0,3)
(4,0)
(6,-2)
Is the ordered pair (-3, 0) a solution to the given system?
y ≤ x + 4
y ≥ 2x - 6
Yes
No
y < x + 4
y ≥ x + 4
y ≥ x + 4
y ≥ x + 3
Solve the system of inequalities by graphing.
Solve the system of inequalities by graphing.
y < 2
y < 2
y < 2
y < -2
Identify the two inequalities that represents the graph.
y > ½x - 3
y ≤ -4x + 2
y < ½x - 3
y ≥ -4x + 2
There are 50 donkeys and chickens on a farm. There are a total of 174 legs. Which system below can be used to figure out how many of each animal the farm has?
4d + 2c = 50
4d + 2c = 174
2d + 4c = 174
2d + 4c = 50
2s + 3c = 52
3s + 2c = 52
s + c = 52
1s + 2c = 52
5c + 10d = 16.50
5c + 10d = 14.25
5c + 10d = 16.50
5c + 10d = 16.50
20x + 50y = 49
10x + 5y = 1430
20x + 50y = 1430
x + y = 1430
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