3.1
Systems by Substitution
Systems by Substitution
3.2
Systems by Elimination
Systems by Elimination
3.3
Systems by Graphing
Systems by Graphing
3.5
Systems of Inequalities
Systems of Inequalities
3.6
Error Analysis
Error Analysis
100
Solve the systems of equations using substitution:
y=-4x-17
-5x-5y=10
(-5,3)
100
Solve the systems of equations using elimination:
2x+y=7
x-2y=6
(4,-1)
100
What is the solution to the systems of equations?
(4, -1)
100
What type of line will be used from this inequality > ?
A. Solid Line
B. Dashed Line
C. Neither
The correct answer is A.
100
2x-y=40
x-y=20
The student used elimination to solve the system. In which step did the student make their first mistake?
Step 1: 3x+0 = 60
Step 2: 3x= 60
Step 3: x = 20
Step 4: (20)-y=20
Step 5: y=0
The mistake was in step 1.
200
Solve the systems of equations using substitution:
y=-5
-3x+4y=-2
(-6,-5)
200
Solve the systems of equations using elimination:
14x+2y=26
-14x-6y=-50
(1,6)
200
What is the solution to the systems of equations?
(-1,1)
200
Where would you shade when using this inequality > ?
A. Shade below
B. Shade above
C. Neither
THe correct answer is B.
200
y=-8x+50
x+4y=70
The student used substitution to solve the system. In which step did the student make their first mistake?
Step 1: (-8x+50) +4y = 70
Step 2: -8x +4y = 20
Step 3: 4y = 20 +8x
Step 4: y = 5 + 2x
The mistake was found in Step 1.
300
Solve the systems of equations using substitution:
-8x-5y =-24
-x+y=10
(-2,8)
300
Solve the systems of equations using elimination:
3x - y = 19
-3x + y = 10
No Solutions
300
What is the solution to the systems of equations?
No solution
300
5x-3y=40
2x+3y=-40
The student used elimination to solve the system. In which step did the student make their first mistake?
Step 1: 7x+0 = 0
Step 2: 7x= 0
Step 3: x = 0
Step 4: No solution
The mistake was in step 4.
400
Solve the systems of equations using substitution:
x+3y=1
-3x-3y=-15
(7,-2)
400
Which step could be used to eliminate y ?
-2x + y = 3
-10x -7y = 3
A. Multiply the first equation by 5
B. Multiply the first equation by -5
C. Multiply the first equation by 7
D. Multiply the first equation by -7
The correct answer is C.
400
Using graphing, find the solution to the systems of equations:
5x+3y=15
10x+6y=20
No Solution
400
Which of the following points is a solution to the inequality?
y ≤ x − 2
y > −3x + 5
A. Point (3,5)
B. Point (-2,1)
C. Point (1,-8)
D. Point (5,-2)
The correct answer is D 
400
y=2x+10
2x-5y=10
The student used substitution to solve the system. In which step did the student make their first mistake?
Step 1: 2x -5(2x+10) = 10
Step 2: 2x -10x+50 = 10
Step 3: -8x+50 =10
Step 4: -8x = -40
Step 5: x = 5
The mistake was in step 2.
500
Solve the systems of equations using substitution:
-2x+6y=6
-7x+8y=-5
(3,2)
500
Which step could be used to eliminate y ?
8x +2y = 6
-20x -5y =-15
A. Multiply the first equation by 20 and the second equation by 8
B. Multiply the first equation by 5 and the second equation by 2
C. Multiply the first equation by -20 and the second equation by -8
D. Multiply the first equation by 5 and the second equation by -2
The correct answer is B.
500
What is the solution to the systems of equations?
Infinite number of solutions
500
Which of the following points is a solution to the inequality?
3x+2y≥-2
x+2y<2
A. Point (3,-2)
B. Point (2,5)
C. Point (-4,-1)
D. Point (-2,5)
The correct answer is A.
