Solving Systems by Elimination Advanced
Authored by Anthony Clark
Mathematics
9th Grade
CCSS covered
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14 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Erin is 3 years younger than twice Alex's age. Their ages combined are 33 years. How old are Alex and Erin. If x=Erin's age and y=Alex's age, choose the system that matches the situation.
x + y = 33
y = 2x - 3
x + y = 33
x = 2y - 3
x + y = 33
x = 3 - 2y
x + y = 3
x = 33 - 2y
Tags
CCSS.HSA.CED.A.3
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What would be the first step to solve this system by elimination?
2x+9y= -7
6x-3y= 9
Add the equations
Subtract the equations
Write each equation in slope intercept form.
Multiple the first equation by 3 or -3
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which strategy is the best choice for solving this system?
4x − 4y = 10
4x + 4y = 0
Elimination
Making trials
Substitution
Graphing
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which variable will be eliminated first?
x
y
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
If a system of linear equations has infinitely many solutions, what does this mean about the two lines?
Intersecting lines
Same line
Parallel lines
Tags
CCSS.8.EE.C.8A
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The talent show committee sold a total of 530 tickets in advance. Student tickets cost $3 each and the adult tickets cost $4 each. If the total receipts were $1740, how many of each type of ticket were sold? What of the following systems represent this situation?
S + A = 530
3S + 4A = 1740
S + A = 530
4S + 3A = 1740
S + A = 1740
3S + 4A = 530
S + A = 1740
4S + 3A = 530
Tags
CCSS.HSA.CED.A.3
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which method would be best (quickest) for solving the system below:
x + y = 11
3x - 4y = -2
Making trials
Elimination
Graphing
None of these
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
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