Solving Systems of Equations by Elimination with Same Coefficients
Authored by Anthony Clark
Mathematics
9th Grade
CCSS covered
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20 questions
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1.
REORDER QUESTION
1 min • 5 pts
Put the steps for solving by ELIMINATION in order:
Solve for the remaining variable
Multiply one or both equations by a number to get common but opposite coefficients
Subtract the equations to eliminate one variable
Plug that number into either original equation and solve for the other variable
Make sure the equations are lined up
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
2.
DRAG AND DROP QUESTION
1 min • 2 pts
In this system x+3y=9 it'll be easiest to start by solving the first equation for x. The result of doing so is x=9-3y. Fill in the blanks to plug that expression in and solve for y: 4(9-3y)-2y =-6 36-12y-2y=-6 36-14y =-6 -14y= (a) y= (b)
-42
3
30
-3
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
3.
DRAG AND DROP QUESTION
1 min • 3 pts
Consider the system
4x+3y=-1
5x+4y=1
Let's say I want to eliminate the y's. What is the least common multiple of 3 and 4?
LCM = (a)
Multiply each equation by a number so that the coefficient of y will be 12, with one positive and one negative.
(b) (4x+3y=-1)
(c) (5x+4y=1)
12
4
-3
3
5
1
-1
-12
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
4.
DRAG AND DROP QUESTION
1 min • 5 pts
Consider the system
4x+3y=-1
5x+4y=1
After we do this multiplication, what will the new equations be?
4(4x+3y=-1) ---> (a) x + (b) y= (c)
-3(5x+4y=1) ---> (d) x - (e) y= -3
16
12
-4
-15
3
5
1
-1
-12
-3
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Q2. What are the coordinates of the point?
(2,-8)
(-8,2)
(0,6)
(6,0)
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
a method to solving a system of equations by getting rid of one of the variables first to solve for the other variable.
Systems by Graphing
Systems by Substitution
Systems by Elimination
Systems by Drawing
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
A
B
C
D
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
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