Solving Linear Systems by Multiplying First

Quiz
•
Mathematics
•
9th Grade
•
Hard
Standards-aligned
Anthony Clark
FREE Resource
20 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which of the following is a good start when using the elimination method to solve this system?
multiplying the second equation by 1
multiplying the first equation by -2
multiplying the second equation by -1
multiplying the first equation by 2
Answer explanation
The idea behind the elimination method is to cancel one of the variables. In order for this to be possible, the coefficients of this variable need to have the same absolute value and opposite signs.
In this example, if we multiply the second equation by −1, we would then be able to add the variable x in the first equation with −x in the second one which will result to cancellation of the said variable.
Therefore, the correct answer is multiplying the second equation by −1.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Solve the given system of linear equations.
Answer explanation
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
3.
MULTIPLE SELECT QUESTION
1 min • 1 pt
Which two equations would help you eliminate the variable y?
Answer explanation
To eliminate the variable y, both coefficients from the two equations should be additive inverses of each other.
The LCM of 4 and 9 is 36. Thus, you multiply the first equation by 9:
9(5x+4y=−30)
45x+36y=−270
Then, you multiply the second equation by 4:
4(3x−9y=−18)
12x−36y=−72
The new equations can now be added and the y variables can now be eliminated.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Solve the following system of linear equations:
Answer explanation
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Solve the system by multiplication.
3x + 2y = 16
7x + y = 19
(-2,5)
(-2,-5)
(2,-5)
(2,5)
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Look at this system of equations: 4x - y = -10 x + 3y = -8 Which of the following statements describes the most logical first step in solving this system?
Multiply the top equation by -4
Multiply the bottom equation by -4
Multiply the top equation by -1
Multiply the bottom equation by -1
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
7.
MULTIPLE CHOICE QUESTION
1 min • 5 pts
what would the top equation become when you multiply everything by -1?
2x - 6y = 20
-2x - 6y = -20
-2x + 6y = 20
-2x + 6y = -20
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
Create a free account and access millions of resources
Similar Resources on Wayground
15 questions
Solving Systems of Equations by Substitution and Elimination

Quiz
•
10th - 12th Grade
17 questions
Substitution Method

Quiz
•
8th - 9th Grade
20 questions
Solving pairs of linear equations in two variables

Quiz
•
8th - 12th Grade
20 questions
Substitution Method

Quiz
•
8th - 9th Grade
20 questions
Solving Systems of Linear Equations

Quiz
•
8th - 9th Grade
16 questions
Substitution and Elimination Methods for Systems of Equations Quick Check

Quiz
•
9th Grade - University
20 questions
Systems of Linear Equations by Substitution

Quiz
•
8th - 9th Grade
16 questions
Solving Linear Systems by Various Methods

Quiz
•
9th - 12th Grade
Popular Resources on Wayground
15 questions
Hersheys' Travels Quiz (AM)

Quiz
•
6th - 8th Grade
20 questions
PBIS-HGMS

Quiz
•
6th - 8th Grade
30 questions
Lufkin Road Middle School Student Handbook & Policies Assessment

Quiz
•
7th Grade
20 questions
Multiplication Facts

Quiz
•
3rd Grade
17 questions
MIXED Factoring Review

Quiz
•
KG - University
10 questions
Laws of Exponents

Quiz
•
9th Grade
10 questions
Characterization

Quiz
•
3rd - 7th Grade
10 questions
Multiply Fractions

Quiz
•
6th Grade