QUICK CHECK & LESSON ECHOES
Authored by Rovymil Lambojon
Mathematics
8th Grade
CCSS covered
Used 3+ times
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12 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following methods are used to solve systems of linear equations algebraically?
The substitution method and the division method
The subtraction method and the elimination method
The elimination method and the division method
The substitution method and the elimination method
Answer explanation
Two of the most common techniques used for solving systems of linear equations are the elimination method and the substitution method. Both are equally used in general.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
2.
FILL IN THE BLANKS QUESTION
30 sec • 1 pt
Consider the given system. Which variable is best eliminated first?
(a)
Answer explanation
The variable x is best eliminated first because its coefficients are already additive inverses of each other.
Recall that 4x−4x=0.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
3.
FILL IN THE BLANKS QUESTION
30 sec • 1 pt
Consider the given system.
(a)
Answer explanation
The first equation, 5x+y=9, should be multiplied by 7.
7(5x+y=9)
35x+7y=63
The new system will be:
35x+7y=63
10x−7y=−18
Adding the left and right sides of the equation would cancel the y variable because 7y−7y=0.
Tags
CCSS.HSA.REI.C.9
4.
MULTIPLE SELECT QUESTION
30 sec • 1 pt
Consider the given system.
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
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Consider the following system of linear equations.
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
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Solve the given system of linear equations.
Answer explanation
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Solve the following system of linear equations:
Answer explanation
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
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