
Expressions and Approaches in Algebra

Interactive Video
•
Mathematics
•
9th - 10th Grade
•
Hard

Thomas White
FREE Resource
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9 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the given condition in the problem statement?
X + Y + Z = -1
X + Y + Z = 2
X + Y + Z = 0
X + Y + Z = 1
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why should X, Y, and Z not be zero in the expression?
It makes the expression equal to zero.
It makes the expression undefined.
It makes the expression positive.
It makes the expression negative.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in the first approach to solve the problem?
Ignoring the given condition.
Substituting X + Y, X + Z, and Y + Z with negative values.
Using a calculator to find the answer.
Testing random values for X, Y, and Z.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the expression become after substitution in the first approach?
Z cubed over XY plus Y cubed over XZ plus X cubed over YZ
X squared over YZ plus Y squared over XZ plus Z squared over XY
Z squared over XY plus Y squared over XZ plus X squared over YZ
X cubed over YZ plus Y cubed over XZ plus Z cubed over XY
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the common denominator used in the first approach?
X + Y + Z
XYZ
X + Z
X + Y
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of the expression after simplification in the first approach?
4
3
2
1
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the key identity used in the second approach?
X squared + Y squared + Z squared - 3XYZ
X cubed + Y cubed + Z cubed = 3XYZ
X cubed + Y cubed + Z cubed - 3XYZ
X squared + Y squared + Z squared = 3XYZ
8.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the significance of the identity used in the second approach?
It is used to find the sum of squares.
It is used to find the sum of cubes.
It is used to find the product of cubes.
It is used to find the difference of cubes.
9.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the final result of the expression using the second approach?
1
2
4
3
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