
Algebraic Proofs and Expressions

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

Thomas White
FREE Resource
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8 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the primary focus of algebraic proofs?
To calculate derivatives
To simplify expressions
To prove statements using algebra
To solve equations
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the expression (3m + 1)^2 - (3m - 1)^2, what is the first step in proving it is a multiple of 12?
Simplify the expression
Expand both brackets
Substitute values for m
Factorize the expression
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of expanding (3m + 1)^2?
9m^2 + 6m + 2
9m^2 + 6m + 1
9m^2 + 3m + 1
6m^2 + 9m + 1
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you prove that n(n + 1) + (n + 1) is a square number?
By factorizing into a double bracket
By expanding and simplifying
By substituting values for n
By using the quadratic formula
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the expression for the sum of three consecutive even integers?
6n + 4
3n + 6
6n + 6
2n + 4
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you prove that the sum of squares of two consecutive odd numbers is a multiple of two?
By substituting values for n
By factorizing by 2
By expanding and simplifying
By using the quadratic formula
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the remainder when proving the sum of squares of two consecutive odd numbers is 2 more than a multiple of 8?
1
2
3
4
8.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the expression for the sum of squares of two consecutive even numbers?
8n^2 + 4n + 4
8n^2 + 8n + 8
8n^2 + 8n + 4
8n^2 + 4n + 8
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