Like terms with distribution property, variables and exponents Flashcards
What is the result of multiplying x^2 by x^3?
x^5
True or False: (x^2)(x^4) = x^6.
False
Fill in the blank: The product of x^a and x^b is x^_____.
a+b
What is x^2 - x^2?
0
What is the result of (3x^2)(4x)?
12x^3
If x = 2, what is the value of 3x^2 + 4?
16
What is the result of x^3 + 2x^3?
3x^3
What is the simplified form of 5x^2 - 3x^2?
2x^2
True or False: x^0 = 1 for any x ≠ 0.
True
What is the result of x^4 / x^2?
x^2
Fill in the blank: x^m * x^n = x^_____
m+n
What is the result of (x^2 + x^3) - x^2?
x^3
What is the result of 2x^3 + 3x^3?
5x^3
What is the simplified form of 7x^4 - 4x^4?
3x^4
If x = 1, what is the value of 5x^2 - 2?
3
What is the result of (x + 1)(x + 2)?
x^2 + 3x + 2
True or False: (x^3)(x^2) = x^6.
False
Fill in the blank: The expression x^m / x^n simplifies to x^_____
m-n
What is the result of 4x^2 + 5x^2?
9x^2
What is the result of x^2 - 4x + 4?
(x - 2)^2
If x = 3, what is the value of 2x^2 + x?
21
What is the result of (2x^2)(3x^3)?
6x^5
What is the simplified form of 10x^3 - 4x^3 + 2x^3?
8x^3
True or False: The expression 5x + 2x simplifies to 7x.
True
Fill in the blank: The expression (x^2 + x^3) + x^2 simplifies to _____.
2x^2 + x^3
What is the result of multiplying x^2 by x^3?
x^5
True or False: (x^2)(x^4) = x^6.
False
Fill in the blank: The product of x^a and x^b is x^_____.
a+b
What is x^2 - x^2?
0
What is the result of (3x^2)(4x)?
12x^3
If x = 2, what is the value of 3x^2 + 4?
16
What is the result of x^3 + 2x^3?
3x^3
What is the simplified form of 5x^2 - 3x^2?
2x^2
True or False: x^0 = 1 for any x ≠ 0.
True
What is the result of x^4 / x^2?
x^2
Fill in the blank: x^m * x^n = x^_____
m+n
What is the result of (x^2 + x^3) - x^2?
x^3
What is the result of 2x^3 + 3x^3?
5x^3
What is the simplified form of 7x^4 - 4x^4?
3x^4
If x = 1, what is the value of 5x^2 - 2?
3
What is the result of (x + 1)(x + 2)?
x^2 + 3x + 2
True or False: (x^3)(x^2) = x^6.
False
Fill in the blank: The expression x^m / x^n simplifies to x^_____
m-n
What is the result of 4x^2 + 5x^2?
9x^2
What is the result of x^2 - 4x + 4?
(x - 2)^2
If x = 3, what is the value of 2x^2 + x?
21
What is the result of (2x^2)(3x^3)?
6x^5
What is the simplified form of 10x^3 - 4x^3 + 2x^3?
8x^3
True or False: The expression 5x + 2x simplifies to 7x.
True
Fill in the blank: The expression (x^2 + x^3) + x^2 simplifies to _____.
2x^2 + x^3