Vocabulary
What are the variable(s) and coefficient(s) in the following expression:
-3x+2y
Variables: x, y
Coefficients: -3, 2
Simplify the following expression:
3x+2y+2x
5x + 2y
Simplify the following expression:
(x)(3x^2)
3x^3
What happens to the coefficients and the exponents when we multiply monomials compared to when we divide monomials? Explain the difference using simple rules.
When multiplying monomials:
Multiply the coefficients
Add the exponents of the same variable
When dividing monomials:
Divide the coefficients
Subtract the exponents of the same variable
What are the variable(s) and constant(s) in the following algebraic expression:
6xy-2z
Constants: None
Simplify the following expression:
-2a+3b-7a+4b
-9a + 7b
Simplify the following expression:
(-2x^2y)(3xy^3)
-6x^3y^4
Simplify the following expression:
(3v^4)/v^3
v
Identify the degree in the following algebraic expression:
3x^2y^4+2x^5+2y^8
8
Simplify the following expression:
2k^2+8k+4k^2-7k+k^2-k
7k^2
Simplify the following expression:
(4m^2pq^3)(-m^3pq^2)
-4m^5p^2q^5
Simplify the following expression:
(12x^2y^5)/(6xy^2)
2xy^3
Identify the coefficients and constants in the following algebraic expression:
-xy + 3x^2+2-4y
Coefficients: -1, 3, -4
Constants: 2
Simplify the following expression:
4x^3+3x^2y+2xy^2-6y^3+5x^3-25y^3+3xy^2
5xy^2-31y^3+9x^3+3x^2y
Simplify the following expression:
(-2x^-2y^4)(-3x^4y^-6)
6x^2y^-2
Simplify the following expression:
(15h^3j^10k^12)/(10h^2j^6k^7)
3/2hj^4k^5
Identify the coefficient(s) in the following algebraic expression:
-3/4x^2+2-8x+1/6y
-3/4, -8, 1/6
Simplify the following expression:
2x^2+4y^2+3xy+2x+4y
2x^2+4y^2+3xy+2x+4y
Simplify the following expression:
(4r^3)(-2r^4)(3r^3)
-24r^10
Simplify the following expression:
(-18m^2n-6mn^2-20m)/(-2m)
9mn+3n^2+10