Notation
Simplify: x*x*x
x3
Write the product of a number x and 5 as a mathematical expression.
5x
In the polynomial 4x3−5x2+2x−7, what is the degree of the constant term?
degree 0
The terms of a polynomial are separated by what operator(s)
+ and -
Evaluate the expression 3x+4 when x=2.
10
Simplify: y2*y3
y5
Translate this sentence into math: "Seven less than a number n."
n-7
What is the overall degree of the polynomial 5x3+2x2−x+7?
degree 3
Identify all coefficients in the polynomial 3x4-2x3+x2-6x+8
3,-2,1,-6,8
Evaluate 2x2−3y when x=3 and y=1.
15
Simplify: (3x)2
9x2
Write "The square of a number aaa increased by 10" as a mathematical expression.
a2+10
Classify the expression 5x3y2+4x2y3 based on the overall degree.
degree 5
Classify the polynomial by the number of terms after collecting like terms 3x2y−2xy2+x2y−xy2
Binomial: 4x2y-3xy2
Evaluate the expression 4a2−2b+c when a=2, b=5, and c=−3.
3
Simplify: a5÷a2
a3
Translate this sentence into math: "The quotient of x and 4 is equal to 12."
x/4=12
What is the overall degree of the polynomial x5y3−3x4y2+5x3y+4xy3+2?
degree 8
Explain why the expression 2x(x+1)+3 is not immediately classified as a monomial, binomial, or trinomial.
It is not immediately classified because it must be expanded first: 2x2+2x+3. After expansion, it is a trinomial.
Evaluate the expression (2x3-5y)÷(xy+3y) when x=4 and y=2
59
Simplify: (2x3y2)2
4x6y4
Express "Three times the sum of a number y and 2" in mathematical form.
3(y+2)
Given the polynomial 6x4y2+3x3y3+2x2y4−8xy5+4, what is the overall degree?
degree 6
What is the total number of terms in the expanded form of the polynomial (x+2)(x2−x+3)?
4 terms: x3+x2+x+6
Evaluate the expression (3a2b-4c)÷(2ab+c) when a=1, b=3, and c=5.
-1