Exponent Laws
Algebra Terminology
Collecting Like Terms
Distributive Property
100
Write as a single power.
(x^3)(x^5)
x^8
100
Identify the coefficient and variable in the term:
-5a^3
Coefficient: -5
Variable: a
100
Simplify.
-3m^2+2+7m^2-8
= 4m^2-6
100
Expand and Simplify.
-2(7x-4)
=-14x+8
200
Write as a single power, then evaluate.
((4^2)^3(4))/(4^4)
=4^3
=64
200
State the degree of each term:
5xy^3+4x^6y^2-x^5y+8
4, 8, 6, 0
200
Collect like terms.
2b-b+7-8+3b
= 4b-1
200
Expand and Simplify.
3(4m+16)+2(6m-3)
= 24m+42
300
Simplify using Exponent Laws.
(x^-3y^4)/(y^-6x^2
y^10/x^5
300
Fill in the blanks.
A ____________ is a polynomial with two terms. A ____________ is a polynomial with one term and a _____________ is a polynomial with three terms.
binomial, monomial, trinomial
300
Collect like terms.
3x^2+2-6x+9x-3x^2
= 3x+2
300
Expand and Simplify.
3m(-2m^2+3)-m^2(4m-1)
-10m^3+m^2+9m
400
Simplify the expression using exponent laws.
((2x)^3(4xy^3))/(2x^4(14y^3)
= 8/7
400
What is the degree of this polynomial, and what type of polynomial is it:
3a^4b^5c+2ab^3c^2-7abc^3
Degree is 10 and Trinomial.
400
Collect like terms.
a^2b+2ab-ab^2+2ab^2-3ab+a^2b
= 2a^2b+ab^2-ab
400
Expand and Simplify.
3[2+5(2k-1)]
= 30k-9
500
Simplify the expression using exponent laws.
(-2uv^3(8u^2v^2))/(4uv^2)^2
= -uv
500
Ms. Smith works as a Tutor. She charges $30 upfront plus $10 per hour.
1.Write an expression that describes Ms. Smith's total earnings.
2. If Ms. Smith tutored for 2.5 hours what were her total earnings?
10h+30
$55
500
Write an expression for the perimeter of the given shape.
What is the perimeter if x=5?
33x+15
180
500
Write a simplified expression for the area of the rectangle.
What is the area of the rectangle if x=5 cm?
Area = 8x^2+12x
Area = 260 cm^2