Exponent Rules
1.When using the Product Rule you _________ exponents.
2. When using the Power Rule you _________ exponents.
3. When using the Quotient Rule you_________ the exponents.
4.Zero Exponent Rule states anything with an exponent of zero is ________.
Answer:
1. Add
2. Multiply
3. Subtract
4. One(1)
(7a^4-6+3a)+(2a+1-4a^4)
Answer:
3a^4+5a-5
Factor the greatest common factor (GCF) out of the expression:
3n+6
Answer:
3(n+2)
When in Vertex Form the "h" represents the ___-value, & k represents the ___-value.
y=a(x-h)^2+k
Answer:
"h" represents the (x)-value
"k" represents the (y)-value
Identify the
a=_____, b=______, c=______in the equation:
2x^2+15x-8
Answer:
a= 2, b= 15, c= -8
Solve:
sqrt(2x )=2
Answer:
x=2
2vu^3 *3v^2
Answer:
6v^3u^3
(8+7x^2+4x^3)+(x^2-6x+x^3)
Answer:
5x^3+8x^2-6x+8
Factor the greatest common factor (GCF) out of the expression:
10x^2+8x
Answer:
2x(5x+4)
Identify the Vertex:
y=(x+4)^2+1
Answer:
(-4, 1)
What is the y-intercept of the equation:
-x^2+2x+9=0
Answer:
9
y= -(0)^2+2(0)+9
y=9
Solve:
sqrt(p+2)=5
Answer:
p = 23
(4a)^2
Answer:
16a^2
(3a^3+3-8a^4)+(3a^4-2a^3+3)
Answer:
-5a^4+a^3+6
Factor completely:
b^2-8b+15
Answer:
(b-5)(b-3)
Identify the Vertex:
y=-(x+9)^2-4
Answer:
(-9, -4)
Find the Axis of Symmetry (AOS) of the following expression:
-r^2+2r+24
Answer:
1
(-(2))/(2(-1))
Solve:
-1+sqrt(8n+1)=4
Answer:
n = 3
-(2x^2y^3)/(x^4)
Answer:
-(2y^3)/(x^2)
(5+6x^3-x)-(7-8x^2+6x)
Answer:
Factor completely:
p^2-9
Answer:
(p+3)(p-3)
Write an equation in Vertex Form with a given vertex (4, -4).
Answer:
y=(x-4)^2-4
Solve using the Quadratic Formula:
-n^2+2n+8=0
Answer:
n= -2, n= 4
Solve:
sqrt(1-x)=sqrt(-1-2x)
Answer:
x = -2
(2y)^4/(-x^3y^2*-2x^2y^4)
Answer:
8/(x^5y^2)
(7n^2-6-8n^3)-(8-3n^3+7n^2)
Answer:
-5n^3-14
Factor completely (HINT: use slide method)
3k^2+16k-64
Answer:
(3k-8)(k+8)
Write an equation in Vertex Form when given a vertex of (-3, 3).
Answer:
y=(x+3)^2+3
What are the x-intercepts of the following equation (HINT: use Quadratic Formula):
-r^2+2r+24=0
Answer:
r = -4
r= 6
Solve (HINT: check for extraneous solutions):
x-3 = sqrt(x-1)
Answer:
x = 5