Radicals
Write in simplest form.
sqrt30timessqrt42
6sqrt35
Determine if f(x) is even, odd, or neither.
abs(4+x)
neither
Factor the following.
x^2+7x+10
(x+5)(x+2)
Find a, b , and c given that the sum of the roots is -3 and the product of roots is -1.
a=1
b=3
c=-1
Identify the vertex of
y=abs(x+1)+1
(-1,1)
In a group of 20 students, 7 have 1 pet, 8 have 2 pets, 2 have 3 pets, and the rest have more than 3 pets. What is the probability that a student selected randomly from the group has one pet?
7/20=0.35
Rationalize the denominator.
sqrt2/(sqrt3+1)
(sqrt6-sqrt2)/2
Determine whether f(x) is even, odd, or neither.
x^4+2x^2
even
Factor the following.
49x^2-56x+16
(7x-4)^2
Use the quadratic formula to solve the following.
x^2-6x+4=0
x=3pmsqrt5
Find the vertex, axis of symmetry, and the extreme value of the following quadratic function.
y=-x^2-2
Vertex: (-1, -3)
AOS: x = -1
Extreme: Max at (-1, -3)
In a group of 20 students, 7 have 1 pet, 8 have 2 pets, 2 have 3 pets, and the rest have more than 3 pets. What is the probability that a student selected randomly from the group has more than one pet?
13/20=0.65
Rationalize the denominator.
sqrt5/(sqrt2+3
(sqrt10-3sqrt5)/-7
Determine whether f(x) is even, odd, or neither.
x^3-2x
odd
Factor the following.
a^4+14a^3+45a^2
a^2(a+9)(a+5)
Use the quadratic formula to solve the following.
2x^2+4x-1=0
x=(-2pmsqrt6)/2
Find the vertex, axis of symmetry, and the extreme value of the following quadratic function.
y=-2x^2+8x
Vertex: (2, 8)
AOS: x = 2
Extreme: Max at (2, 8)
A candy jar contains 7 red, 3 pink, and 6 yellow starbursts. Three starbursts are chosen at random from the jar. What is the probability that all three starbursts are red?
1/16=0.0625
root(4)(352a^9b^7)/root(4)(11a^3)
2abroot(4)(2a^2b^3)
Determine whether f(x) is even, odd, or neither.
abs(x)+x^2
even
Factor the following.
ab-2a+bc-2c
(b-2)(a+c)
The sum of the roots of a quadratic equation is -3 and their product is -1. Write the equation and determine its roots.
a = 1, b = 3, c = -1
x^2+3x-1=0
x=(-3pmsqrt13)/2
Graph
y=abs(x-2)+1
Vertex (2, 1)
x , y
1 , 2
3 , 2
A candy jar contains 5 red, 2 pink, and 8 yellow starbursts. Three starbursts are chosen at random from the jar. What is the probability that all three starbursts are pink?
0
root(4)(96x^5y^5)/root(4)(3y)
2xyroot(4)(2x)
Determine whether f(x) is even, odd, or neither.
xabs(x)-2x^3
odd
Factor the following.
19x-3x^2-6
-(3x-1)(x-6)
The sum of the roots of a quadratic equation is 6 and their product is 4. Write the equation and determine its roots.
a = 1, b = -6, c = 4
x^2-6x+4=0
x=3pmsqrt5
Graph
y=abs(x+1)-3
Vertex ( -1, -3)
x , y
-2, -2
0 , -2
A candy jar contains 4 red, 2 pink, and 6 yellow starbursts. Three starbursts are chosen at random from the jar. What is the probability that all three starbursts are the same color?
2/11=0.18