Solve [5x – 6] – 2[x] = 0
*Hint: [] = Under the radical sign
What is x = 6?
100
Solve by using square root property and state solutions: x^2-8x+16=25
What is x=5+4=9 or x=-5+4=-1
x={9,-1}?
100
Using long division: (x^2+10x+21)/(x+3)
What is x+7?
100
Find the discriminant: x^2+7x+8
What is D=17?
200
Factor 10a^3b^2+15a^2b-5ab^3
What is 10a^3b^2+15a^2b-5ab^3
=5ab(2a^2b+3a-b^2)?
200
Solve [x+1]+[x-2]=3
*Hint: If numbers are in [], then they are under the radical sign.
What is x=3?
200
Solve using square root property and state solutions: x^2-18x+81=49
What is x=9+7=16 or x=9-7=2
x={16,2}?
200
Using synthetic division: (x^2+5x+6)/(x+3)
What is x+2?
200
Find the discriminant: 2x^2-4x+3
What is D=-8?
300
Factor x^3-3x^2+4x-12
What is x^3-3x^2+4x-12
= x^2(x-3)=4(x-3)
= (x-3)(x^2+4)?
300
Simplify [49x^2y4]
*Hint: If numbers are in [], then they are under the radical sign.
What is 7xy^2?
300
Solve using square root property and state solutions: 16x^2+24x+9=81
What is x=-12+/-9
x={-3,-21}?
300
Using long division: (4x^3-3x^2+3x-1)/(x-1)
What is 4x^2+x+4 r. (3/x-1)?
300
Find the discriminant: x^2+14x+49
What is D=0?
400
Factor 6x^4y^2+9x^2y^2=3xy^3
What is 6x^4y^2+9x^2y^2=3xy^3
= 3xy^2(2x^3+3x-1)?
400
Evaluate 2[20]+3[80]
*Hint: if numbers are in [], they are under the radical sign.
What is 16[5]?
400
Solve using square root property and state solutions: x^2+20x+100=64
What is x=-10+/-8
x={-2,-18}?
400
Using long division: (y^3-y^2-6)/(y+2)
What is y^2-3y+6 r. (-18/y+2)?
400
Find the discriminant: 4x^2-x-7
What is D=113?
500
Factor 8x^3-64y^3
What is 8x^3-64y^3
=(2x)^3-(4y)^3
=(2x-4)((2x)^2+(2x)(4y)+(4y)^2)
=(2x-4y)(4x^2+8xy+16y^2)?
500
Explain why the expression [x] is undefined when x<0
What is because you can't take the root of negative numbers?
500
Solve using square root property and state solutions: 25x^2+20x+4=75
What is x=-10+/-5[x]
x= {-10+5[x], -10-5[x]}?
500
Using synthetic division: (5x^2-10x-47)(x-4)^-1
What is 5x+10 r.(-7/x-4)?
500
If x^2=n, then x==/- [n]. Which property tells you this?
a. Square Root Property
b. Factoring
c. Distributive Property
d. Graphing
*Hint: If number/variable is in [], then they are under the radical.