Chapter 6
(sub or elim.) solve algebraically
7x - 4y = 5
-7x + 4y = -5
All solutions
simplify
_/121a
11a
find the leading coefficient and write the polynomials in standard form
T4+T9-T3
T9+T4-T3
leading Co. = 9
Square Root Property:
x2 = 36
x= +-6
State the value of the discriminant
b2 - 5b + 4 = 0
9
2 solutions
(sub or elim.) Solve algebraically
2x + y = 7
-6x - 9y = -3
x = 5
y = -3
simplify
(-5a2 b) (9a3 b2 n)
-45a5 b3 n
Find the sum
(7a-3)+(5a+9)
12a+6
state the axis of sym., vertex, y int, max or min value
y = - (x - 5)2 + 3
Axis of sym. = 5
vertex = (5,3)
y int = (0,-22)
max of 3
simplify
_/813/4
27
(sub or elim) solve algebraically find both x and y
8x+5y=3
7x+2y=5
Y=1
X=1
solve
44x - 1 = 46x
x = -1/2
Find the product
(4a-12b)2
16a2-96ab+144b2
State the value of the discriminant
and number of solutions
2x2 - 10x + 3 = 0
76
2 solutions
simplify
3a(9a-12b)+8a(-7a+6b)
-29a2+12ab
solve each system of linear equations algebraically
3x-9y=7
5x-24y=8
x=16/5
y=1/3
solve
212a-4 = 75a + 7
a = 19
Find the sum or difference
(8x2+9xy-12y2)-(-3x2+7xy-10y2)
11x2-2y2+2xy
solve using the quadratic formula
x2 + 8x - 2 = 0
x = -4+- _/18--
solve using the quadratic formula
x2-9x+6
9 +- _/57
------------
2
(Sub or Elim) find both x and y
9x-2y+8
8x-5y=-10
6=Y
5/2=x
simplify
(6-8_/12)(9+7_/12)
54-30_/12-672
solve and find the leading Coefficient
(x2+5x-9)(6x2-9x-12)
12x4+21x3-111x2+21x+108
leading co. = 4
Solve.
2x2 + 10x + 8 = 0
x = -1
x = -4
The population of Moose in New Hampshire has been declining by 3% per year. If there are approximately 3,900 Moose in New Hampshire as of 2022. how many Moose will there be in 2035 if this trend continues?
Hint: Y = a(1 + r)t
approx. 753 moose