Quadratics, Absolute value and square roots.
5|9 - 5x| - 7 = 38
x = 0 and x =18/5
What is the solution to this system of equations:
2x - 2y +z = 3
5y - z = -31
x + 3y +2z = -21
(-5, -6, 1)
What is the sum of (5x4+2x2+4x-1) and (x5+2x4-x-5)?
x5 +7x4 +2x2 + 3x - 6
what is the vertex of this equation y = 8(x+5)2+5
(-5, 5)
What is the result when you divide (3x2+7x - 20) by (x+4)
3x - 5
What is the solution set for the equations
5x2+3x = 6 - 4x ?
{-2, 3/5}
Which point is a solution to the following system of equations: y>x
x+3y<5
2x+y>-3
A. (0,0) . B. (-1,1) . C. (-1, -1) . D. (2, 0)
B. (-1, 1)
What is the product of (w+4) and (w2+6w -1)
w3+10w2+23w-4
Identify the vertex and axis of symmetry from this quadratic equation?
y=-3(x+7)2-8
Vertex: (-7, -8)
Axis of symmetry: x = -7
What are the factors of the following polynomial: 5k2 +29k -6
(5k-1)(k+6)
√(-10+7p) = p
{2, 5}
The length of a swimming pool is 6 times it width. The perimeter of the pool is 210 meters. What is the exact measure of the width and length of the pool?
Width is 15 meters and length is 90 meters
(-2x9+3x8-3x6) - (x9+6x8-2x6-1)
-3x9 -3x8 - x6 + 1
What is the vertex, axis of symmetry, and x - intercepts?
y=-(x-1)2-4
Vertex: (1, -4)
axis of symmetry: x=1
x-intercepts = none
This is the remainder when you divide
(3x3 -4x2 + 2x -1 ) by (x + 1)
-10/(x+1)
√(2m - 6) = √(3m - 14)
{8}
Which point is not a solution to the following system y>0 x>3 x+y>-2 y<4x
A. (4,2) B. (5.5, 1.5) C. (3, -1) D. (10, 4)
C. (3, -1)
x8 - x7 +x6 - x3 + 2x2
is subtracted from
-x8 - x7 - x6 -x3 -2x2 +1
-2x8 -2x6 -4x2 +1
Convert y= x2+4x+6 to Vertex Form
y=(x + 2)2 +2
Which one is a factor of 2y4 - 6y3 - 7y + 21
A. (y+3) . B. (2y - 7) . C. (y - 3) . D. (2y+7)
C. (y-3)
y = 10x2 - 9x+6
No solution
A geometry teacher has a set of 60 plastic pentagons and octagons. She happened to notice that all the figures together have a total of 354 sides (she had lots of spare time to count). How many of each shape are there?
x= pentagons . y = octagons
x+y = 60
5x+8y = 354
Pentagons = 42 octagons = 18
What is the result of
(2x -3)3 when expanded
What is 8x3-36x2 +54x -27
Convert to vertex form
y = 3x2 - 54x + 250
y=3(x-9)2+7
c2 - 100
(c+10)(x-10)