Equations and Inequalities
Evaluate the expression
-34
-81
Are the lines parallel, perpendicular, or neither?
4x-5y=10
5x+4y=0
Perpendicular
Solve the system
4x + 2y = 2
x + 3y = 13
(-3, -2)
Solve for x
x2 - 45 =0
x = positive and negative 3 radical 5
Does everyone get fruit snacks for just trying?
No
Identify the property being shown
(a + b) + c = (b + a) + c
commutative property
Write an equation for a line parallel to y=-2x-8 and goes through (4, 3)
y=-2x+11
Solve the system
-7x + 2y = -1
-8x + 4y = -8
( 1/2, -1)
Solve for x
4x2 + 7x = 0
x= 0 and x = -7/4
When something goes wrong in class, who do we blame?
Quinn
Solve the equation
2(x - 3) + x = -6 - 4x +7x
Identity
Write an equation for a line that goes through the points (-2, 7) and (4, 1)
y=-x+5
What are the intercepts of this plane
4x - 8y + 10z = 16
x-int: 4
y-int: -2
z-int: 8/5
Solve for x
x2 - x - 42 = 0
x = -6 and x = 7
What is the shape of the graph of a quadratic function?
Parabola
Solve the absolute value equation
l x +3 l = 5
x = 2 and x= -8
Evaluate the piecewise function for x=-7
3x-4 if x<2
-7 if x>2
-25
Solve the system
x-2y+3z=-7
-x+y-2z= 5
4x+5y+z=4
(-6, 5, 3)
Solve for x
9x2 + 31x + 12 = 0
x = -3 and x = -4/9
Who would win in a boxing match, Mr. Schumacher or Fr. Brouillette?
Mr. Schumacher
Solve the absolute value inequality
l -2x - 4 l + 8 > 18
x < -7 or x > 3
What is the vertex of the absolute value function?
f(x) = 1/3 l x - 6 l - 1/2
(6, -1/2)
Solve the system
3x+2y-8z=4
6x+4y-16z=8
12+8y-32z=16
Infinite Solution
Solve for x
2x2 - 8x + 9 = 0x = (2 plus or minus i radical 2)/2
Who is Mr. Schumacher's favorite student?
Anyone who voted for him in the boxing competition.