Linear Equations
What is the slope of the line between the points (2,5) and (6, -7)?
-3
x2-2x-35
(x-7)(x+5)
Solve for x
4x-(5x-3)=9
x=-6
What is the sum of
5x2+x-1 and 6x2-4x+3
11x2-3x+2
Describe how to tell if a set of points is a function or not
No repeated y values
What is the equation of the line in slope-intercept form that goes through the point (2,8) and has a slope of 3?
y=3x+2
Simplify
sqrt(72)
6sqrt2
Solve the following inequality and sketch it on a number line at the board.
-19<3x-4<-1
-5<x<1
open circles, shade between.
-15<3x<3
Subtract:
(10x2-5x+3) - (8x2+x-6)
2x2-6x+9
10x^2-5x+3-8x^2-x+6
Rewrite as a fractional exponent 3rt(x)
x1/3
What is the slope of the line perpendicular to the line 2x+y=10 ?
Factor out a GCF of the polynomial
6x5+8x3-10x2
2x2(3x3+4x+5)
Come to the board and sketch the inequality (correct line and shading)
y > 2x - 1
dotted line, shade above
What is the product of (2x-5) and (x+4)
2x2+3x-20
Identify the vertex and axis of symmetry
f(x)=-2(x+3)2-1
Vertex (-3,-1)
AOS: x=-3
What is the equation of the line in slope-intercept form between the points (-3,4) and (3,16)
y=2x+10
16-4/3+3 = 12/6 = 2
4=2(-3)+b
4=-6+b
10=b
Factor x2-36
(x+6)(x-6)
What is the solution to the system of equations?
y=9-2x
4x-y=3
(2,5)
4x-(9-2x)=3 -> x=2
y=9-4=5
Find the product of
-3x3 and 2x2+6x-1
-6x5-18x4+3x3
The formula for the area of a triangle is
A = 1/2bh
Rewrite the formula to find the b (get b by itself)
b=2A/h
What are the x and y-intercepts of the graph of
5x-3y=30
xint = 6
yint = -10
Simplify
(4x)/(x^-4) times (2x^2/5x)
(8x^6)/5
Solve the equation
x2-20x=300
x=30, -10
x2-20x-300=0
(x-30)(x+10)=0
Simplify
(3x+1)2
9x2+6x+1
Rewrite so the equation is in standard form
y=2(x+3)2-5
2x2+12x+13
2(x+3)(x+3)-5
2(x2+6x+9)-5
2x2+12x+18-5