Lines
Graphing
Polynomials Operations
Factoring
Misc.
100
"Find the slope of the line through "
(3,7) and (-5,2).
m=(7-2)/(3-(-5))
m=5/8
100
(5x^2-2x+9)-(x^2+7x-5)
5x^2-2x+9-x^2-7x+5
4x^2-9x+14
100
"Factor completely: "
3a^4b^3+15a^3b^7-21a^3b^2
3a^3b^2(ab+5b^5-7)
100
What is the equation for this graph?
y=|x - 3| + 1
200
"Put "2x+5y=11
" in slope-intercept form."
5y=-2x+11
y=-2/5x+11/5
200
"What is the border equation for "
3x+5y<10
"(in slope-intercept form)?"
3x+5y=10
5y=-3x+10
y=-3/5x+2
200
3ab^2(2ab^5-a^4b)
6a^2b^7-3a^5b^3
200
36x^2-49
(6x-7)(6x+7)
200
What is the equation for this graph?
y =2 (x + 3)2 - 5
300
"Write the equation of the line "
"with slope of "1/4" and y-intercept of "-3.
y=1/4 x - 3
300
"Graph "y=3/2x-4.
300
(3x-2)(5x+1)
15x^2+3x-10x-2
15x^2-7x-2
300
x^2+5x-36
(x-4)(x+9)
300
"If "y" varies directly as "x", and "x=4" when "y=30","
"find y when "x=10"."
y=kx" " implies" "30=k(4)" "implies" "k=15/2
y=15/2x" "implies" "y=15/2(10)
y=75
400
"Write the equation of the line passing through the points "
(-2,-9) and (0,-3).
m=(-9-(-3))/(-2-0)=3
y=mx+bimpliesy=3x+b
-3=3(0)+bimpliesb=-3
y=3x-3
400
"Graph "ylt-3/5x+2.
400
(5x+7)(5x-7)
25x^2-35x+35x-49
25x^2-49
400
2x^2-x-10
(2x-5)(x+2)
400
"Solve the system by any method: "
{(3x,+,y,=,5),(x,-,4y,=,-7):}
3x+y=5" "implies" "y=5-3x
x-4y=-7" "implies" "x-4(5-3x)=-7" "implies" "
x-20+12x=-7" "implies" "13x=13" "implies" "x=1
y=5-3x" "implies" "y=5-3(1)" "implies" "y=2
500
(6x^3-8x^2+10x)/(2x)
(6x^3)/(2x)-(8x^2)/(2x)+(10x)/(2x)
3x^2-4x+5