Equations / Inequalities
Linear Functions
Systems
Exponents
Quadratics
100
4(y-2)-2y=6y-8-4y
Infinitely Many Solutions
100
Graph the following equation, determine the slope and intercepts of the line:
2x-3y=6
x-intercept: 3; y-intercept: -2; slope: 2/3. 
100
Solve the following system using substitution: 2x-3y=-5 and 5x+2y=16
(2, 3)
100
Simplify: z^-2*z^4
z^2
100
Factor: -7v^2-25v-12
-(v+3)(7v+4)
200
|4x+20|=6x
x=3/10 and x=-2 is an extraneous solution
200
Describe the transformation of the following function f to the graph of g:
f(x)=|x|; g(x)=|2x+4|
Shift left two units, stretch by 2.
200
Solve the following system using elimination: 6x-4y=9 and 9x-6y=15
No solution.
200
Simplify the following expression: ((4s^5t^-7)/(-2s^-2t^4))^3
(-8s^21)/t^33
200
Find the zeros of the quadratic: -12n^2-11n=-15
n=-5/3 ; n=3/4
300
|3x-4|=|3x-5|
x=1.5
300
Let a, b, c, and d be constants. Determine which lines, if any, are parallel and perpendicular and why.
1) y-c=ax; 2) ay=-x-b;3) ax+y=d
None are parallel. 1 and 2 are perpendicular.
300
Solve the following system of inequalities and explain the graph you would draw: x+y<1 and 5x+y>4
Both dotted lines. The overlapping region is below the first equation and above the second.
300
Simplify the following expression: x*root3(y^6)+y^2*root3(x^3
2xy^2
300
Factor completely: 4y^3-7y^2+28=16y
y=7/4; y=-2; y=2
400
4|-3b+5|-9<7
1/3<b<3
400
Plot the following piecewise function and specify the domain/range. 
400
Solve the following system of linear equations and provide a solution that satisfies the constraints: y>=-2/3x+1; -3x+y> -2 and 4x+15y>3
400
Solve the following exponential equation: 4(3^(-2x-4))=36
x=-3
400
Factor completely: 6m^3-12mn+m^2n-2n^2
(m^2-2n)(6m+n)
500
-2|y-3|-5>=-4
No solution.
500
In 3 minutes, construct a smiley face using only lines and derive the equations using at least one of the three forms (standard, slope-intercept, and point-slope), and determine the domain/range.
Answers will be checked using Desmos.
500
Solve the following system: (2x-1)/5 + (y+4)/3 = 3 and (x+4)/7 + y = 3
(3, 2)
500
What is the ninth term of a geometric sequence whose a_3=81 and r=3?
59,049
500
Simplify: (2+sqrt5)/(2b+sqrt(5b^2)) where b>0
1/b