Equations & Inequalities
Linear Equations
Linear Functions
Systems
Exponents & Exponential Functions
100
Solve for g.
10g-7g-3=18
g = 7
100
What is the equation of the line in slope-intercept form?
y=-1/2x+4
100
What is the set of numbers greater than or equal to -8?
{x|x>=-8}
100
What is the solution to the system of equations?
(-1, -4)
100
Simplify. Assume all variables are positive.
x^(4/3)*x^(7/3)
x^(11/3)
200
Solve for s.
-8s=-7s+10
s = -10
200
What is the equation of the line in point-slope form?
(Use the red point in your equation)
y-20=1/6(x+90)
200
Find f(12).
f(x)=2/3x-10
-2
200
Solve the system using substitution.
8x-8y=8
y=-10
(-9, -10)
200
Which expression is equivalent to
(4x)^(2/5)
root5((4x)^2)
300
Solve for v.
zw=-yvx
v=-(zw)/(yx)
300
Identify the y-intercept of the line.
10x-3y=1
y=-1/3
300
What kind of transformation converts the graph of f(x)=-8x+8 into the graph of g(x)=-8x+2?
Translation 6 units down.
300
Solve the system using elimination.
-2x-3y=-13
-2x-y=-3
(-1, 5)
300
Identify the exponential function that matches the graph.
f(x)=(1/4)^x
400
Solve for c.
2(c+10)<=6
c<=-7
400
Line d passes through points (8,3) and (1,7). Line e is perpendicular to d. What is the slope of line e?
7/4
400
What is the range of this function?
{y|y>=0}
400
During "Deal Days", all video games cost $55, and all movies cost $21. Shay plans to spend some or all her $320 in birthday money on these movies and video games.
Write the inequality in standard form that describes this situation. Use x=the number of video games and y=the number of movies.
55x+21y<=320
400
You have 80 grams of a radioactive kind of tellurium. How much will be left after 8 months if its half-life is 2 months?
5 grams
500
Solve for d.
12=|d-8|
d=-4, d=20
500
The equation of line t is below. Perpendicular to line t is line u, which passes through the point (2, -2). What is the equation of line u?
y=7/4x+2
y=-4/7x-6/7
500
Identify the points where the graph of the function crosses the x-axis and y-axis.
f(x)=3x-6
x-axis: (2, 0)
y-axis: (0, -6)
500
Solve the system of equations using any method.
x+8y=-8
x-4y=16
(8, -2)
500
Simplify.
sqrt(15/4)
sqrt15/2