Sequences
Equations/Inequalities
Linear Functions
Exponential Functions
Features of Functions
100
Find the common difference of the following sequence.
-5, -4.5, -4, -3.5,...
+0.5
100
Solve
-13(4 + 2a) = 208
a = -10
100
Graph the equation
y=-4x+8
y-int: 8
slope: -4
x-int: 2
100
What do a and b represent in the equation y=a(b)x ?
a = 0 term or y-intercept
b = common ratio or multiplier
100
What is f(-2)?
f(-2) = 2
200
Find the explicit formula of the sequence
-16, -13, -10, -7, -4...
y=3x-19
200
3a + 12 - 6a = -9
a = 7
200
Find the slope of the line that goes through the points (-2, 4) and (2, -2).
-3/2
200
What is the domain, range and horizontal asymptote for the function f(x)=3(2)x ?
Domain: all real numbers
Range: y>0
HA: y=0
200
Given f(x)=3x-8 , find x when f(x)=25
x=11
300
Find the explicit formula of the following sequence
-1, 2, -4,...
y=0.5(-2)x
300
7k - 8 + 2(k + 12) = 52
k = 4
300
Write the following equation in slope-intercept form.
2x - 3y = 7
What is
y = 2/3x-7/3
300
Graph the function y=100(1/5)x. Make it clear what your points are on your graph.
Main points on graph:
(0 , 100) (1 , 20) (2 , 4) (3 , 4/5)
300
Given the graph, find x when f(x)=1
x=3.5 AND x=5
400
Find the arithmetic terms in the sequence
21, ___, ___, ___, 45,......
27, 33, 39.
400
Solve AND graph on a number line
2(6x - 5) < 14
x < 2
GRAPH: open circle at 2, arrow to the left
400
Write an equation in point-slope form for a line passing through the points (-8, 3) and (4, -2).
What is
y=(-5/12)(x+8)+3
OR
y=(-5/12)(x-4)-2
400
What is a(3) if
a(n)=20(-3)^(n-1)
180
400
State the increasing interval(s).
(1,2) and (4,5)
500
Find the missing terms in geometric sequence
12, _____, ______, -1.5
-6, 3,
500
Solve AND Graph on a number line
3 - 5(a + 4) ≥ -a + 7
a ≤ -4
GRAPH: closed circle at -4, arrow to the left
500
Joe scored 123 in the first bowling game. He scored 131 points in his second game. He scored 139 points in his third game. Write an equation to represent the points scored for a specific game.
What is y = 123+8(x-1)
OR y = 115+8x
500
Mr. Choi works at Chadwick International. When he was hired, his salary was $40,000. Every year, the salary increases by 5%. Write an equation to represent this situation.
f(x) = 40,000(1.05)x
500
What are the domain and range for this function in interval notation?
Domain: [-3, 2)
Range [-7, 2]