Random
Create an exponential function for the scenario:
A new savings account is opened with $200 and gains 5% interest each year (t).
hint ) fill in the equation -- f(t) = f1(r)t
200(1.05)t
When graphing an inequality:
When do we use a solid line?
When do we use a dashed line?
Solid : ≤ or ≥
Dashed : < or >
What is the common difference for this sequence :
62, 69, 76, 83, ...
d= 7
Find the common ratio of the sequence :
8, 4, 2, 1, 0.5, ...
r = 1/2 or 0.5
Tim put $4000 in his savings account that gains 5% interest per year. In how many years will his savings account have $4630.50?
(4,000 is NOT the 1st year balance)
after 3 years
When graphing a system of linear inequalities, where do we look for solutions?
- shaded region of one equation ?
- shaded region of BOTH equations ?
- non shaded points ?
in shaded region of BOTH
What is the first term in this equation?
f(n) = 3(n-1) -8
f(1) = -8
Find the missing terms in the following geometric sequence. 4, 12 , _____, _____, 324
36, 108
Vertical angles are always ________.
Equal / Congruent
Solve the system for x and y :
4x - 3y = -2
-2x + 3y = 10
x = 4, y = 6
Find the missing term in the following Arithmetic sequence. -13, -20, ____
-27
What is the 3rd term of the sequence
f(n) = -7(2) n-1
-28
Angela buys green towels (x) that cost $7 and blue towels (y) that cost $9. She wants to buy AT LEAST 8 towels total and can spend NO MORE THAN $76.
Create 2 inequalities to model scenario.
x + y > 8
7x + 9y < 76
What does a system of linear equations with no solution look like on a graph?
Parallel lines
lines that dont intersect
lines with the same slope but different y-intercepts
Is the following sequence Arithmetic, Geometric or Neither? -- list pattern & first term as well
3, 8, 13, 18, 23, .....
Arithmetic
f(1) = 3, common difference = 5
What is the common ratio for the sequence:
180, -60, 20, -20/3 , ...
r = _____
r = -1/3
Calculate the new points based on the transformation:
(x,y) -- (x+5 , y)
A (-1, 1) ---- A' ( )
B (-5, 5) ---- B' ( )
C (-3, 3) --- C' ( )
A' (4,1)
B' (0,5)
C' (2, 3)
Solve the system :
x - 6y = 3
-x + 6y = -3
The system has ______ solutions.
Infinite --- when solving we end up 0=0 which is always true no matter the numbers we plug in
Create the explicit rule for the sequence:
30, 35, 40, 45, ...
f(n) = d(n) + f(1)
f(n) = 5n + 30
having a common ratio/rate of 1.5 will mean our graph will demonstrate a _______ rate.
Growth/Decay
Growth