Quantities and Relationships
Evaluate the following function:
f(x) = 13x + 5
f(-3)
What is..... -34
What is the Recursive Formula for a Geometric Sequence?
What is....
gn = gn-1 x r
Put the following arithmetic sequence into function form (y = mx + b)
an = 8 + 2(n − 1)
What is......
y = 2x + 6
Determine the solution to each system of equations.
3x+2y=18
x−y=1
What is.....
(4, 3)
Where is Mr. Wallish going on vacation as soon as school gets out?
What is......
Florida!
Is {(1,4), (2,6), (1,10) (2, 6)} a function?
What is......
No, x value of 1 has multiple y values.
Determine the 20th term in the sequence defined by
an = 7 + 3(n - 2)
What is......
61
Rewrite the equation in general form:
2y + 5x =14
What is.....
y =−5/2x+7
Solve the inequality AND graph the solution on a number line.
-4(2x + 3) ≥ 20
What is....
x < -4
On the number line:
Shaded circle, line going to the left.
A new gaming laptop was purchased for $1,800. f(x)=1800(0.88)x models the value of the laptop after x years.
What does this function tell you about the laptop’s value over time? Explain how you know.
What is...
The value of the laptop decreases by 12% each year.
1 -.88 = .12
.12 x 100= 12%
Identify the function family: f(x)=−|x|+4
What is.....
Absolute Value
***Earn Double***
A new gym opened and started with 1,250 members. Every year after, it increased by 85 members.
Write the explicit formula for this sequence.
What is.....
an=1250 + 85 (n−1)
Arithmetic Sequence - Every year add 85 members
What is the y intercept of the following equation?
7x - 3y = 21
What is....
- 7
Solve the inequality AND graph on a number line.
3 (x−4) < 27
What is.....
x < 13
On the number line:
open circle, shade to the left.
Solve the following equation for x:
4(2x−3) = 6x+10
What is....
x = 11
Is this function increasing, decreasing, constant, or both?
f(x) = -3x2 + 15x +13
What is.....
Decreasing
2 part answer -
Identify as arithmetic or geometric. Then determine common difference or common ratio.
−47, −38, −29, −20, −11, …
What is .......
Arithmetic
Common Difference of 9
Solve the Quadratic:
x2 - 64 = 0
What is....
x = 8 or x = -8
Is (2, 3) a solution to the system?
4x - 5y = -7
y = x + 1
What is....
Yes!
4(2) - 5(3) = -7 - True
3 = 2 + 1 - True
***Earn Double Points***
Identify the following for the equation
f(x) = 4(x - 2)(x+3)
Vertex, Axis of Symmetry, x-intercept, y-intercept
What is.....
Vertex: (-0.5, -25)
Axis of Symmetry: x = -0.5
x-intercept: (-3, 0) (2, 0)
y-intercept: (0, -24)
A parabola that opens upward has a maximum or minimum?
What is......
Minimum
Find the 9th term of the following sequence:
3, 9, 27, …
What is.....
9th term =19683
Common Ratio = 3
gn = 3(3)9-1
Factor the quadratic:
x2 − 11x + 24 = 0
What is....
x = 3
x = 8
Graph the inequality AND shade the region.
y > 3x - 4
What is....
solid line
shade to the left
Find the mean, median, mode, range, Q1, Q3, and IQR for the data set:
30, 12, 24, 18, 36, 15, 30, 21, 18, 27
What is....
Mean Median
Mode Range
Q1 Q3 IQR