Vocabulary
Linear and Exponential Functions
Writing Equations
Recursive and Explicit Rules
Grab Bag
100
This is the value being added between terms in an arithmetic sequence.
What is the Common Difference?
100
What type of function comes from a geometric sequence?
What is Exponential?
100
When graphing the equation f(x) = -3x + 4, this is the slope.
What is -3?
100
Write the explicit rule for the sequence with a first term of 6 and a common ratio of 3.
What is f(x) = 2(3)^x ?
100
Write the following equation in simplified Slope-Intercept Form: 2x - 4y = 8
What is y = 1/2x - 2?
200
This is the value represented by "b" in the explicit equation for a geometric sequence.
What is the Common Ratio?
200
A ______ function can be created from an arithmetic sequence.
What is Linear?
200
This is the value of the y-intercept for a line that goes through the ordered pairs (3, 5) and (-1, 9)
What is 8?
200
Given the recursive rule f(3) = 4, f(x) = f(x-1) + 3 List the first 5 terms of the sequence.
What is -2, 1, 4, 7, 10?
200
Given the following equations, find g(3) - h(4). g(x) = -5x + 10 h(x) = 2x + 8
What is -21?
300
This is the form of a linear equation represented by "Ax + By = C"
What is Standard Form?
300
Given the sequence 9, 4, -1, -6 ... what would the tenth term be?
What is -36?
300
This is the standard form equation of a line with a slope of 2/3 and a y-intercept of -5.
What is 2x - 3y = 15?
300
Given the following information, write a linear equation to represent the function: f(2) = 8 and f(6) = -4
What is f(x) = -3x + 14?
300
Ms. Baroff is collecting pens to practice calligraphy. She currently has 4 pens, but is planning on buying 2 more each week for the next 5 weeks. What is the range of this scenario?
What is {4, 6, 8, 10, 12, 14}?
400
When graphing an arithmetic sequence, the _____ is the same value as the common difference.
What is the Slope?
400
Given the sequence: 100, 95, 90, 85... find f(30).
What is -45?
400
This is the equation of a line in slope-intercept form that goes through the points (-2, 6) and (4, 3).
What is y = -1/2 x + 5?
400
Given the equation f(x) = -1/2 x + 5, write a recursive rule to represent the sequence.
What is f(0) = 5, f(x) = f(x-1) - 1/2 ?
400
Solve the following equation for x: 3 - 5(2x + 1) = 4x - 8 + 3
What is x = 3/14?
500
This is the value of x when trying to find the y-intercept.
What is the Zero?
500
Write a linear or exponential function to represent the following sequence: 9, -18, 36, -72
What is f(x) = -4.5(-2)^x?
500
This is the ordered pair representing the x-intercept in a linear equation that has a slope of -3 and passes through the point (2,8).
What is (0, 14/3)?
500
Given the recursive rule f(1) = 12, f(x) = f(x-1) - 6 Find f(11).
What is -48?
500
Given a geometric sequence with a first term of -3 and a common ratio of 7, find f(6).
What is -50,421?