Algebraic Expressions
Equations and Order of Operations
Relations
Functions (Graphs)
Functions (Equations)
100
Write a verbal expression for the following:
5 + 6m^3
ex. five more than the product of six m cubed
ex. five plus 6 times m to the 3rd power
100
What does PEMDAS stand for?
Parentheses
Exponents
Multiplication and Division
Addition and Subtraction
100
Draw me a graph/coordinate plane with the following labels:
Y-axis
X-axis
The 4 quadrants (ex. Q1, Q2, etc.)
The "origin"
Sample answer:
100
Determine whether the following is a function or not:
Not a function; would not pass the vertical line test
100
y=4x+6
x=-2, y=-2
x=-1, y=2
x=0, y=6
x=1, y=10
x=2, y=14
200
Write an algebraic expression for the following:
two thirds of a number d to the third power
2/3d^3
200
Evaluate the Expression
5+2^2
9
200
Determine whether this is a function or not
It is not a function!
When x=4 there are two outputs (y-values)
200
Determine whether the following is a function or not:
It is a function
200
What is a function?
A function is an equation/graph that represents the relationship between x/y, domain/range, input/output
300
Evaluate the following expression:
-4(5-2t)
-20+8t
300
Solve the following
z=63div(3^2-2)
9
300
The graph represents the height of a bungee jumper
Sample Answer:
The bungee jumper was standing for awhile, jumped and had an extreme drop in how high up they were. They bounced back up and down two more times before settling down fully
300
Identify the intercepts and determine if the symmetry of the following function:
X-Intercept: x=1.5
Y-Intercept: y=3
Symmetry: Not symmetrical (not a mirror of itself)
300
Solve the following
f(-4)=2x+4
f(-4)=2(-4)+4
f(-4)=-4
400
Rewrite the Expression
(8-3p)(-2)
-16+6p
400
Find the solution set of the equation if the replacement set is x:{1, 3, 5, 7, 9}
3x-11=16
{9}
400
Determine the domain and range of the following relation:
(2,5) , (-1,3) , (0,-1) , (3,3), (-4, -2)
Domain: -4, -1, 0, 2, 3
Range: -2, -1, 3, 5
400
If asked to describe the end behavior and extrema of a function, what 7qualities is the problem asking you to describe?
Where the function is positive (above the x-axis)
Where the function is negative (below the x-axis)
Where the function is increasing (left to right)
Where the function is decreasing (left to right)
The relative maximum
The relative minimum
End Behavior
400
If f(x)=6x+7 and g(x)=x2-4, find f(2)+g(2)
f(2)+g(2)=19
500
A video store chain has three locations. Use the information in the table below to write and evaluate an expression to estimate the total number of DVDs sold over a 4-day period.
4(145+211+184)
2160
500
(3 xx 5)t+(21-12)=15t+3^2
all real numbers!
500
Express the following relation as a mapping, table, and graph
(0,2) , (1,3) , (2,4) , (3,5)
500
Identify the intercepts, relative maximum, relative minimum, and describe the function's end behavior
X-Intercept(s): x=-3, x=-1, x=1
Y-Intercept(s): x=-3
Relative Maximum: 1
Relative Minimum: -4
End Behavior: As x decreases, the function decreases, as x increases, the function increases
(End behavior is looking at x increasing or decreasing on either end and determining if the graph is increasing or decreasing)
500
Solve 3[f(t)]+2 if f(t)=2t3
6t3+2