Unit 1A
Unit 1B
Unit 2
Unit 3
Unit 4
100
Identify the vocabulary term for the following definition.
Any term is an algebraic expression that never changes regardless of the value of any variables in the expression.
constant
100
Identify the vocabulary term for the following definition.
Any number that cannot be written as a fraction
Irrational number
100
Identify the vocabulary term for the following definition.
A set of numbers that are acted on by a function
Input
100
Identify the vocabulary term for the following definition.
A linear function that approximates the relationship between two variables in a scatter plot
Line of best fit
100
Identify the vocabulary term for the following definition.
The point (x,y) where two or more lines meet. For two functions f(x) and g(x), the x-cordinate of the point is the solution to the equation f(x) = g(x)
Point of intersection
200
Find the sum of the two expressions below. Write your answer in the simplest form.
Expression 1: 7x3-3x+5
Expression 2: 2x (4-x2)
3x3+11x+5
200
Identify the vocabulary term for the following definition.
For an expression written using x, the values of x for which the expression can be evaluated
Domain
200
Identify the vocabulary term for the following definition.
A visual way to determine whether or not a graph represents a function. If a vertical line is drawn anywhere on the graph and intersects the curve more than once, then the graph cannot represent a function because this indicates that there are two separate outputs, or y-values, for one input, or x-value.
Vertical line test
200
Identify the vocabulary term for the following definition.
A relationship between variables where a change in one variable corresponds to approximately the same change in the other variable over any interval
Linear association
200
Identify the vocabulary term for the following definition.
A relationship between two functions with the same input.
One- variable inequality OR one-variable equation
300
When solving the equation 3x-2=13, Jocelyn used a property of algebra to transform the equation into 3x=15. What property did she use?
Addition property of equality
300
Is the following expression rational or irrational? Explain your reasoning.
sqrt(4) + sqrt(5)
Irrational
300
Is the following data a function. Explain why or why not.
No, because when the input is 1, it has two outputs
300
The table below represents the distance Sarah has traveled over time on her morning commute. Calculate the correlation coefficient. Round your answer to the nearest thousandths.
r=.996
300
What value of x satisfies the equation
2x+3 = 9-x
x=2
400
The width of a rectangle is 5 inches more than its length. The perimeter of the rectangle is 58 inches. Write an equation that could be used to find the length of the rectangle.
2x+2(x+5) = 58
400
Solve algebraically for x.
0=(x+4)2-36
x = 2 and x = -10
400
Rewrite the explicit function as a recusive function.
y-5 = 2(x+1)
f(-1) = 5, f(n)= f(n-1)+2
400
TJ is training for a marathon. The table below shows the distance (in meters) that TJ ran over time (in seconds). Determine the average rate of change between 4.2 seconds and 9.8 seconds, include units. Round to the nearest tenth.
8.9 meters per second
400
Fill in the blank to create an equation that has infinite solutions and explain why that equation has infinite solutions.
3 (2x-4) =
6x-12 OR 3(2x-4)
500
Solve for x in 2(x+3) -5(x-2)=4
x=4
500
Do the equations below have exactly the same solution(s)? Explain why or why not.
x2=9
x3=27
No
500
On Saturday morning, Avery took a hike in the hills near her house. The table below shows the cumulative number of calories burned on Saturday. Write an equation for a line that represents Avery's cumulative calories burned as a function of time, in minutes. be sure to define your variables
y=4.6x+545
y-568=4.6(x-5)
f(5)=568, f(n)=f(n-1)+4.6
500
Using the plot below, assess how well the linear regression models the data and explain your answer.
The linear regression models the data well...
500
Explain how to use your graph to determine the solution to the inequality
x+3>= 2x+1
Solution is
x<= 2