Equations & Symbols
Arithmetic Sequence
Modeling Linear Functions
Analyzing Linear Inequalities
Function Notation
100
Symbol for greater than or equal to
>=
100
The sequence below is given:
-22, -9, 4, 17, 30 ...
What is the common difference for this sequence?
13
100
Using the graph below, identify the x-intercept and y-intercept. (Must write your answers as an ordered pair)
x-int: (2,0)
y-int: (0,-3)
100
A computer store is placing an order for computers and tablets. Each computer costs $875 costs $875, and each tablet costs $235. The store can spend at most $10,000 for these computers and tablets. The computer store has a limited amount of space for displaying the new computers and tablets. Each computer takes up 4 square feet of space, and each tablet takes up 3 square feet of space. The store has only 45 square feet of display space available for the new devices. The system of inequalities show can be used to determine possible combinations of computers, x, and tablets, y, the store can order.
875x+235y<=10000
4x+3y<=45
Which ordered pair represents an order that the store can purchase?
A. (8,4)
B. (10,2)
C. (7,9)
D. (5,9)
A. (8,4)
100
Given the function f(x)= -5x + 4, find f(11).
-51
200
Formula to find the slope of a scenario
(y_2-y_1)/(x_2-x_1
(rise)/(run)
200
The sequence below is given:
-13, -9, -5 ...
If this pattern continues, what would be the 21st term in the sequence?
67
200
Sarah bought a started tomato plant and is now checking the growth of her tomato plant for several weeks. She measures the height of the plant at different times and records the data in the table below.
Which of the following equations best models the height of the plant of over time based on the data provided?
f(x)=1.2x+15.2
f(x)=1.6x+15.2
f(x)=2.1x+14.0
f(x)=1.6x+12.0
f(x)=1.6x+15.2
200
Mrs. Parsons is planning a college tour and must keep the cost below $6000. The cost per student (x) is $250 while the cost per adult (y) is $275. Write an inequality to represent the relationship between the number of students and adults below $6000.
250x+275y<6000
200
A function f(t) has an initial amount of - 300 and a slope of 20. Write the function in slope intercept form.
f(t) = 20t - 300
300
Slope intercept formula
y=mx+b
300
A sequence is given: -13, -9, -5 ...
Which of the students below created the correct explicit formula to represent the sequence?
Andres
300
A company is tracking the amount of revenue (in thousands of dollars) they generate each month. The revenue can be modeled by the linear function f(x)=2x+3, where x is the number of months since the company started tracking.
If the company plans to track revenue for the first 12 months, what is the revenue?
$27,000
300
A system of linear inequalities is shown:
x<5
y> -2x+3
Which Statement is true for the point (0,3)?
A. The point (0,3) is a solution for the 2nd inequality but not the 1st inequality.
B. The point (0,3) is not a solution for this system of inequalities.
C. The point (0,3) is the only solution for this system of linear inequalities.
D. The point (0,3) is one of many solutions for this system of linear inequalities.
B. The point (0,3) is not a solution for this system of inequalities.
300
Nelson deposited $500 in a savings account and plans to add $50 per week to the account. Write a function f(x) to represent Nelson's savings account where x represent weeks and f(x) represents the total balance in the account.
f(x)=50x + 500
400
Recursive Formula for an Arithmetic Sequence
a_n=a_(n-1)+d
400
An arithmetic sequence is shown: 7,11,15,19...
What is the recursive formula that was used to create this sequence?
a_n=a_(n-1)+7, a_1=4
a_n=a_(n+1)+7, a_1=4
a_n=a_(n-1)+4, a_1=7
a_n=a_(n+1)+4, a_1=7
a_n=a_(n-1)+4, a_1=7
400
A company is tracking the amount of revenue (in thousands of dollars) they generate each month. The revenue can be modeled by the linear function f(x)=2x+3, where x is the number of months since the company started tracking.
Considering that the company projects a maximum revenue of $27,000 within the first year, what is the range of the function?
3000<=y<=27000
or
[3000,27000]
400
Which inequality symbol represents the graph below?
> greater than
400
The function g(x) = 4x + 30 is given where x represents the number of people who entered the store, and g(x) represents the amount of money earned from customer purchases. What type of numbers MUST represent the domain of the function?
whole numbers
500
Explicit Formula of an Arithmetic Sequence
a_n=a_1+d(n-1)
500
The first term in an arithmetic sequence is 5. The fourth term in the sequence is -4. The tenth term is -22.
Which function can be used to find the nth term of the sequence?
f(n)=-n
f(n)=n+4
f(n)=-3n+8
f(n)=(1/2)(n+5)+2
f(n)=-3n+8
500
A beautician borrowed some startup money to start her business. She charges each client a set amount for her services. The total profit P(c) she makes after c clients can be modeled by the function
P(c)=50c-200
Identify the key characteristics of the function below:
Slope:
x-int (as an ordered pair):
y-int (as an ordered pair):
Domain (in interval notation):
Range (in interval notation):
Slope:50
x-int (as an ordered pair): (4,0)
y-int (as an ordered pair): (0,-200)
Domain (in interval notation): [0,infinity)
Range (in interval notation):[-200,infinity)
500
A restaurant makes two kinds of bread: plain bread and cheesy bread. An order of plain bread requires 2 pounds of dough. An order of cheesy bread requires 3 pounds of dough and 1 pound of cheese. The restaurant has 80 pounds of dough and 20 pounds of cheese available each day.
Which system of inequalities represents the number of orders of plain bread, x, and cheesy bread, y, that can be made each day?
A.
2x+3y<=80
x<=20
B.
2x+3y<=80
y<=20
B.
2x+3y<=80
y<=20
500
A student works at a video game store after school. The student makes $10 per hour in addition to $5 per video game sold. If the student works for 8 hours on Saturday, what is the minimum number of video games the student needs to sell to earn at least $150 on Saturday?
14 video games