Sequences
Given the linear equation f(x) = 2x - 7, what is the value of f(3)?
f(3)=-1
Olivia collects stickers. She starts with 30 stickers and adds 5 stickers to her collection each week.
Is the relationship between weeks and number of stickers collected linear, exponential, or neither?
A) Linear
B) Exponential
C) Neither
Is the relationship between weeks and number of stickers collected discrete or continuous?
A) Discrete
B) Continuous
Linear
Discrete
Write the domain of the graph below:
Domain: [-4,3]
Is the following graph a function?
No
Category: Movies
Which movie features a character named "Woody" who is a cowboy toy?
Toy Story
If the first two terms of an arithmetic sequence are 8 and 14, what would the next two numbers be?
Sequence: 8, 14, ____, ____, …
What would be the explicit equation for the sequence in function notation?
8, 14, 20, 26
Explicit Equation: f(x) = 6x + 2
Given the table of values below, write the equation of the line in slope-intercept form.
y = -2x + 1
Find x if f(x) = 3
x = -2
Which is the correct interval notation for the number line graph below?
(-infty,-3]
Category: Pop Culture
What Netflix series follows a group of high school students solving a mystery surrounding a missing girl, and features characters like Eleven and Mike?
Stranger Things
Carlos just started a new job as a marketing manager where he earns $50,000 a year. His company guarantees a 4% annual raise to keep up with inflation. Carlos's starting salary is $50,000. (Hint: This is t=0.)
Write an explicit function that represents Carlos’s salary.
S(t)=50,000(1.04)^t
Simplify:
5x^4y
Give the interval(s) where the graph is increasing:
(-4,-2) and (0,1)
Solve for x:
7x − 4 = 5(x + 3) + 8
x = 13.5
Category: Literature
What is the name of the fictional school in Harry Potter where the main characters study magic?
Hogwarts School of Witchcraft and Wizardry
Find the missing terms of the geometric sequence represented in the table, then write the explicit equation for the sequence.
f(n)=3(2)^n
Simplify completely:
5x^4y^3sqrt(2x)
Two friends, Emma and Liam, are saving money for a new laptop. Both started with some money, and they both have part-time jobs where they are paid by the hour. The function that models Emma's projected savings is E(t)=18t+100, where E(t) represents Emma's total savings after t hours worked. The function that models Liam's projected savings is L(t)=14t+150, where L(t) represents Liam's total savings after t hours worked.
What does E(t)=L(t) mean in this context?
The equation E(t)=L(t) means that Emma and Liam will have the same total amount of savings after working the same number of hours. In other words, it represents the point in time when their savings are equal.
Translate the following sentence into a mathematical inequality, then solve:
“The difference between three times a number and 5 is at least 10.”
x>=5
Category: Geography
What is the longest river in the world?
The Nile River
The first term in a sequence is 200. The sequence decreases by 15% each term. What is the 7th term in the sequence (round to the tenth)?
t(7) = 75.4
Simplify completely, leaving no negative exponents in your final answer:
a^8/9
Draw a graph that matches the following description
Answers will vary.
At the start of a movie, there is an unknown number of moviegoers in the theater. Then:
• Each moviegoer invites a friend, doubling the number of people in the theater.
• After that, 15 more people enter the theater.
• When the movie ends, only a fraction of the people stay to watch the credits, and ⅓ of the people remain.
• At the end, there are 90 people in the theater.
Create an equation that correctly represents the story above and can be used to find the number of moviegoers at the start of the movie. Then solve the equation.
127.5 people
Category: Science
What is the hardest natural substance on Earth?
Diamond