Which expression is equivalent to 9a + 12? 3(3a + 2)
3(6a + 9)
3(3a + 4)
3(6a + 3)
Question 2(Multiple Choice Worth 1 points)
(03.01 LC)

A theater company charges $5.50 per ticket for people of all age groups. If c represents the total number of children who bought tickets and a represents the total number of adults who bought tickets, which expression best represents the total money earned by the company from the sale of tickets?

5.5(c + a)
5.5c + a
c + 5.5a
11(c + a)
Question 3(Multiple Choice Worth 1 points)
(03.01 LC)

Sue and Kim earn $52 per week for delivering magazines. Sue worked for x weeks and earned an additional total bonus of $12. Kim worked for y weeks. Which expression shows the total money, in dollars, that Sue and Kim earned for delivering magazines?

64x + 52y
52x − 12 + 52y
52x + 64y
52x + 12 + 52y
Question 4(Multiple Choice Worth 1 points)
(03.02 MC)

Robbie did a survey of four butterfly parks and wrote the following observations:

Butterfly Park Survey
Park Number of White Butterflies Total Number of Butterflies
A 24 86
B 43 92
C 12 68
D 32 52

Based on the survey, which park had the greatest percentage of white butterflies?
Park A
Park B
Park C
Park D
Question 5(Multiple Choice Worth 1 points)
(03.02 MC)

Jenny surveyed 40 students at her school and found that 0.55 of the students she surveyed said their favorite class is math. Another 25% of the students she surveyed reported that their favorite class is science. How many more students in the survey prefer math over science?

12
22
30
32
Question 6(Multiple Choice Worth 1 points)
(03.02 MC)

Tina, Dora, Wilson, and Kane together placed a total of 25 cakes on a tray. Tina placed 0.24 of the cakes, Dora placed 9 of the 25 cakes, Wilson placed 20% of the cakes, and Kane placed the remaining cakes. Who placed the most cakes?

Tina
Dora
Wilson
Kane
Question 7(Multiple Choice Worth 1 points)
(03.04 MC)

Solve for x:

negative 9 over 8, multiplied by x minus 7 equals negative 25

−36
−16
16
36
Question 8(Multiple Choice Worth 1 points)
(03.04 MC)

Flora has $50 to spend on clothes. She wants to buy a pair of jeans for $20 and spend the rest on t-shirts. Each t-shirt costs $6. Which inequality represents the number of t-shirts she can purchase?

x ≥ 5
x ≤ 5
x ≤ 11
x ≥ 11
Question 9(Multiple Choice Worth 1 points)
(03.04 LC)

The sum of two numbers is 72. The greater number is 8 more than the smaller number. Which equation can be used to solve for the smaller number?

x − (x + 8) = 72
x + (x + 8) = 72
x(x + 8) = 72
x(x − 8) = 72
Question 10(Multiple Choice Worth 1 points)
(03.05 MC)

Rodney needs $90 to buy a fish tank. He has saved $35 and plans to work as a babysitter to earn $5 per hour. Which inequality shows the minimum number of hours, n, that Rodney should work as a babysitter to earn enough to buy the fish tank?

35 + 5n ≥ 90, so n ≥ 11
35 + 5n ≤ 90, so n ≤ 11
5n ≥ 90 + 35, so n ≥ 25
5n ≤ 90 + 35, so n ≤ 25
Question 11(Multiple Choice Worth 1 points)
(03.05 MC)

Cindy works in a cake shop and earns $42 per day. She earns an extra $4 for each cake she sells. If Cindy wants to earn at least $50 per day, which inequality shows the minimum number of cakes, n, that she should sell?

42 + 4n ≤ 50, so n ≤ 2
42 + 4n ≥ 50, so n ≥ 4
42 + 4n ≥ 50, so n ≥ 2
42 + 4n ≤ 50, so n ≤ 4
Question 12(Multiple Choice Worth 1 points)
(03.05 MC)

Lucia wants to buy some posters over the Internet. Each poster costs $6.67 and has a shipping cost of $9.99 per order. If Lucia wants to spend no more than $30 for her posters, which inequality shows the maximum number of posters, p, that she can buy?

9.99 − 6.67p ≤ 30, so p ≤ 2
9.99 + 6.67p ≤ 30, so p ≤ 3
9.99p + 6.67p ≤ 30, so p ≤ 4
9.99p − 6.67p ≤ 30, so p ≤ 5
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FDK131.10

41/2 - 1 1/3 what is the answer as a fraction?

Someone answer this asap rn for ! a discount store’s prices are 25% lower than department store prices. the function c(x) = 0.75x can be used to determine the cost c, in dollars, of an item, where x is the department store price, in dollars. if the item has not sold in one month, the discount store takes an additional 20% off the discounted price and an additional $5 off the total purchase. the function d(y) = 0.80y - 5 can be used to find d, the cost, in dollars, of an item that has not been sold for a month, where y is the discount store price, in dollars. create a function d(c(x)) that represents the final price of an item when a costumer buys an item that has been in the discount store for a month. d(c(x)) =

1. spending nights at a 3 star hotel in paris, france or spending nights at a 5 star hotel in new york city. 2. cell phone plans, comparing monthly fee and price per text message. you must use basic phones for the purpose of this project. vacation situation: you have graduated from high school and you are planning to go on a vacation by yourself. you have always wanted to travel to paris, france, but you need to consider the price of the ticket as well as the cost of hotel per night. as an alternative, you want to look into spending the same number of nights in new york city at a luxurious 5 star hotel. now you need to determine whether you should go to paris which will cost you for flight and hotel or stay in nyc that will cost you only for the hotel. note: you are spending the same number of nights at each destination. assignment: gather information from travel agencies, such as american airline, orbitz, expedia, or kayak, through their website for cost of flight and cost of hotel. then write a system of linear equations for the two plans and create a graph. use the methods we have been studying to determine which plan is better based on the number of nights you decide to stay if you had $1500 to spend for this vacation. cell phone plans situation: you have graduated from high school and moved away to college. your parents have decided that it’s time for you to pay for your own cell phone. you have to stick to a strict budget. now you need to determine whether you should go with a plan that costs more per month but charges less per text message or a cheaper plan that charges more per message. assignment: you are to choose from a cellphone company that offers two talk and text plans. the company charges a monthly service fee of $20 for either plan the customer chooses: talk and text plan a charges five cents a minutes and twenty dollars for 250 texts. talk and text plan b charges ten cents a minute (first 100 minutes free) and fifteen dollars for 200 texts. note: assume you are purchasing a basic phone, which is $0 with 2-year contract. you cannot purchase unlimited text messaging for this exercise. use the methods we have been studying to determine which plan is better based on the number of text messages you send per month if you only have $75 to spend each month. project details you will decide which project you want to do. after you decide on a project, you will need to: 1) collect the data if necessary. 2) write the system of linear equations and a word problem once the data has been collected. 3) use the methods we have been studying (graphing and solving algebraically) to find the solution to the written system. 4) design the final display of the project on a poster board. be creative! project rubric 2 points = data for the scenarios. (only applicable to vacation plans) 1 points = data 1 points = sources documented 8 points = word problem and the system of equations 2 points = all variables are defined 6 points = both equations are accurate 8 points = graphic solution 4 points = each line is correctly graphed 2 points = labels and titles 2 points = point of intersection 8 points = algebraic solution and explanation 4 points = correct solving 2 points = explain your work and how you came up with the parameters 2 points = check 14 points = final project 4 points = creativity 4 points = contains the analysis of your equations 6 points = final product is organized and clear final project checklist – refer to the rubric above make sure you have the following items on your final project… • collected data (if necessary) • system of linear equations with variables defined • graphs of both equations (this can be done on desmos and printed or drawn by hand) • algebraic solution with work and units • analysis: o if you chose vacation plan: for how many nights are the prices going to be same? if you had $1500 to spend for your vacation, which plan would you choose and why? o if you chose talk and text plan: for how many minutes will both plans hare the same cost? if you had $75 to spend each month, which plan should you choose and why? vacation – data organizer 1) define the variables 2) complete the following chart to you come up with a systems of linear equations destination paris, france new york city hotel rating   name of hotel price of hotel (per night) compare same nights price of flight linear equation 3) write an equation for staying in paris, france. 4) write an equation for staying in new york, ny. talk and text plans – data organizer 1) define the variables. 2) express plan a as an equation. 3) express plan b as an equation. *make sure you take into consideration that first 100 minutes of talking on the phone is free!