FSA Mathematics Equation Editor Item Tutorial

Getting Ready for the 2021 Florida Standards Assessment (FSA) Grade 7 Mathematics Educators Resource —FSA Mathematics Equation Editor Item Tutorial FSA Scientific Calculator Florida Computer-Based Testing Work Folder [PDF] Grade 6 Mathematics Test Item Specifications [PDF] Grade 7 Mathematics Test Item Specifications [PDF] Grade 8 Mathematics Test Item Specifications [PDF] Mathematics Test Design Summary [PDF] Department of Mathematics and Science Division of Academics Miami-Dade County Public Schools *Compiled by Miami-Dade County Public Schools 7th Grade FSA Spiral Review Table of Contents MAFS.7.RP.1.1 ……………………………………………………………………………………………………………………. 1 MAFS.7.RP.1.1 FSA Practice …………………………………………………………………………………………………. 4 MAFS.7.RP.1.2 ……………………………………………………………………………………………………………………. 7 MAFS.7.RP.1.2 FSA Practice …………………………………………………………………………………………….. 11 MAFS.7.RP.1.3 ………………………………………………………………………………………………………………….. 14 MAFS.7.RP.1.3-FSA Practice ……………………………………………………………………………………………….. 18 MAFS.7.EE.1.1 ………………………………………………………………………………………………………………….. 21 MAFS.7.EE.1.1-FSA Practice ……………………………………………………………………………………………….. 24 MAFS.7.EE.1.2 ………………………………………………………………………………………………………………….. 27 MAFS.7.EE.1.2-FSA Practice ……………………………………………………………………………………………….. 30 MAFS.7.EE.2.3 ………………………………………………………………………………………………………………….. 32 MAFS.7.EE.2.3-FSA Practice ……………………………………………………………………………………………….. 36 MAFS.7.EE.2.4 ………………………………………………………………………………………………………………….. 39 MAFS.7.EE.2.4-FSA Practice ……………………………………………………………………………………………….. 42 MAFS.7.NS.1.1………………………………………………………………………………………………………………….. 46 MAFS.7.NS.1.1-FSA Practice ………………………………………………………………………………………………. 49 MAFS.7.NS.1.2………………………………………………………………………………………………………………….. 53 MAFS.7.NS.1.2-FSA Practice ………………………………………………………………………………………………. 56 MAFS.7.NS.1.3………………………………………………………………………………………………………………….. 59 MAFS.7.NS.1.3-FSA Practice ………………………………………………………………………………………………. 61 MAFS.7.G.1.1 …………………………………………………………………………………………………………………… 64 MAFS.7.G.1.1-FSA Practice ………………………………………………………………………………………………… 66 MAFS.7.G.1.2 …………………………………………………………………………………………………………………… 68 MAFS.7.G.1.2-FSA Practice ………………………………………………………………………………………………… 71 MAFS.7.G.1.3 …………………………………………………………………………………………………………………… 73 MAFS.7.G.1.3-FSA Practice ………………………………………………………………………………………………… 76 MAFS.7.G.2.4 …………………………………………………………………………………………………………………… 79 MAFS.7.G.2.4-FSA Practice ………………………………………………………………………………………………… 84 MAFS.7.G.2.5 …………………………………………………………………………………………………………………… 86 MAFS.7.G.2.5-FSA Practice ………………………………………………………………………………………………… 88 MAFS.7.G.2.6 …………………………………………………………………………………………………………………… 91 MAFS.7.G.2.6-FSA Practice ………………………………………………………………………………………………… 93 MAFS.7.SP.1.1 ………………………………………………………………………………………………………………….. 96 MAFS.7.SP.1.1-FSA Practice ……………………………………………………………………………………………….. 98 MAFS.7.SP.1.2 ………………………………………………………………………………………………………………….. 99 MAFS.7.SP.1.2-FSA Practice ……………………………………………………………………………………………… 102 MAFS.7.SP.2.3 ………………………………………………………………………………………………………………… 104 MAFS.7.SP.2.3-FSA Practice ……………………………………………………………………………………………… 105 MAFS.7.SP.2.4 ………………………………………………………………………………………………………………… 107 MAFS.7.SP.2.4-FSA Practice ……………………………………………………………………………………………… 109 MAFS.7.SP.3.5 ………………………………………………………………………………………………………………… 111 MAFS.7.SP.3.5-FSA Practice ……………………………………………………………………………………………… 113 MAFS.7.SP.3.6 ………………………………………………………………………………………………………………… 115 MAFS.7.SP.3.6-FSA Practice ……………………………………………………………………………………………… 117 MAFS.7.SP.3.7 ………………………………………………………………………………………………………………… 119 MAFS.7.SP.3.7-FSA Practice ……………………………………………………………………………………………… 122 MAFS.7.SP.3.8 ………………………………………………………………………………………………………………… 124 MAFS.7.SP.3.8-FSA Practice ……………………………………………………………………………………………… 127 Page |1 . MAFS.7.RP.1.1 Juan learned that gear ratio refers to the number of times one gear rotates in relation to 1 1 another gear. The ratio of the gears in the picture below is 1 to . 2 1. 2 Write two unit rates to represent the gear ratio above. (Numbers can be used more than once.) 1 2 1 3 3 2 1 1 1 2 3 2. Explain what each unit rate means in the context of the problem. : : Page |2 3. 4. A. The fountain in the pond behind Kevin’s school has a pump that recirculates 60 gallons 1 of water every 5 of an hour. Express this rate as a unit rate in gallons per hour. B. The fountain in the pond at the public park near Kevin’s house has a pump that 1 recirculates 75 gallons of water in of an hour. Express this rate as a unit rate in 4 gallons per hour. C. Which fountain flows at a faster rate? Explain. Page |3 5. Roy is going to increase the size of his patio to make room for a new BBQ grill. The ratio 1 3 of the area of the old patio to the area of the new patio is 2 4 : 64. Convert this ratio to a unit rate and explain what this unit rate means in the context of this problem. Page |4 MAFS.7.RP.1.1 FSA Practice 1. 3 Robin is making bows to sell at her mother’s yard sale. She will use 4 foot of red ribbon 2 and 3 foot of blue ribbon to make each bow. A. What is the ratio of the length of red ribbon to blue ribbon? B. What is the ratio of the length of red ribbon to blue ribbon written as a unit rate? 1 8 3 4 1 to 2 3 8 9 C. What is the ratio of the length of blue ribbon to red ribbon? Page |5 D. What is the ratio of the length of blue ribbon to red ribbon written as a unit rate? 1 8 3 4 1 to 2 3 8 9 2. 2 Angela and Jayden were at track practice. The track is 5 kilometers around. Angela ran 1 lap in 2 minutes. Jayden ran 3 laps in 5 minutes. A. How many minutes does it take Angela to run one kilometer? What about Jayden? B. How far does Angela run in one minute? What about Jayden? C. Who is running faster? Explain your reasoning. Page |6 2 3. Molly ran of a mile in 8 minutes. If Molly runs at that speed, how long will it take her to 3 run one mile? 4. Travis was attempting to make muffins to take to a neighbor that had just moved in down 3 1 the street. The recipe that he was working with required cup of sugar and cup of butter. 4 8 Travis accidentally put a whole cup of butter in the mix. A. What is the ratio of sugar to butter in the original recipe? What amount of sugar does Travis need to put into the mix to have the same ratio of sugar to butter that the original recipe calls for? B. If Travis wants to keep the ratios the same as they are in the original recipe, how will the amounts of all the other ingredients for this new mixture compare to the amounts for a single batch of muffins? 3 C. The original recipe called for cup of blueberries. 8 What is the ratio of blueberries to butter in the recipe? How many cups of blueberries are needed in the new enlarged mixture? 5. This got Travis wondering how he could remedy similar mistakes if he were to dump in a single cup of some of the other ingredients. Assume he wants to keep the ratios the same. A. How many cups of sugar are needed if a single cup of blueberries is used in the mix? B. How many cups of butter are needed if a single cup of sugar is used in the mix? C. How many cups of blueberries are needed for each cup of sugar? Page |7 MAFS.7.RP.1.2 1. Select each option that represents a proportional relationship between x and y. Page |8 Evergreen Elementary School has an average of six teachers per 138 second grade students. In third grade, there are 196 students for every seven teachers. The ratio of teachers to students in the fourth grade is three to 69. There are 207 fifth grade students for every nine teachers. Part A: Graph the four teacher to student ratios as ordered pairs. Teacher to Student Ratios 220 200 180 Number of Students 2. 160 140 120 100 80 60 40 20 0 0 1 2 3 4 5 6 7 8 9 10 Number of Teachers Part B: Use the graph to determine if the two quantities, number of teachers and number of students, are proportionally related. Explain. Write your answer in the space provided. Page |9 3. What is the constant of proportionality between x and y? Express as a decimal. 4. 8 0.75 6 1.33 b= y P a g e | 10 5. P a g e | 11 MAFS.7.RP.1.2 – FSA Practice 1. A business in the Florida Keys offers Key West Jet Ski Tours for the following rates: Tour Prices Time (in hours) 3 4 hour 1 Price (in dollars) $90.00 1 2 hours $130.00 2 hours $180.00 Are the two quantities, time and price, proportionally related? Explain. Write your answer in the space provided. 2. P a g e | 12 3. 4. P a g e | 13 5. The amount Sandy earns from babysitting is proportional to the number of hours she works. The graph represents this proportional relationship. Babysitting Graph Earnings (in dollars) Time Worked (in hours) A. Explain what the point (0, 0) represents in the context of this problem. Write your answer in the space provided. B. Explain what the point (6, 45) represents in the context of this problem. Write your answer in the space provided. C. Find the hourly rate that Sandy charges and write this as an ordered pair. Write your answer in the space provided. P a g e | 14 . MAFS.7.RP.1.3 1. Use the information provided to answer Part A through Part D. P a g e | 15 2. Use the information provided to answer Part A and Part B for question #2. P a g e | 16 3. Tiffany plans to use $275 she earned from a summer job to buy some new clothes for school. She found several items she likes but is trying to decide if she has enough money to buy all of them. She wants to buy three pairs of jeans for $42 each and five 1 shirts with an average cost of $27 per shirt. She will have to pay 62 % sales tax. A. If she buys all of these items, how much tax will she have to pay? B. Will she have enough money for the entire purchase? Explain how you know whether she will have enough money. Write your answer in the space provided. 4. Today, gasoline prices are $3.44 per gallon. One year ago, gasoline prices were $3.75 per gallon. Determine the percent of change in the gasoline price from a year ago to today. Show how you calculated this change and interpret its meaning in the context of this problem. Write your answer in the space provided. 5. Kennedy wants to use an internet site to sell his game system. The website will charge him a fee that will be deducted from the selling price. 1 A. Suppose the fee is 9 % of the selling price. Determine the amount of the fee if 2 Kennedy sells his system for $50. B. How much money will Kennedy receive after the fee has been deducted? P a g e | 17 6. 1 A $1,500 loan has an annual interest rate of 4 4% on the amount borrowed. How much time has elapsed if the interest is now $127.50? P a g e | 18 MAFS.7.RP.1.3-FSA Practice 1. Use the information provided to answer Part A and Part B. The students in Naomi’s class sold calendars for a fund-raiser this year and last year. This year, the selling price of each calendar was $13.25. The price this year represents 6% more than the selling price of each calendar last year. Part B The students in Naomi’s class earned 20% of the money from selling these calendars: They sold 650 calendars at last year’s selling price. They sold 600 calendars at this year’s selling price. 2. 1 2 A recipe that makes 16 cookies calls for 4 cup of sugar and 3 cup of flour. Janelle wants to proportionally increase these amounts to get a new recipe using one cup of sugar. A. Using the new recipe, how much flour should she use? B. How many cookies can she make with the new recipe? P a g e | 19 3. You have a coupon worth $18 off the purchase of a scientific calculator. At the same time the calculator is offered with a discount of 15%, but no further discounts may be applied. For what tag price on the calculator do you pay the same amount for each discount? 4. The sales team at an electronics store sold 48 computers last month. The manager at the store wants to encourage the sales team to sell more computers and is going to give all the sales team members a bonus if the number of computers sold increases by 30% in the next month. How many computers must the sales team sell to receive the bonus? Explain your reasoning. Write your answer in the space provided. 5. Alexandra buys sweatshirts for $12 each. In her store, she sells each sweatshirt for $30. Part A As part of a promotion, Alexandra discounts the college sweatshirts by 25%. If a customer purchases 2 college sweatshirts at a sales tax of 4%, what is the total price for this customer? Show your work or explain your answer. P a g e | 20 Part B During a clearance sale, Alexandra discounts the Halloween sweatshirts by 55%. What is the percentage of profit Alexandra will make on each Halloween sweatshirt she sells? Show your work or explain your answer. 6. Write an equation to find the amount of simple interest, 𝑨, earned on a $600 investment 1 after 1 2 years if the interest rate is 𝟐%. P a g e | 21 MAFS.7.EE.1.1 1. 2. Mark which expressions are equivalent to 8 – 2(5x – 3). Explain or show work to justify your decision. Expression A. 6(5x – 3) B. 8 – 10x + 6 C. 8 – (10x – 6) D. 8 – 10x – 6 E. 3. –10x + 14 Equivalent Explanation P a g e | 22 1 3 18 )? 7 4. What is the simplest form of 5. Use factoring to rewrite each expression in an equivalent form. Use the fewest number of terms possible. Show each step of your work. 45𝑥 − A. 4x + 8 + 2 B. 3x – 12 + 6x + 9 6. Patricia, Hugo and Sun work at a music store. Each week, Patricia works three more than twice the number of hours that Hugo works. Sun works 2 less than Hugo. A. Let x represent the number of hours that Hugo works each week. The number of hours that Hugo, Patricia, and Sun work can be modeled is shown below. Write an expression that represents each person’s number of hours. Hugo ___________ Patricia ___________ Sun ___________ P a g e | 23 B. Model the total number of hours that Patricia and Sun work together. Draw the result below. Then write an expression for the drawing. C. Like tiles are tiles that have the same shape. Using your model, group like tiles together and remove the zero pairs from all three people (include Hugo). Draw the result below. Then write an expression for your drawing. P a g e | 24 MAFS.7.EE.1.1-FSA Practice 1. 2. Mark all of the expressions in the table that are equivalent to: −1.8 𝑥 − 11.76 𝑦 + 10.8. Explain or show work to justify your decisions. Expression A. −1.8𝑥 − 11.76𝑦 + 10.8 + 3.06 − 3.06 B. −1.8 𝑥 + 11.76𝑦 − 10.8 C. 1 ∙ −1.8𝑥 − 11.76𝑦 + 10.8 ∙ 2 2 D. −1.8𝑥 − 11.76𝑦 + 0 ∙ 4.2𝑧 + 10.8 E. − 1.8𝑥 − 11.76𝑦 + 10.8 Equivalent Explanation P a g e | 25 3. A regular octagon has a side length of 𝑥. 3 𝑥 4 3 𝑥 4 1 − 4. A regular hexagon has a side length of 12 − 1 − 4. 12 − 𝑥 The difference between the perimeters of the two shapes is represented by the expression 8 3 𝑥 4 − 1 4 − 6 12 − 𝑥 . Write an expression equivalent to 8 Show all work neatly and clearly. 4. 3 𝑥 4 1 − 4 − 6 12 − 𝑥 using the fewest possible terms. The students in Mr. Sanchez’s class are converting distances measured in miles to kilometers. To estimate the number of kilometers, Abby takes the number of miles, doubles it, then subtracts 20% of the result to create the expression, 2𝑚 − 0.2 2𝑚 . Renato first divides the number of miles by 5, then multiplies the result by 8 to create the 𝑚 expression, 8 5 . Determine if the two expressions are equivalent. P a g e | 26 5. What is the difference of the two expressions? 3 2 𝑥+9 − 𝑥−3 7 7 P a g e | 27 Neutral-Questions for this standard may or may not allow the use of a calculator. MAFS.7.EE.1.2 1. 2. Andrew sells treats from his ice cream cart. The items he sells along with their prices are shown in the table. Item Price Quantity Frosty Mango Pop $1.75 a Frozen Fruit Yogurt $2.25 b Sundae Swirl Cup $2.75 a Chocolate Chip Cone $2.25 c Fudge Sandwich $1.75 b Suppose Andrew sells the quantities of each item given by the variables in the table. What does the expression 1.75𝑎 + 2.25𝑏 + 2.75𝑎 + 2.25…
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