Ratios/Rates Order of Ops/ Equations Fractions/ Volume Line PlotMMMR Integers 10 10 10 10 10 20 20 20 20 20 30 30 30 30 30 40 40 40 40 40 50 50 50 50 50 Category 1 questions follow Question There are 6 broken phones and 8 working phones. Draw a model to represent the phones. Use squares for broken phones and circles for working phones. Then write the ratio of broken phones to working phones in simplest form. Answer 6:8 = 3:4 Question It costs $4 per hamburger at a fair. If a customer purchases 28 hamburgers, how much money do they spend? Answer $112 dollars. Question A customer spent $78 dollars at a food truck buying 26 hot dogs for his family. Express their purchase as a rate. What is the cost per hot dog? Answer $78 26 βππ‘ ππππ = $3 1 βππ‘ πππ He spent $3 per hot dog. Question The ratio of rides to game booths at a fair was 3:2. Using this information, answer the two questions. 1. Were there more rides or games? 2. If there were 14 game booths, how many rides were there? Hint: use equivalent fractions if you are stuck. Answer There were more rides than games. π ππππ πΊπππ π΅πππ‘βπ 3 2 = = ?? 14 We multiplied the denominator by 7 so we have to do the same to the numerator. There were 21 rides at the fair. Question A lawn care company took 10 hours to mow 5 lawns. How long did it take them to mow 1 lawn? The next day they mow at a rate of 3 hours per lawn. How many lawns can they mow in 9 hours? Answer It took them 2 hours per lawn. They can mow 3 lawns. Category 2 questions follow Question Write/draw the pneumonic trick you use for order of operations. Answer P E MD* AS* **multiplication/division--whichever comes first. **addition/subtraction--whichever comes first. Or draw the ladder. Question Solve the following problem: 2 40 − 2 + 6 ∗ 5 + 5 Answer 93 Question Solve the following problem: 3 10 ∗ 3.12 ÷ (18 ÷ 9) Answer 1,560 Question Determine if the following equation is true or false when n=5. 4π + 75 = 90 Answer False. 95 is not equal to 90. Question Solve for the value of n. 2π + 40 = 58 Answer n=9 Category 3 questions follow Question water lemon juice sugar ice 4 cups 3 4 1 2 cup cup 1 cup The table shows the ingredients needed to make lemonade. How many cups of lemonade can be made with this recipe? Answer 1 4 6 cups of lemonade Question 4 7 ∗ 21 24 ∗ 3 6 = Answer 1 4 Question A girl wants to make a bracelet for her friend. She has a 3 string that is 30 inches long. She needs to cut the 4 string into pieces that are 1 10 4 inches long. How many pieces of string will she have when she is done cutting? Answer 3 pieces of string Question 1 3 Length= ft Width= 2 10 Height= 3 8 ft ft Find the volume of the rectangular prism. Answer 1 40 3 ft Question Find the area. Answer 2 512 ft Category 4 questions follow Question What is the mean? median? mode? range? Answer Mean- average Median- middle Mode- most often Range- distance between the highest number and the lowest number Question What is a line plot? Draw a quick example of one. Answer A line plot is a graph that shows frequency of data along a number line. For example, in this set of data, the number 2 occurs three times which is represented by three xs. 1 2 3 4 5 6 Question Find the mean, median, mode, range. 6, 3, 3, 5, 3, 4, 2, 6, 4 Answer Mean--4 Median--4 Mode--3 Range--4 Question Find the mean, median, mode, range. 13, 18, 13, 14, 13, 16, 14, 21, 13 Answer Mean--15 Median--14 Mode--13 Range--8 Question Create a line plot for the following numbers: 1, 2, 5, 2, 4, 3, 2, 4, 5, 6 Answer 1 2 3 4 5 6 Category 5 questions follow Question Write integers for the following situations: The temperature in Maine was 14 degrees below zero. The temperature in Florida was 48 degrees above zero. Answer -14 +48 Question Find the absolute value of the following numbers: β-13 β= _______ β 24 β= _______ β - 8 β=_______ β 37 β=_______ Answer 13 24 8 37 Question Find the opposite of the following integers: The opposite of 16 is _______. The opposite of 77 is _______. The opposite of -64 is _______. The opposite of -11 is _______. Answer -16 -77 64 11 Question Plot the following integers on the number line. 16, 4, -8, -20 Answer Question Plot the following points on the coordinate plane: A (4, 2) B (1, -5) C (-3, -2) D (-2, 2) Answer