Stem: A recipe uses 3 cups of flour for every 2 cups of sugar. Which ratio correctly describes the number of cups of flour to the number of cups of sugar?
Stem: A fruit bowl has 8 apples and 5 oranges. What is the ratio of apples to oranges? Enter your answer as a whole number in each box. [Two blank input boxes separated by a colon, e.g., ___ : ___]
Stem: A school garden has 8 tomato plants and 5 pepper plants. Which statement correctly describes a ratio relationship in the garden?
Stem: A recipe uses 3 cups of flour for every 2 cups of sugar. Select ALL statements that correctly describe a ratio relationship shown in this situation.
Stem: A car travels 150 miles using 6 gallons of gas. The unit rate is _____ miles per gallon.
Stem: A community garden produces 45 pounds of vegetables in 6 hours of harvesting. Which statement correctly describes the unit rate, and what does it mean in this situation?
Stem: A school store sells supplies at the prices shown in the table below. [TABLE: Two-column table with headers 'Item' and 'Price'. Rows: Pencil | $0.75 for 3 pencils; Notebook | $2.50 each; Eraser | $1.20 for 4 erasers; Markers | $4.50 for 6 markers] A student has $10.00 to spend and wants to buy exactly one type of item. She wants to buy as many individual units as possible without going over $10.00. Which of the following statements are true about the unit rates and her purchasing decision? Select ALL that apply.
Stem: Three stores sell the same brand of orange juice. Use the information below to answer the question. [TABLE: Three-column table with headers 'Store', 'Amount of Orange Juice', 'Total Price'. Row 1: Store A, 6 fl oz, $1.50. Row 2: Store B, 10 fl oz, $2.30. Row 3: Store C, 15 fl oz, $3.75.] A student wants to figure out which store has the best unit rate (lowest price per fluid ounce). She writes four reasoning steps but puts them in the wrong order, and she includes one step that does NOT belong in a valid argument. Drag each reasoning card to the correct zone: • Place steps that belong in a valid argument into the 'Valid Argument Steps' zone, in the correct order (Step 1, Step 2, Step 3, Step 4). • Place the step that does NOT belong into the 'Does Not Belong' zone. [DRAG-AND-DROP VISUAL: Five draggable cards labeled Card 1 through Card 5, and two drop zones on the right. The 'Valid Argument Steps' zone has four numbered slots (Step 1, Step 2, Step 3, Step 4). The 'Does Not Belong' zone has one slot.]
Stem: A store sells trail mix in two different sizes. The small bag contains 12 ounces for $3.00, and the large bag contains 20 ounces for $4.60. A student wants to find which bag is the better deal by comparing the unit price (cost per ounce) of each bag. Which statement correctly compares the unit prices?
Stem: A school store sells notebooks, pens, and folders. Use the information below to answer the question. [TABLE: Three-column table with headers 'Item', 'Original Price', 'Sale Information'. Row 1: Notebook | $4.50 | Buy 3, get 1 free Row 2: Pen | $1.20 | 25% off each pen Row 3: Folder | $0.80 | 5 for $3.50] Maria has $20.00 to spend. She wants to buy exactly 4 notebooks, 4 pens, and 5 folders. After all discounts are applied, which of the following statements are true? Select all that apply.
Stem: A school store is running three different sale offers on the same brand of notebook. Use the information below to answer the questions. [Visual: A table with three columns and four rows. Column headers: 'Offer', 'Deal', 'Unit Price'. Row 1: Offer A | Buy 3 notebooks for $4.50 | [blank]. Row 2: Offer B | Buy 5 notebooks for $7.00 | [blank]. Row 3: Offer C | Buy 4 notebooks for $6.00 | [blank]. The 'Unit Price' column cells are drop zones.] A student has exactly $14.00 to spend and wants to buy as many notebooks as possible without going over budget. She may combine offers. Part A — Drag each unit price token to the correct row in the 'Unit Price' column of the table. Part B — Drag the notebooks-per-dollar token that matches the best single offer (lowest unit price) to the box labeled 'Best Offer Unit Rate'. Part C — Drag the correct maximum number of notebooks the student can buy with $14.00 (using only the best single offer) to the box labeled 'Maximum Notebooks'. Part D — Drag the correct label to the box labeled 'Strategy Used' to describe the reasoning process applied to solve this problem. [Visual: Drop zones — one table with three 'Unit Price' cells (Part A), one box labeled 'Best Offer Unit Rate' (Part B), one box labeled 'Maximum Notebooks' (Part C), one box labeled 'Strategy Used' (Part D).] Available tokens (drag from the token bank): • $1.50 per notebook • $1.40 per notebook • $1.50 per notebook (duplicate) • $1.75 per notebook • $1.25 per notebook • 9 notebooks • 10 notebooks • 12 notebooks • 8 notebooks • Compare unit rates, then apply the best rate to the budget • Multiply all prices together to find the total • Divide the budget equally among all three offers • Add all unit prices and divide by 3
Stem: A recipe uses 3 cups of flour for every 2 cups of sugar. Complete the ratio table to find the missing values. [Ratio table with 2 columns and 4 rows. Column headers: 'Cups of Flour' and 'Cups of Sugar'. Row 1: 3, 2. Row 2: 6, ___. Row 3: ___, 8. Row 4: 15, ___] Fill in the three missing values in order: ___, ___, ___
Stem: A lemonade recipe uses 3 cups of lemon juice for every 8 cups of water. A chef wants to make a larger batch using 18 cups of lemon juice. How many cups of water does the chef need to keep the same ratio?
Stem: A ratio table is shown for each situation below. Match each ratio table on the left to the unit rate that represents it on the right. [Each table shows two rows labeled 'Quantity' and 'Value' with the following values — Table 1: Quantity: 3, 6, 9 | Value: 12, 24, 36; Table 2: Quantity: 4, 8, 12 | Value: 6, 12, 18; Table 3: Quantity: 5, 10, 15 | Value: 20, 40, 60]
Stem: A store sells trail mix in two different sizes. The small bag contains 6 ounces for $2.40, and the large bag contains 10 ounces for $3.80. A student claims that the large bag is always the better deal because it contains more trail mix. Select ALL statements that provide correct mathematical reasoning about the student's claim.
Stem: A school store sells three types of items. Use the information in the table below to answer the question. [TABLE: Three-column table with headers 'Item', 'Price per Unit', 'Number Sold'. Row 1: Notebook, $2.50, 40. Row 2: Pencil Pack, $1.20, 65. Row 3: Folder, $0.75, 80.] The store manager wants to create two separate ratio tables — one for items where the unit rate per dollar earned is GREATER THAN 30 items per $10, and one for items where it is LESS THAN OR EQUAL TO 30 items per $10. Step 1: Drag each item token into the correct category box (Greater Than 30 or Less Than or Equal To 30). Step 2: For each item you placed in the 'Greater Than 30' category, drag the correct equivalent ratio tile to show how many of that item would be sold if the store earned $30. Place each ratio tile next to the matching item. [VISUAL: Two large category boxes labeled 'Unit Rate Greater Than 30 Items per $10' and 'Unit Rate ≤ 30 Items per $10'. A third area labeled 'Equivalent Ratio Tiles for $30 Earned' contains ratio tiles. Item tokens and ratio tiles are shown in a bank at the bottom of the screen.] [ITEM TOKEN BANK: Three oval tokens labeled 'Notebook', 'Pencil Pack', 'Folder'] [RATIO TILE BANK: Six rectangular tiles labeled '90 items', '120 items', '150 items', '195 items', '240 items', '260 items']
Stem: A car travels 150 miles using 5 gallons of gas. At this rate, how many miles can the car travel on 8 gallons of gas?
Stem: A car travels 150 miles using 5 gallons of gasoline. Use this unit rate to complete the statements below. The car travels [dropdown_1] miles per gallon. At this rate, the car would use [dropdown_2] gallons of gasoline to travel 450 miles.
Stem: A car travels 135 miles using 5 gallons of gasoline. At this same rate, how many gallons of gasoline will the car need to travel 297 miles?
Stem: A community garden project requires volunteers to mix soil, plant seeds, and water sections of the garden. The table below shows the unit rates for three volunteers completing different tasks. [TABLE: 3 columns — Volunteer, Task, Unit Rate | Row 1: Jada, Mixing soil, 4 bags per hour | Row 2: Marcus, Planting seeds, 90 seeds per hour | Row 3: Priya, Watering sections, 3 sections per 45 minutes] The garden coordinator is planning how to schedule volunteers over a 6-hour workday. She wants to model the total output for each volunteer and use those models to make scheduling decisions. Select ALL statements that are mathematically correct and would be useful for the coordinator's planning model.
Stem: A store is having a sale. A jacket that normally costs $85 is on sale for $68. What is the percent decrease in the price of the jacket?
Stem: A student is solving percent problems. Match each problem on the left with the correct answer on the right. Not all answers will be used.
Stem: A store is running two separate sales on the same jacket. In Sale 1, the original price of $80 is first reduced by 20%, and then the sale price is reduced by an additional 15%. In Sale 2, the original price of $80 is reduced by a single discount of 35%. A student says, 'Both sales give the same final price because 20% + 15% = 35%.' Which of the following correctly evaluates the student's claim AND explains the difference in final prices?
Stem: A store is having a sale. The original price of a jacket is $80. The store applies a 15% discount, and then the cashier applies an additional 10% discount to the already reduced price. A customer says the total discount is the same as a single 25% discount off the original price. Select ALL statements that are true about this situation.
Stem: A student is trying to find 140% of 85. She writes the following steps: Step 1: Write 140% as a fraction: 140/100 Step 2: Simplify the fraction: 7/5 Step 3: Multiply: (7/5) × 85 = 595/5 Step 4: Divide: 595 ÷ 5 = 119 She concludes: 140% of 85 is 119. Select ALL statements that are true about the student's work.
Stem: A jacket is on sale for 25% off its original price of $48. What is the sale price of the jacket?
Stem: A sporting goods store is having a sale. Use the information below to answer each question. [TABLE: Two-column table with headers 'Item' and 'Sale Information'. Rows: Row 1 — Item: Running Shoes, Sale Information: Original price $85.00, marked down 20%; Row 2 — Item: Water Bottle, Sale Information: Original price $12.00, marked down 15%; Row 3 — Item: Gym Bag, Sale Information: Original price $60.00, marked down 25%] (1) The sale price of the running shoes is $[[blank1]]. (2) The sale price of the gym bag is $[[blank2]]. (3) A customer buys the water bottle and pays with a $20 bill. The amount of change the customer receives is $[[blank3]].
Stem: A student is solving problems that require converting between different units of measurement. Match each measurement on the left to its equivalent value on the right.
Stem: A recipe for a sports drink uses 3 teaspoons of a powder mix for every 8 fluid ounces of water. Marcus wants to make a larger batch using 5 cups of water. He also knows that 1 cup = 8 fluid ounces. Marcus says he will need 15 teaspoons of powder mix. His friend Jada says he will need 120 teaspoons. A third friend, Kenji, says the answer is 18 teaspoons. Which of the following correctly explains who is right AND identifies the error made by one of the others?