11 questions
8th - 8th Grade
Mathematics
This Grade 8 mathematics worksheet gives students 11 multiple-choice opportunities to compare rates of change in linear relationships. Students determine which player, climber, service, or company has the greater rate by interpreting equations, tables, graphs, and fractional values. Several items also connect rate of change to real-world costs, setup fees, rental hours, and monthly service use. The worksheet helps students distinguish slope from an initial value, compare equivalent rates such as 2/3 and 3/2, and use a rate relationship to make decisions at a specific number of hours or movie rentals. It is suitable for guided practice, independent work, review, or a quick formative assessment after instruction on slope and rate of change. This free printable worksheet includes a complete answer key for efficient checking and feedback.
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WorksheetsAnswer KeyPlayer A
Connor
Homework Lifeline as $25
$2.25 per hour
They have the same rate of change.
Ryan's Rafts
Nate’s service ($38 vs. $40) is cheaper
y = 5x + 15
This Grade 8 worksheet focuses on comparing rates of change, or slopes, in 11 multiple-choice problems. Students compare equations with tables and graphs, interpret positive rates expressed as fractions or whole numbers, and apply those comparisons to situations involving scores, climbing rates, service costs, and raft rentals.
Use the equation, table, and graph items to model how to identify the change in y for each unit change in x before students compare two relationships. Then connect the applied problems to the same process: have students identify the rate, distinguish a setup fee from the rate, and calculate or compare total costs for the stated number of hours or movies. Ask students to explain why two fractional rates can be equal even when they look different.
Watch for students choosing the larger starting value instead of the greater rate of change, especially in the setup-fee and service-cost problems. Students may also reverse a fraction, confuse a rate such as 2.25 dollars per hour with a total cost, or compare values without using the same units. In the 8-movie and 9-hour items, check that students evaluate the full cost rather than selecting the company with the lower rate automatically.
Wayground provides this worksheet as a printable PDF and as a digital quiz, so you can use the 11 multiple-choice items for paper practice or online assessment. It includes a complete answer key, and printable submissions can be graded by scanning student work with the Wayground for Teachers app. The printable format can also support schools that are reducing screen time.
Use the worksheet’s Advanced Settings to adjust font spacing and font size so the equations, tables, graph references, and multiple-choice options are easier to read. You can also apply a dyslexia-friendly font or translate the worksheet into another language. These options preserve the same rate-of-change practice while changing the worksheet file’s presentation.
Wayground offers a comprehensive collection of free printable worksheets and practice problems across all subjects, with downloadable PDFs and answer keys to support mastery of essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.
