Domain and Range Word Problems
Authored by Kristin Berkovich
Mathematics
8th - 9th Grade
CCSS covered
Used 449+ times
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This quiz focuses on domain and range of functions within real-world contexts, making it appropriate for 8th and 9th grade mathematics students. The problems require students to understand functions as mathematical relationships between input and output values, distinguish between domain (possible input values) and range (possible output values), and apply these concepts to practical scenarios involving linear functions. Students must interpret word problems involving cost functions, analyze discrete versus continuous data sets, evaluate functions at specific points, and determine appropriate restrictions based on real-world constraints. The core mathematical reasoning involves translating contextual information into mathematical language, understanding when domains and ranges should be expressed as sets of discrete values versus inequalities, and recognizing how practical limitations affect the mathematical model. Created by Kristin Berkovich, a Mathematics teacher in US who teaches grade 8 and 9. This quiz serves as an excellent formative assessment tool to gauge student understanding of domain and range concepts before moving to more advanced function topics. Teachers can use these problems as warm-up exercises to activate prior knowledge, as guided practice during instruction to reinforce key concepts, or as homework assignments to extend learning beyond the classroom. The variety of contexts—from purchasing video games to renting boats—keeps students engaged while building their ability to model real-world situations mathematically. This assessment aligns with Common Core standards 8.F.A.1 and A-REI.D.10, as students work with functions as mathematical models and graph equations to represent relationships between quantities.
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13 questions
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1.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
The total cost in dollars, c, to purchase video games online can be found using the function c = 16.95x + 4.75, where x is the number of video games purchased. If at least 4 games but no more than 7 games are purchased online, what is the range of the function for this situation?
Tags
CCSS.HSF.IF.A.1
CCSS.HSF.IF.A.2
CCSS.HSA.CED.A.3
CCSS.HSA.SSE.A.1
2.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
What is the Range of the situation?
Tags
CCSS.8.EE.B.5
3.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
The student council set its members on four field trips during the school year. The number of buses needed to transport the members on each trip is a function of the number of members who went on the trip. This function consists of only the ordered pairs (52, 3), (72, 4), (86, 5), and (105, 6). What is the domain for this situation?
Tags
CCSS.HSF.IF.A.1
CCSS.HSF.IF.B.5
4.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
The amount of money that Li spends on video games depends on how many games he purchases. If Li has at most $90 to spend on games for his Xbox 360 and the games cost $22.50 each, what is the domain of this function?
Tags
CCSS.HSA.CED.A.3
CCSS.HSF.IF.B.5
5.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Using his spending account at the school store, Randy buys pencils which are 12 cents each. For the first 4 months of school, Randy bought 3, 4, 6, and 9 pencils. If the function A = .12p represents the amount, A, Randy spent on pencils each month and p is the number of pencils he buys, what is the range of this function?
Tags
CCSS.HSF.IF.A.1
CCSS.HSF.IF.A.2
CCSS.HSF.BF.A.1
6.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
A pizza shop sells pizza for $7.50 each plus $1.25 per topping. The total price of the pizzas can be determined by the function P(t) = 7.5 + 1.25t, where te is the number of toppings orders and P(t) is the total price of the pizza. The shop has a delivery policy that all orders must have a minimum of 2 toppings and maximum of 8 toppings for a delivery. Which inequality represents the range of the situation?
{10, 11.25, 12.50, 13.75, 15, 16.25, 17.50}
{2, 3, 4, 5, 6, 7, 8}
10 ≤ P(t) ≤ 17.50
0 ≤ P(t) ≤ 17.50
Tags
CCSS.HSA.CED.A.3
CCSS.HSA.CED.A.1
CCSS.HSA.SSE.A.1
7.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Mario has and iTunes gift card worth $20.00. He uses the formula y=0.99x to determine y, the total cost for x number of songs. What is the domain for the situation?
All integers between 0 and 20
All real numbers between 0 and 19.80
All integers greater than 0
All integers between 0 and 250
Tags
CCSS.HSF.IF.A.1
CCSS.HSF.IF.A.2
CCSS.HSF.IF.B.5
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