7th Grade Linear Relationships
Authored by BETHANY JOHNSON
Mathematics
7th Grade
CCSS covered
Used 506+ times
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This quiz comprehensively assesses 7th-grade students' understanding of linear relationships through multiple representations and real-world applications. The questions require students to translate between equations, tables, graphs, and verbal descriptions of linear functions, demonstrating mastery of the fundamental concept that linear relationships maintain a constant rate of change. Students must identify slope and y-intercept from various formats, write linear equations in slope-intercept form (y = mx + b), and interpret these components within practical contexts like service charges, recipe proportions, and resource consumption. The mathematical reasoning involves recognizing patterns in data, understanding how initial values and rates of change create linear models, and connecting abstract algebraic expressions to concrete situations. These problems demand both computational skills and conceptual understanding of how linear relationships behave across different mathematical representations. Created by Bethany Johnson, a Mathematics teacher in the US who teaches grade 7. This quiz serves as an excellent tool for formative assessment, allowing teachers to gauge student comprehension of linear relationships before moving to more advanced topics. The variety of question formats makes it ideal for review sessions where students practice moving fluidly between mathematical representations, and it works effectively as homework to reinforce classroom instruction on linear functions. Teachers can use individual questions as warm-up problems to activate prior knowledge or deploy the entire quiz as a comprehensive check for understanding after completing a unit on linear relationships. The assessment aligns with standards 7.RP.2 for recognizing and representing proportional relationships, 7.EE.4 for using variables to represent quantities in real-world problems, and 8.F.3 for interpreting the equation y = mx + b as defining a linear function, making it valuable for preparing students for more advanced algebraic thinking.
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10 questions
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1.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
An electrician charges $25 to make a house call, plus $40 for every hour of work. Which equation shows how to find C, the total cost for having the electrician work for h hours?
C = 25 + 40h
C = 65 + h
C= 65h
C = 25h + 40
Tags
CCSS.8.F.B.4
CCSS.HSF.LE.A.2
2.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Which table shows the equation y = 1/2x - 7
Tags
CCSS.8.F.A.1
CCSS.HSF.IF.A.1
3.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
The graph shows the cost of a personal pizza (y) vs. the number of toppings (x). Which equation best describes the relationship above?
y = 2x
y = 2x + 4
y = 4x
y = 2x + 2
Tags
CCSS.8.F.B.4
CCSS.HSF.LE.A.2
4.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Which of the following situations could be described by the equation y = 120 - 25x ?
There are 120 people in the football stadium, and 25 more are entering each hour
A plumber charges $25 for a house call and $120 per hour
A teacher has 120 students. Her third period has 25 students
There are 120 gallons of water in a tank. It releases water at a rate of 25 gallons per minute
Tags
CCSS.8.F.B.4
CCSS.8.F.A.1
CCSS.8.EE.B.6
CCSS.8.F.A.3
CCSS.8.F.B.5
5.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Pierre sells homecoming mums for $10, plus and additional $0.75 per decoration added. Which table shows the relationship between the total cost of the mum (C) and the number of decorations (d)?
Tags
CCSS.8.F.A.1
CCSS.HSF.IF.A.1
6.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Which graph shows the equation y = -1/2x + 5
Tags
CCSS.8.F.B.4
CCSS.8.EE.B.6
CCSS.8.F.A.3
7.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
The table represents which of the following equations?
y = 6x
y = x + 2
y = 2x + 4
y = x + 5
Tags
CCSS.8.F.B.4
CCSS.HSF.LE.A.2
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