Writing & Graphing Linear inequalities
Mathematics
8th Grade - University
CCSS covered
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About
This quiz focuses on writing and graphing linear inequalities, targeting the essential algebraic concepts taught in 8th grade mathematics. The questions assess students' ability to translate real-world constraint situations into mathematical inequalities in standard form, understand the relationship between inequality symbols and graphical representations, and interpret graphs of linear inequalities. Students need a solid foundation in linear equations, coordinate graphing, and inequality symbols to succeed. The core reasoning skills include recognizing when to use "less than," "greater than," "less than or equal to," and "greater than or equal to" based on contextual clues like "no more than," "at least," "under," and "more than." Students must also understand that solid lines represent inequalities with "or equal to" components while dashed lines indicate strict inequalities, and they need to determine correct shading regions based on the inequality direction. This quiz was created by a classroom teacher who designed it for students studying linear inequalities in 8th grade mathematics. The quiz serves as an excellent tool for formative assessment, allowing teachers to gauge student understanding of both the algebraic and graphical components of linear inequalities before moving to more complex systems. It works effectively as a review activity after initial instruction, homework practice to reinforce classroom learning, or a warm-up to activate prior knowledge before advancing to inequality systems. Teachers can use individual questions for targeted practice or assign the complete quiz for comprehensive assessment of student mastery. This assessment aligns with Common Core State Standards 8.EE.C.8, which requires students to analyze and solve pairs of simultaneous linear equations and extends naturally to support A-REI.D.12 for students ready for advanced content involving graphing linear inequalities and systems of inequalities.
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12 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Write the linear inequality in standard form for this situation: Ms. Savva is ordering pizzas and breadsticks for a school party and has a budget of no more than $81. An order of breadsticks costs $7 and a pizza costs $13.
Tags
CCSS.HSA.CED.A.2
CCSS.HSA.CED.A.3
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
How can I tell if an inequality will have a solid line?
Tags
CCSS.HSA.REI.D.12
3.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
Do I need to flip my sign?
2x -3y ≥ 12
Tags
CCSS.HSA.REI.B.3
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Consider the function y<2x+3. Which is true?
Tags
CCSS.HSA.REI.D.12
5.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
Write the linear inequality in standard form for this situation: The CRHS science department can spend no more than $2700 on textbooks this year. The department needs to buy both Biology text books, which cost $57 each, and Chemistry textbooks, which cost $72 each.
Tags
CCSS.HSA.CED.A.2
CCSS.HSA.CED.A.3
6.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
Write the linear inequality in standard form for this situation: A landscaping business is purchasing plants from a nursery to finish a project. It will cost $14 each to buy each tree and $5 each to buy each bush. The landscaper wishes to keep the spending under $1000.
Tags
CCSS.HSA.REI.D.12
CCSS.HSA.CED.A.2
CCSS.HSA.CED.A.3
7.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
Write the linear inequality in standard form for this situation: In order to raise money to attend upcoming competitions, the Math Pentathalon team is selling apple cider and hot chocolate. They hope to make at least $240 by selling hot chocolate for $1 a glass and hot apple cider for $2 a glass.
Tags
CCSS.HSA.CED.A.2
CCSS.HSA.CED.A.3
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