Solving Absolute Value Equations
Authored by Mike Milder
Mathematics
8th - 9th Grade
CCSS covered
Used 10K+ times
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About
This quiz focuses on solving absolute value equations, a key algebraic concept typically introduced in 8th or 9th grade mathematics. The problems assess students' understanding of the fundamental principle that absolute value equations can have two solutions, one solution, or no solution depending on the structure of the equation. Students need to master the process of isolating the absolute value expression first, then setting up two separate linear equations to account for both positive and negative cases of the expression inside the absolute value bars. The questions progress from basic one-step isolation problems to more complex multi-step equations involving coefficients outside the absolute value and negative results that lead to no solution. Core skills include manipulating algebraic expressions, understanding when absolute value equations have no solution (when the isolated absolute value equals a negative number), and recognizing special cases like when the absolute value expression equals zero, yielding exactly one solution. Created by Mike Milder, a Mathematics teacher in the US who teaches grades 8 and 9. This quiz serves as an excellent tool for formative assessment, homework practice, or review sessions when students are learning to solve absolute value equations systematically. Teachers can use these problems as warm-up exercises to reinforce the multi-step process or as guided practice during instruction to help students recognize patterns in different types of absolute value equations. The variety of problem structures makes this quiz particularly valuable for identifying common misconceptions, such as students forgetting to check both positive and negative cases or failing to recognize when no solution exists. This content aligns with Common Core State Standards 8.EE.C.7 for solving linear equations and A-REI.A.1 for explaining solution steps, as well as supporting the algebraic reasoning skills outlined in A-REI.B.3 for solving systems of equations.
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10 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
|v + 8| − 5 = 2
Tags
CCSS.8.EE.C.7
2.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
|−2n| + 10 = −50
Tags
CCSS.8.EE.C.7
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
|2a - 10| = 6
Tags
CCSS.8.EE.C.7
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
| x – 3 |= 0
Tags
CCSS.8.EE.C.7
5.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
−2|−2r − 4| = -12
{3,1}
{-5,1}
{-5,5}
No Solution
Tags
CCSS.7.EE.B.3
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Solve |2x –3| + 5 =10.
Tags
CCSS.8.EE.C.7
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Solve for a. |2a - 10| = 6
a = 8, a = 5
a = 8
a = 8, a=-2
a = 8, a = 2
Tags
CCSS.6.NS.C.7C
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