Decimal Inequalities Maze
Written by Adi Ackerman, Head Teacher
"Decimal Inequalities Maze" is written for 8th Grade (Ages 13-14). A 7th grader who is already steady on algebra can use it too, and an older student can use it as a short review.


8th grade math worksheet: solve decimal inequalities with x on both sides through an 8-step maze, starting at 1.5x + 2 > 0.5x + 8. Answer key included. Part of our inequalities with variables on both sides algebra collection.
How do I use this worksheet?
Start with Inequalities With Variables on Both Sides, then add negatives and parentheses. Use Always, Never or Sometimes True for discussion, and the riddle or maze for practice that checks itself.
What students will practice
- Students will solve decimal inequalities with x on both sides.
- Students will move to the touching cell that shows each solution.
- Students will complete an 8-step path from Start to Finish.


Classify Sequences With Negative Terms


Classify Sequences With Fractions and Decimals


Common Difference or Ratio With Negatives


Linear or Exponential Growth in Context


Arithmetic or Geometric Card Sort With Negatives


Arithmetic Sequences With Negative Differences


Arithmetic Sequences With Fraction Differences


Missing Terms in Arithmetic Sequences With Negatives
Curriculum Links
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Browse the grade, subject, and topic this belongs to.
FAQ
How do I use this inequalities with variables on both sides worksheet?
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Start with Inequalities With Variables on Both Sides, then add negatives and parentheses. Use Always, Never or Sometimes True for discussion, and the riddle or maze for practice that checks itself.
What does this worksheet teach?
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Solve decimal inequalities with x on both sides through an 8-step maze, starting at 1.5x + 2 > 0.5x + 8. The directions on the page read: Start at Start. Solve the inequality, then move to the touching cell (up, down, left or right) that shows your solution. Keep going for 8 steps until you reach Finish. The page opens with a worked example, and an answer key is included.
Can I use this inequalities with variables on both sides worksheet for homeschool or classroom?
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Yes, both. We made it for 8th grade algebra, and it works the same at home or at school. At home, a student can work through it alone and then go over it with you, which shows quickly what is solid and what needs another look. In class it works as independent practice, homework or a warm-up, and you can print one copy or a full set.
How do you solve an inequality with variables on both sides?
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Subtract one x term from both sides so x is on only one side, then solve the two-step inequality left. For 6x − 1 > 2x + 31, subtract 2x to get 4x − 1 > 31, so 4x > 32 and x > 8.
Can an inequality be true for every value of x?
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Yes. If the x terms cancel and a true statement is left, every value works. For 3(x + 1) > 3x + 2, the sides simplify to 3 > 2, which is always true. If a false statement is left, no value works.
How do you solve inequalities with decimals on both sides?
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Collect the decimal x terms the same way as whole numbers. For 0.3x ≤ 1.3x + 11, subtracting 1.3x gives −x ≤ 11, and dividing by −1 flips the sign to x ≥ −11.
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Classify Sequences With Negative Terms


Classify Sequences With Fractions and Decimals


Common Difference or Ratio With Negatives


Linear or Exponential Growth in Context


Arithmetic or Geometric Card Sort With Negatives


Arithmetic Sequences With Negative Differences


Arithmetic Sequences With Fraction Differences


Missing Terms in Arithmetic Sequences With Negatives