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Aquarium Care: Feeding Schedule Evidence worksheet preview

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Aquarium Care: Feeding Schedule Evidence

Students simplify aquarium-care equations, distinguish three solution types, and complete equations to produce specific outcomes.

Grade 8MathInteractive · Printable

Aligned to8.EE.C.7.a

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What’s included

  • Single worksheet
  • Auto-graded online
  • 1 Common Core standard
  • Printable answer key
  • 14 questions
  • Classroom-ready

Details

Format
Interactive · Printable
Grade
Grade 8
Subject
Math
Question types
Fill in the blank, Multiple choice, Matching, Circle the answer, Short answer

About this worksheet

What students practice

  • Students simplify linear equations to identify one solution, no solution, or infinitely many solutions.
  • Students complete and modify linear equations to produce a specified number of solutions.
  • Students interpret solution types in aquarium feeding and care situations.

How to use

Have students record simplification steps on separate paper. Discuss how a true statement, a false statement, and a fixed variable value lead to different conclusions.

Curriculum

Common Core standard covered

8.EE.C.7.a

Show with examples that a linear equation in one variable can have one solution, infinitely many, or none, by simplifying it.

Preview

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Name Date

Aquarium Care: Feeding Schedule Evidence

Simplify equations to decide when two care records agree.

Read the Algebra Evidence

These equations come from aquarium care-planning records. Unless a context gives a restriction, consider all real values of x. Simplify before deciding.

1.
Match each planning equation to the statement obtained by expanding, combining like terms, and subtracting 4x from both sides.
  1. 2(x + 7) + 2x = 4x + 14
  2. 3(x + 2) + x = 4x + 10
  3. 5x + 3 = 4x + 14
  1. A. x + 3 = 14
  2. B. 14 = 14
  3. C. 6 = 10
2.
A care-time check gives 7x + 4 = 3(x + 8). Which statement correctly describes the simplified equation?
  • A. It becomes 4x = 28, so x = 7.
  • B. It becomes 24 = 24, so every value works.
  • C. It becomes 4x = 20, so x = 5.
  • D. It becomes 4 = 24, so no value works.
3.
Simplify the feeding-record equation 6(x + 3) − 2x = 4x + 25. Subtract 4x and then subtract 18 from both sides.

The final statement is 0 =  . This false statement means the equation has no solution.

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