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Event Bakery: When Do Recipe Totals Match? worksheet preview

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Event Bakery: When Do Recipe Totals Match?

Compare scaled bakery recipes using linear equations with one solution, no solution, or infinitely many solutions.

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, Circle the answer, Sorting, Short answer

About this worksheet

What students practice

  • Students simplify linear equations to identify one solution, no solution, or infinitely many solutions.
  • Students use simplified equations to explain when scaled recipe totals can agree.
  • Students complete equations to produce a specified solution type.

How to use

Have students show their simplification steps on scratch paper. Discuss how a false statement differs from a true statement with no variable remaining.

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

Event Bakery: When Do Recipe Totals Match?

Simplify equations to distinguish one solution, no solution, and infinitely many solutions.

Simplify the Recipe Notes

A bakery is scaling recipes for a school event. For these algebra checks, x may be any real number. Simplify before deciding how many solutions an equation has.

1.
A recipe-check card shows 3(2x + 5) + x = 7x + 15. Complete the simplified left side.

 x +   = 7x + 15

2.
A half-batch check gives (1/2)(10x + 6) = 5x + 8. Which conclusion follows from simplifying?
  • A. It has no solution because 3 = 8 is false.
  • B. It has infinitely many solutions because 3 = 3.
  • C. It has one solution because x = 5.
  • D. It has one solution because x = 1.
3.
Simplify the bakery's check equation 9x + 6 = 3(2x + 7). Which description is correct?
  • A. It has infinitely many real solutions.
  • B. It has no solution for any real x.
  • C. It has exactly one solution, x = 5.
  • D. It has exactly one solution, x = 9.

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