Algebraic Expressions

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Algebraic Expressions

• Math Grades 6-8

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Teacher Page

• Content Math
• Grade Level 6-8
• Creator Abby Neiburger
• Curriculum Objectives IV.C. The learner will
  use math relationships to describe and simplify
  math expressions. (G 1.6 MA-1)
• IV.I. The learner will compute
  the sum, difference, product, or quotient of
  rational numbers either in expression or equation
  format. (G 1.6, 1.8, 2.2, 3.3 MA-1)
• IV.J. The learner will evaluate
  algebraic expressions given the values for the
  variables. (G 1.6, 3.2, 3.3 MA-5)

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What are algebraic expressions?

• An algebraic expression is a combination of
  variables, numbers, and at least one operation.
• In your journal, complete the following
• Define a variable in your own words
• Write two different expressions that are the same
  as 7a
• If m is the number of games the Jets won, what
  does m 5 represent?

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Try these!

• Translate each phrase into an algebraic
  expression.
• Three more than v
• Seven less than h
• The product of a number and 6
• Twice w

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Applications

• The force of gravity on Earth is six times
  greater than on the moon. As a result, objects
  weigh six times as much on Earth as they do on
  the moon.
• Write an expression for the weight of an object
  on earth if the weight on the moon is x.
• A scientific instrument weighs 34 pounds on the
  moon. How much does the instrument weigh on
  Earth?

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Solution

• An algebraic expression for the weight of an
  object on Earth if the weight on the moon is x
  is 6x
• A scientific instrument weighing 34 pounds on the
  moon would weigh
• 34 X 6 204 pounds

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Winter Banquet
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Solution
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Glee Club

• In preparing for their winter concert, the Glee
  Club purchased 5 gallons of paint to create a
  backdrop for the stage. The total bill for the
  paint was 109.73, including 5.23 sales tax. The
  clubs sponsor wants to know the cost of one
  gallon of paint.
• To find the cost of one gallon of paint, solve
  the equation 5n 5.23 109.73, where n
  represents the cost of one gallon of paint. Be
  sure to provide the work that shows how you
  arrived at your answer.

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Solution
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You did it!