Numbered Equations

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Numbered Equations

• General Math and Pre-Algebra
• 7th 8th Grade

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Teacher Page

• Grade level Pre-Algebra
• Creator Mary Anne Burton
• Curriculum Objectives 1.6
• Students will write and determine a numbered
  expression for a given situation.
• MAP Standards 3-1

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Teacher Page

• Sources used for this presentation
• Holt Middle School Math Course 3
• Glencoe Pre-Algebra

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Vocabulary

• Variable
• A letter that represents a value that can be
  changed or varied.

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Vocabulary

• Coefficient
• The number multiplied by the variable

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Vocabulary

• Algebraic Expression
• A numbered expression with one or more variables
  and/or a constant.
• X 6 2x 3y
• 2a - 3 1.8c- 9

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Vocabulary

• Evaluate
• Substitute a given number for the variable, and
  find the value of the numerical expression
• Example 3a 5 a 6
• 3(6) 5
• 18 5
• 23

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Evaluate each expression for the given value of
the variable.

• 12t d 0
• 5t 5 t 1
• 12 2m m 3
• 15 -5y y 3
• X 3.2 x 5
• 3 5b b 1.2
• 2(z 8) z 5

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Lets Think and Discuss

• Give an example of an expression that is
  algebraic.
• Give an example of an expression that is not
  algebraic.
• Compare the two expressions how are the same and
  how are they different.

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Challenge Your Brain
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Challenge 1

• Can the expression 2x and x 2 ever have the
  same value?
• If so, what must be the value for x.

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Writing Algebraic Expressions

• Look for context cues in the word phrases to help
  you set up the numbered expression.
• There are word phrases for each operation to use
  as context cues.
• Lets look at a few

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Addition n 5

• A number plus 5
• Add 5 to a number
• Sum of a number and 5
• 5 more than a number
• A number increased by 5

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Subtraction x - 11

• A number minus 11
• Subtract 11 from a number
• The difference of a number and 11
• 11 less than a number
• A number decreased by 11

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Multiplication 3m

• 3 times a number
• 3 multiplied by number
• The product of 3 and a number

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Division a/7 a 7

• A number divided by 7
• 7 divided into a number
• The quotient of a number and 7

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Write an algebraic expression for each word
phrase.

• 7 more than a number y
• 6 times the sum of 4 and y
• 11 less than a number t
• Half the sum of m and 5
• 9 more than the product of 6 and a number y
• 2 less than a number m divided by 8
• Twice the quotient of a number m and 35

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Translate each algebraic expression into words.
Share with a partner.

• 4b 3
• t 12
• 3(m 4)

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Lets try to write the algebraic expression and
evaluate each word problem.

• Michael bought a card good for 35 visits to a
  weight lifting club and began a workout routine.
  After y visits, he had y fewer than 35 visits
  remaining on his card. After 18 visits, how many
  visits did he have left?
• 35-y
• 35-18

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Try Again!

• In basketball, players score 2 points for each
  field goal, 3 points for each three-point shot,
  and 1 point for each free throw made. Write and
  algebraic expression for the total score for a
  team that makes g field goals, t three-point
  shots, and f free throws.
• 2g 3t 1f g23, t6, f11

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Challenge

• Write an expression for the sum of 1 and twice a
  number n.
• If you let n be any odd number, will the
  results always be an odd number?