Algebra with Whole Numbers

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Algebra with Whole Numbers

• Writing Expressions

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Exercise 10
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Write expressions for

• 1. 1 more than x.
• 2. 2 less than y.
• x more than 5
• y less than 6.
• the sum of x and 9.
• the sum of 4 and y.
• 7 times x.
• y times 8.

• x 1
• y - 2
• 5 x
• 6 - y
• x 9
• 4 y
• 7x
• 8y

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True or false?

• x divided by 3.

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True

• x divided by 3.

6
True or false?

• 4 divided by y.

7
False

• 4 divided by y.

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True or false?

• 2 divided into x.

9
False

• 2 divided into x.

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True or false?

• y divided into 9.

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True

• y divided into 9.

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True or false?

• The product of 8 and x.

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False

• The product of 8 and x.

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True or false?

• The product of y and 6.

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True

• The product of y and 6.

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True or false?

• y added to x.

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True

• y added to x.

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True or false?

• y subtracted from x.

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False

• y subtracted from x.

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True or false?

• x multiplied by y.

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True

• x multiplied by y.

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True or false?

• x divided by y.

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False

• x divided by y.

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True or false?

• z more than y.

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False

• z more than y.

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True or false?

• z less than y.

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True

• z less than y.

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True or false?

• z times y.

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True

• z times y.

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True or false?

• z divided into y.

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False

• z divided into y.

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True or false?

• the sum of z and x.

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False

• the sum of z and x.

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True or false?

• the product of z and x.

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True

• the product of z and x.

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Write the expression

• 5 added to the result of multiplying 2 by x.

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Write the expression

• 2 times the result of adding 5 to x.

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Write the expression

• 4 subtracted from the result of multiplying 3 by
  x

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Write the expression

• 3 times the result of subtracting 4 from x

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Write the expression

• 5 added to the result of dividing x by 2.

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Write the expression

• 2 divided into the result of adding 5 to x.

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Write the expression

• 4 subtracted from the result of dividing x by 3.

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Write the expression

• 3 divided into the result of subtracting 4 from x

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Write the expression

• 1 more than the square of x

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Write the expression

• squaring the result of one more than x.

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• Find the cost of n articles if each article costs
  d.

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• Find the cost of each article if n articles cost
  d.

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• A polygon has n sides each of length d metres.
  Find its perimeter.

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• A polygon with n equal sides has a perimeter of d
  metres. Find the length of each side.

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• There are n power poles all in a straight line.
  If they are each d metres apart find the distance
  between the first pole and the last pole.

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• There are n equally spaced poles in a straight
  line. If the distance between the first pole and
  the last pole is d metres find the distance
  between each pole.

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• A carpenter cuts a length of wood d cm long into
  equal pieces. Find the length of each piece if
  he makes n cuts.

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• A carpenter cuts a length of wood into pieces
  each d cm long. Find the original length of wood
  if he makes n cuts.

54
Write down the 3 consecutive whole numbers which

• begin with n.
• have n as their middle number

• n, n1, n2
• n-1, n, n1

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Write down the 3 consecutive even numbers which

• begin with 2n.
• have 2n as their middle number

• 2n, 2n2, 2n4
• 2n-2, 2n, 2n2

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Write down the 3 consecutive odd numbers which

• begin with 2n - 1.
• have 2n - 1 as their middle number

• 2n-1, 2n1, 2n3
• 2n-3, 2n-1, 2n1