How old will you be in eight years? What age is eight more years than your age now? Did you add
to your present age? Eight
more than means eight added to your present age.
How old were you seven years ago? This is seven years less than your age now. You subtract
from your present age. Seven
less than means seven subtracted from your present age.
Translate each word phrase into an algebraic expression:
ⓐ Eight more than
ⓑ Seven less than
Solution
ⓐ The key words are
more than . They tell us the operation is addition.
More than means “added to”.
ⓑ The key words are
less than . They tell us the operation is subtraction.
Less than means “subtracted from”.
Translate each word phrase into an algebraic expression:
ⓐ five times the sum of
and
ⓑ the sum of five times
and
Solution
ⓐ There are two operation words:
times tells us to multiply and
sum tells us to add. Because we are multiplying
times the sum, we need parentheses around the sum of
and
ⓑ To take a sum, we look for the words
of and
and to see what is being added. Here we are taking the sum
of five times
and
Notice how the use of parentheses changes the result. In part
ⓐ , we add first and in part
ⓑ , we multiply first.
Later in this course, we’ll apply our skills in algebra to solving equations. We’ll usually start by translating a word phrase to an
algebraic expression . We’ll need to be clear about what the expression will represent. We’ll see how to do this in the next two examples.
The height of a rectangular window is
inches less than the width. Let
represent the width of the window. Write an expression for the height of the window.
The length of a rectangle is
inches less than the width. Let
represent the width of the rectangle. Write an expression for the length of the rectangle.
The width of a rectangle is
meters greater than the length. Let
represent the length of the rectangle. Write an expression for the width of the rectangle.
Blanca has dimes and quarters in her purse. The number of dimes is
less than
times the number of quarters. Let
represent the number of quarters. Write an expression for the number of dimes.
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Every time someone flushes a toilet in the apartment building, the person begins to jumb back automatically after hearing the flush, before the water temperature changes. Identify the types of learning, if it is classical conditioning identify the NS, UCS, CS and CR. If it is operant conditioning, identify the type of consequence positive reinforcement, negative reinforcement or punishment
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Samuel
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