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Decide mentally whether each statement is true.
Your teacher will give you a set of cards. Take turns with your partner to match two expressions with the same value.
For each set of values for and , evaluate the given expressions, and record your answers in the table.
| 6 | |||||||
| -6 | |||||||
| -6 |
When and , which expression:
has the largest value?
has the smallest value?
is the closest to 0?
When and , which expression:
has the largest value?
has the smallest value?
is the closest to 0?
When and , which expression:
has the largest value?
has the smallest value?
is the closest to 0?
A seagull has a vertical position , and a shark has a vertical position . Draw and label a point on the vertical axis to show the vertical position of each new animal.
A dragonfly at , where
A jellyfish at , where
An eagle at , where
A clownfish at , where
A vulture at , where
A goose at , where
We can represent sums, differences, products, and quotients of rational numbers (and combinations of these) with numerical and algebraic expressions.
Sums:
Differences:
Products:
Quotients:
We can write the product of two numbers in different ways.
We can write the quotient of two numbers in different ways as well.
When we have an algebraic expression like and are given a value for the variable, we can find the value of the expression. For example, if is 2, then the value of the expression is -4.25, because .