Warm Up: Mathematical Statements
Completion requirements
Warm Up |
Mathematical Statements
The following charts summarize common relationships. Keep in mind that there is no way to summarize every possibility. As such, common sense and attention to the context must be applied.
| Statement |
Math Symbols/Operation |
| total of, add, sum of, combined, together |
\( + \)
|
| subtraction, subtract, difference between/of, decreased by, minus |
\( - \)
|
|
multiplication, product, of, times
|
\( \times \) |
|
quotient of, ratio of, out of
|
\( \div \)
|
|
equals, is, will be, gives
|
\( = \)
|
|
an unknown number/measure/variable, a certain number
|
\( x, T, r, \theta \), etc.
|
| Statement |
Math Statement |
|
\(5\) more than a number
|
\( x + 5\) or \(d + 5\)
|
|
\(25\) times a number
|
\(25x\) or \(25h\)
|
|
Starlight's present age
|
\( a \) |
|
Starlight's age \(5\) years ago
|
\(a - 5 \)
|
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Starlight's age \( 7\) years from now
|
\(a + 7 \)
|
If you know a relationship between two or more values in a problem, you may be able to write them all using the same variable.
| Statement |
Math Statement |
|
Three consecutive numbers
|
\(x\), \(x + 1\), \(x + 2\)
|
|
Three consecutive even numbers
|
\(2x\), \(2x + 2\), \(2x + 4\)
|
|
Three consecutive odd numbers
|
\(2x + 1\), \(2x + 3\), \(2x + 5\)
|
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The sum of two numbers is \(99\)
|
\(x + (99 - x) = 99\)
The two numbers are \(x\) and \(99 - x\) |
|
The sum of the squares of two consecutive numbers
|
\(x^2 + \left( {x + 1} \right)^2 \)
|
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A certain number of nickels, and their value in dollars
|
\(n\), \(0.05n\) |
|
Four less than triple a number
|
\(3w - 4\)
|
|
A mother is \(5\) times as old as her son
|
\(5s\) |
|
Robert weighs \(3 \thinspace \rm{kg}\) more than Abdul
|
\(3 + a\)
|
|
A rectangle with a length \(3 \) times the width
|
Length = \(3w\)
Width = \(w\) |