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Question
interpreting expressions
algebraic expressions: groups of symbols, such as numbers, _, and operators (they _ include relation signs such as =,<, and >).
translating descriptions into algebraic expressions
meanings of mathematical words and phrases
| verbal representation | algebraic representation or example |
|---|---|
| _ of, more than, greater than | 3 + a ↔ \the sum of 3 and a number\ (3 is a constant and a is a variable in this expression) |
| _ of, less than | 5 - y ↔ \a number less than 5\ (5 is a constant and y is a variable in this expression) |
| product of, _ by | 12r ↔ \the product of 12 and a number\ (12 is a coefficient and r is a variable in this expression) |
| quotient of, _ by | \\(\frac{q}{7}\\) ↔ \the quotient of a number and 7\ |
| the quantity of | grouping symbols like parentheses, as in 4(a + 2) ↔ \4 times the quantity of a plus 2\ |
| power of, raised to | an _, as in 7^ _ ↔ \7 raised to a number\ |
guided notes: expressions
Brief Explanations
Algebraic expressions consist of numbers, variables, and operators. Words like "sum" mean addition (more than), "difference" means subtraction (less than), "product" means multiplication (times), "quotient" means division, and "power" refers to exponents.
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