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Chapter 5 Section 1 Variable Notation
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Essential Question What is a solution to an equation?
Can you have multiple solutions? Can you have no solutions? Can you have infinitely many solutions?
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Important Vocabulary Equation: Symbolic statement that 2 expressions are equal in value Expression: #s, symbols, and letters grouped together that shows the value of something (no = sign) Variables: letters that have a certain but unknown value Factors: numbers or variables that are multiplied Terms: Algebraic expressions that are single quantities that may form a part of an equation or expression
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Important Vocabulary Constant: #
Coefficient: numerical factor in front of the variable Like terms: just numbers, or terms that have same variable (and same power/exponent)
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Key Words for Mathematical Statements
Addition: sum of, plus, increased by, more than, added to, exceeds, longer, total, heavier, older, wider, taller, gain, greater than, more, expands Subtraction: less thfan, decreased by, subtracted from, difference between, diminished by, take away, reduced by, less, minus, shrinks, younger, lower, shorter, narrower, slower, loss
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Key Words for Mathematical Statements
Multiplication: times, multiply, of, the product of, multiplied by Division: Divide, divided by, divided into, how big is each part, how many parts can be made from Others: = means “is”
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Examples: The sum of 6 and a number is 12 4 more than a number is 3
Eight times the difference of a number and 10 is 40 5 less than 4 times a number is -20
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Examples: X - 3 = 10 2x = 18 2 + x = 10 4x – 3 = 18
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