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Math
Algebra
Chapter 1 Vocabulary Terms
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Terms in this set (17)
Algebraic Expression
A collection of constants, variables, operation symbols, and or/grouping symbols
Exponent
A number that indicates how many times its base is used as a factor
Simplify
For an expression, to replace it with its simplest form
Evaluate
For an expression, to substitute a given number for each variable and simplify the result using orders of operations
Absolute Value
The undirected distance between 0 and the number on a number line
Variable
A symbol, usually a letter, used to represent an unknown number
Equation
A statement that two quantities are equal
Inequality
A statement that two expression are not equal
Identity Property of Multiplication
uv x 1 = uv
Associative Property of Multiplication
5(gh) = (5g)h
Inverse Property of Addition (opposites)
7 + (-7) = 0
Distributive Property
2 (c + d) = 2c + 2d
Commutative Property of Addition
9 + w = w + 9
Inverse Property of Multiplication (reciprocal)
3 x 1/3 = 1
Identity Property of Addition
12 + 0 = 12
Associative Property of Addition
(n + 2) + 1 = n + (2 + 1)
Commutative Property of Multiplication
uvw = vuw
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Verified questions
algebra
A store is discounting all of its television sets by $50 for an after-Thanksgiving sale. The sales tax rate is 7.5%. Write a function s(p) that gives the sale price of a television regularly priced at p dollars. Write a function t(p) that gives the total cost including tax for a television priced at p dollars. A customer wants to buy regularly priced at$800. Does it matter whether the sales clerk applies the sale discount first or adds on the sales tax first to find the total cost? Use compositions of the functions s and t to support your answer.
algebra
The resistance R of a wire varies directly as its length L and inversely as the square of its diameter d. (a) Write an equation that expresses this joint variation. (b) Find the constant of proportionality if a wire 1.2 m long and 0.005 m in diameter has a resistance of 140 ohms. (c) Find the resistance of a wire made of the same material that is 3 m long and has a diameter of 0.008 m. (d) If the diameter is doubled and the length is tripled, by what factor is the resistance changed?
algebra
Joshua is going kayaking with a group during one of his vacation days. In his vacation planning, he budgeted $50 for a kayak rental. Rental Rates (Per hour) single kayak$15 single sea kayak $18 double kayak$25 How can Joshua determine the number of hours he can rent a kayak for himself? Describe two different options.
algebra
Write a function rule to represent each situation. You buy several pairs of socks for $4.50 per pair, plus a shirt for$10. The total amount a you spend is a function of the number of pairs of socks s you buy.
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