16 terms

Unit 4: One Step Equations and Inequalities

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Constant of Proportionality
If a quantity x is proportional (directly) to another quantity y, then x is written as x = ky, where k is called the _____________
Direct Proportion (Direct Variation)
Two quantities are said to be in direct proportion (or directly proportional), if one is a constant multiple of the other, i.e. y is said to be directly proportional to x if y = kx where k is a constant.
Division Property of Equality
states that dividing both sides of an equation by a non-zero number doesn't affect the equation
Equation
a mathematical sentence that uses the equal sign (=) to show that two expressions are equal.
Inequality
a mathematical sentence that uses symbols such as <, ≤,="">, or ≥ to compare two quantities.
Inverse Operation
if one operation undoes the effect of the other operation.
Multiplication Property of Equality
The two sides of an equation remain equal if they are multiplied by the same number. That is: for any real numbers a, b, and c, if a = b, then ac = bc.
Proportion
an equation written in the form a/b=c/d stating that two ratios are equivalent.
Subtraction Property of Equality
If the same number is subtracted from both sides of an equation, then the two sides remain equal. That is, if x = y, then x - z = y - z.
Term
A number, a variable, or a product of numbers and variables.
Variable
A letter or symbol used to represent a number or quantities that vary.
Addition Property of Equality
If the same number is added to both sides of an equation, the two sides remain equal. That is, if x = y, then x + z = y + z.
Dependent variable
a variable whose value depends on the values of one or more independent variables.
Independent variable
in an equation may have its value freely chosen regardless the values of any other variable.
Solution:
the set of all values which, when substituted for unknowns, make an equation true.
Substitution
the process of replacing a variable in an expression with its actual value.
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