Dr. Pittman's 1st Semester Course
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
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| Reflexive Property of Equality | The property that a = a. One of the equivalence properties of equality
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| Symmetric Property of Equality | Definition: If a = b, then b = a. Example of the Symmetric Property of Equality Equation 1: 5x + 20 = 35 Equation 2: 35 = 5x + 20 In spite of the rearranged terms, Equation 1 and Equation 2 are identical.
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| Transitive Property of Equality | If a = b and b = c, then a = c. One of the equivalence properties of equality. Note: This is a property of equality and inequalities. One must be cautious, however, when attempting to develop arguments using the transitive property in other settings.
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| Substitution Property of Equality | The substitution property of equality that, if a = b, then b can be substituted for a in any equation without changing the truth value of the equation. For example: •Let a = b. •Let d = a + 2. •Then d = b + 2.
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| Variable | A symbol for a number we don't know yet. It is usually a letter like x or y. Example: in x + 2 = 6, x is the variable
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| Constant | A fixed value. Example: in 2 + 6 = 8, 2, 6, and 8 are constants. Sometimes an a, b, or c can also be a constant.
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| Numerical Expression | A numerical expression is a combination of numbers and one or more operation symbols. Example: 23 + 15 – 8 or 2x -6
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| Variable Expression | A variable is a symbol used to represent a number in an expression or an equation. The value of this number can change. An algebraic expression is a mathematical expression that consists of variables, numbers and operations. The value of this expression c
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| Evaluate | To calculate the value of a word problem or a equation.
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| Solution | Any and all value(s) of the variable(s) that satisfies an equation, inequality, system of equations, or system of inequalities.
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| Properties of Equality | Properties and algebra rules for manipulating equations. Operations Addition: If a=b then a+c=b+c.Subtraction: If a=b then a–c=b–c. Multiplication: If a=b then ac=bc. Division: If a=b and c≠0 then a/c=b/c. Reflexive Property a=a Symmetric Property If a=b
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| Distributive Property |
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| Proof |
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| Identity | An equation which is true regardless of what values are substituted for any variables. Identities: 1 + 1 = 2 (x + y)2 = x2 + 2xy + y2 a^2 ≥ 0 sin2 θ + cos2 θ = 1
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| Addition Property of Equality |
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| Multiplication Property of Equality |
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| Division Property of Equality |
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| Extraneous Solution |
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| No Solution |
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| Literal Equation |
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| Commutative Property of Addition |
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| Commutative Property of Multiplication |
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| Inverse Operations | Operations that undo each other: Ex. 1+5=6 or 5+1=6, additive 6-5=1 or 6-1=5, subtractive a/a= 1, multiplicative
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| Absolute Value Equation |
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| Inequality Equations |
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To hide the entire table, click on the "Hide All" button.
You may also shuffle the rows of the table by clicking on the "Shuffle" button.
Or sort by any of the columns using the down arrow next to any column heading.
If you know all the data on any row, you can temporarily remove it by tapping the trash can to the right of the row.
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