Main Idea/Vocabulary two-step equation Solve two-step equations.
Vocabulary presentation equations
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Transcript of Vocabulary presentation equations
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Solving Equations
Vocabulary words
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Equation
A mathematical sentence that uses an equal sign to show that two expressions are equal.
X – 26 = 3 is an equation.
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Solution
The value that makes the equation true.
The solution to the problem x-3 = 7 is 10.
solution
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Inverse operations
Operations that “undo” each other.
The inverse operation of addition is subtraction.
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Multiplication property of equality
When you multiply each side of the equation by the same non-zero number, it results in an equivalent equation.
If I multiply 2/5 on one side of the equation and multiply 2/5 on the other side of the equation, I am showing the Multiplication property of equality.
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Two-step equation
An equation that contains two different operations.
The equation 2x - 3 = 9 is a two-step equation.
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Terms
The coefficients, variables and constants that make up an equation.
In the expression3x + 4y + 7 - 12 + 10x + 6y…3x, 4y, 7, -12, 10x, 6y are all terms.
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Addition Property of Equality
When you add each side of the equation by the same nonzero number, it results in an equivalent equation.
If I add 4 to one side of the equation and add 4 to the other side of the equation, I am showing the Addition property of equality.
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Coefficient
The number in front of a variable.
The coefficients in the expression 13x + 10y - 5 are 13 and 10
= 3b b b
coefficient
b
variable
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Division Property of Equality
When you divide each side of the equation by the same nonzero number, it results in an equivalent equation.
If I divide by -3 on one side of the equation and divide by -3 on the other side of the equation, I am showing the Division property of equality.
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Equivalent Equations
Two equations that have the same solution.
The equations x + 10 = 20 and X = 10 are equivalent equations.
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Like terms
Terms that look alike involving variables and constants.
In the equation 3x + 4y + 7 - 12 + 10x + 6y…3x and 10x, 4y & 6y, 7 & -12 are all like terms
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Subtraction Property of Equality
When you subtract each side of the equation by the same nonzero number, it results in an equivalent equation.
If I subtract 4 on one side of the equation and subtract 4 on the other side of the equation, I am showing the Subtraction property of equality.
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Variable
An unknown quantity that is represented by one of the 26 letters of the alphabet.
In the equation 3x + 4 = 8, the x is the variable.
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