Vocabulary for Equations

1. Solving Equations
Vocabulary words

2. 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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3. Solution
The value that makes the equation true.
The solution to the problem
x-3 = 7 is 10.
solution
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4. Inverse operations
Operations that “undo” each other.
The inverse operation of
addition is subtraction.
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5. 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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6. Two-step equation
An equation that contains two different operations.
The equation 2x - 3 = 9 is a two-
step equation.
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7. Terms
The coefficients, variables and constants that
make up an equation.
In the expression
3x + 4y + 7 - 12 + 10x + 6y…
3x, 4y, 7, -12, 10x, 6y are all
terms.
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8. 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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9. Coefficient
The number in front of a variable.
The coefficients in the expression
13x + 10y - 5 are 13 and 10
coefficient
=3b
b b b
variable
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10. 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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11. Equivalent Equations
Two equations that have the same solution.
The equations x + 10 = 20 and
X = 10 are equivalent
equations.
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12. 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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13. 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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14. 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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