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Expressions and Equations Vocabulary (examples included)
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Key Concepts:
Terms in this set (15)
Algebraic Expression
z -7
5x
8 y + 4
An expression consisting of constants, variables, and operations.
Algebraic Equation
4 + 2x = 9
10 = x/6
An statement of equality consisting of constants, variables, and operations.
Coefficient
4x
-1/2y
4 and -1/2 are the coefficients
The number before the variable signifying the multiplier
Term
2, x, y^2, 4z
A constant, a variable, a variable raised to a power, a number multiplied by a variable
Operation
Addition, Subtraction, Multiplication, Division, Square root, Square
Inverse operation
Addition & Subtraction
Multiplication & Division
Square & Square Root
Opposite operations
Isolate the variable or Solve
Get the variable alone or away from the other terms
Solution
x + 4 = 13
x = 9
because
9 + 4 = 13
The value that can be substituted for the variable to make the equation true
Distributive property
4 ( 2 + 5) = 4
2 + 4
5 = 8 + 20 = 28
Multiplying a number outside of a set of parenthesis to each number inside the parenthesis and then simplifying
Like Terms
3, -7, 2/5 (constants)
x, 5x, -8x
x^2, 3x^2, -9x^2
Terms that have the same variable and same exponent
Variable
x, y, t, w, n, m, b
A quantity or value that may change in a mathematical expression, equation, or inequality
Constant
6, -4, 4/7
A number without a variable,
Does not change
Combine like terms
8 + 7x - 6 - 3x
8-6 (constants)
7x -3x (same variable and exponent)
4x +2 is simplified
To simplify an expression by adding or subtracting constants, and terms with the same variable and exponent
Evaluate
x - 10 when x = 18
18 - 10
8
Determine a value of a given expression or using substitution to determine a value for an algebraic expression
Property of Equality
x - 8 = 12
+ 8 +8
x = 20
Perform an inverse operation to both sides of an equation in order to isolate a variable and maintain balance
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