Can contain variables, operations, and numbers but NO equal sign.
Expression
Determine if the following is an expression or an equation and then simplify or solve: x + 31 = 5
Equation; x = -26
3x = 12
x = 4
Translate:
4 less than a number
x - 4
A mathematical statement that shows that two expressions are equivalent.
Equation
Determine if the following is an expression or an equation and then simplify or solve: 16 - x
Expression; cannot be simplified
-4y = -16
y = 4
Wrong; y = -4
72 - 4(3) + 2
39
Another word for the letters used in expressions and equations.
Variable
Determine if the following is an expression or an equation and then simplify or solve: -x/3 = 27
Equation; x = -81
Evaluate 3(10-x) for x = 17
-21
x - 7 = 49
x = 42
Wrong; x = 56
Translate: Twice the sum of a number and six
2(x + 6)
Numbers in expressions and equations not paired with the variable whose value cannot change.
Constant
Determine if the following is an expression or an equation and then simplify or solve: 268 = 4x
Equation; x = 67
Evaluate 48/x for x = -12
-4
30 = 5x
x = 150
Wrong; x = 6
True or False
152 = 252
False, 152= 225
The number paired with the variable in an equation or expression.
Coefficient
Determine if the following is an expression or an equation and then simplify or solve: 14x + 2(x-5) - 10
Expression; 16x - 20
Evaluate -4x - (-7) for x = 2
-1
y/10 = -50
y = -500
Right
Simplify
-| 5 |
-5