2x - 7 Expression 4x 4x + 7 Y – 3 3 / w 3 + 4 = 7 2 X 2x=10 + Definition Numbers, symbols and operators grouped together to show the value of something Looks Like 2x - 7 Expression Examples 4x 4x + 7 Y – 3 3 / w Non-Examples 3 + 4 = 7 2 X 2x=10 +

+, -, ÷, x Operator 2 x + (addition) - (subtration) ÷ or / (division) Definition A symbol that represents and operation Looks Like +, -, ÷, x Operator Examples + (addition) - (subtration) ÷ or / (division) X or · (multiplication) Non-Examples 2 x

A number, variable, or number and variable multiplied together. Definition A number, variable, or number and variable multiplied together. Looks Like 2 Y 2y Term Examples 4 X 4b (means 4 x b) Non-Examples + , -

A symbol for a number we don’t know yet, usually a letter Definition A symbol for a number we don’t know yet, usually a letter Looks Like A Variable Examples In 4x + 3, x is the variable Non-Examples 2 3 9 27

3 Constant X, 4y, b, + In 3x + 27= 30 ; 27 and 30 are constants Definition A fixed value, or number on its own Looks Like 3 Constant Examples In 3x + 27= 30 ; 27 and 30 are constants Non-Examples X, 4y, b, +

3z Coefficient 4, + , X , * In 4b ; 4 is the coefficient Definition A number that is multiplied by a variable Looks Like 3z Coefficient Examples In 4b ; 4 is the coefficient Non-Examples 4, + , X , *

3x = 4 3 + 4 =7 Equation 2x 3+y B + 7 = 15 4x + 7 = 12 Definition An equations says that two things are the same using mathematical symbols. Has an = sign Looks Like 3x = 4 3 + 4 =7 Equation Examples B + 7 = 15 4x + 7 = 12 Non-Examples 2x 3+y

Says that two values are not equal Definition Says that two values are not equal Looks Like X < 9 Inequality Examples 2x + 5 > 9 3b + 8 > 24 Non-Examples X 2x + 4 4 + b = 7

+ and – x and ÷ Inverse Operation Replacing a variable with a value Definition An operation that reverses the effect of another operation Looks Like + and – x and ÷ Inverse Operation Examples Multiplication and division are inverse operations Addition and subtraction and inverse operations Non-Examples Replacing a variable with a value

Substitution Putting numbers where variables are Definition Putting numbers where variables are Looks Like Substitution Examples If x = 5, then what is x + 10? Put “5” where “x” is: 5+10 =15 Non-Examples Using an inverse operation

f(x) = 2 + x Funciton Y, 2, 2x, 2+b f(x) = 4+x f(4) = 4+4 or 8 Definition A function is a special relationship between values: Each of its input values gives back exactly one output value. Looks Like f(x) = 2 + x Funciton Examples f(x) = 4+x f(4) = 4+4 or 8 Non-Examples Y, 2, 2x, 2+b

Independent Variable 3 , 7x Definition A variable whose value determines the value of other variables Also known as the input Looks Like Independent Variable Examples In 3x + 7 = y ; x is the independent variable Non-Examples 3 , 7x

Dependent Variable 3 , 7x In 3x + 7 = y ; y is the dependent variable Definition A variable whose value is determined by the value of other variables Also known as the output Looks Like Dependent Variable Examples In 3x + 7 = y ; y is the dependent variable Non-Examples 3 , 7x

Equation

Guided Practice Identify each as an expression, equation, inequality, or function f(x) = x + 7 3x + 4 6b + 7 = 12 5 – y < 17 8 / 26

Guided Practice Identify the inverse operation 6. X + 12 7. 16 – b

Guided Practice Complete the chart Equation Expression Operators Variables Constants 3x + 8 = 15 2 – y = 12 22 = 8/x b/18 = 100 w/9 + 2 – x = 17