1. 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 +

2. +, -, ÷, 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

3. 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
+ , -

4. 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

5. 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, +

6. 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 , *

7. 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

8. 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

9. + 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

10. 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

11. 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

12. 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

13. 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

14. Equation

15. 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

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

17. 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