Download Document

Name __________________________________
Date ____________________
6.23 Algebraic Expressions and Equations
Vocabulary Overview:
1. A coefficient is the numerical factor in a term. For
example, in the term 4x, 4 is the coefficient.
Circle the coefficient
3x
4y
5a
7b
a
* If the
coefficient is
not written it is
1!
2. A variable is a symbol (placeholder) used to represent
an unknown number.
Circle the variable
3x
4y
5a
7b
a
3. A term is a number, variable, product or quotient in a
expression of sums and/or differences. Some examples
are:
w
5
3w
y
8
Terms are separated with + or – sign.
7x2 + 5x - 3
Above there are 3 terms!
Name __________________________________
Date ____________________
Indicate the number of terms in each expression
2x+1
# of terms
__________
2x+2
__________
3b
__________
5a+25
__________
15c+10
__________
4d-6
_________
a
6
y+3-7
2
_________
b+5
3
_________
_________
4. Inverse operations are operations which undo each
other!
Ex. Addition and Subtraction are inverse operations.
Multiplication and Division are inverse operations.
Name __________________________________
Date ____________________
5. An expression can be a term or a collection of terms
separated by addition or subtraction signs.
Expression
# of terms
Description
3y
_________
a number multiplied
by a variable
4x+1
_________
terms separated by +
3b +7c – 4
_________
terms separated by + or –
x
5
_________
no + or - symbol
Expressions do not include an equal sign!
How many terms are in the following:
a. 2x + 1 ______
b. 7b – 4 + 2b ______
c. 3- 2b ______
d. 3xy – 1 + 10b ______
6. An equations is a mathematical sentence stating that
two expressions are equal.
Ex. 2x + 1= 4
2x +1 is an expression
4 is an expression
The expressions are equal to one another
Name __________________________________
Date ____________________
Expression or Equation
Circle each expression. Some examples have two. Put a box
around the whole example when two expressions form an
equations.
2x+1
4x-1= 5
3x=6
2x+2
3x-5=10
3b
5a+25
15c+10
4d-6
a
6
y+3=7
2
b+5
3
Coefficients, Variables and Terms
Complete the chart below.
Variable
Coefficient
2x+1
________
__________
Terms
______
b+5
3
________
__________
______
3b
________
___________
______
5a+25
________
___________
______
15c+10-1
________
___________
______
a
6
________
___________
______
Name __________________________________
Date ____________________