Name:_______________________________
3.1 Introduction to Algebra: Vocabulary
Equation: a math sentence that states two quantities are ___________ .
It will have an _____________________ .
3x + 1 = 7
The equation says: what is on the left (
) is equal to what is on the right (
).
Parts of an Equation

Variable: a ____________ that represents a number we do not
know yet.
3x + 1 = 7
!!! Every variable has a _________________

Coefficient: the number ____________________ the variable.
Can be __________________ or __________________ .


Constant: a number with no ________________ attached.
Term – any of the following:
single number (constant)
single variable
the product of a number (coefficient) and variable(s).
What coefficient
does this
variable have?
2k + 15 – m – 3 + n – 7p
– 8 – 4c + 7 – c – 12c – 2
Terms: ______________________________
Terms: ______________________________
Variables: ____________________
Variables: ____________________
Coefficients: _________________
Coefficients: _________________
Constants: ____________________
Constants: ____________________

EXPRESSION: a group of terms. Contains numbers, __________________, and variables.
DOES NOT contain an _________________________ .
Label the parts of the expression: Coefficient, Constant, Variable
1.
8y – 7 + 2y
How many TERMS are present in this expression? ____ List them: ________________________
2.
m + 4 + 2 – 7m + 6
How many TERMS are present in this expression? ____ List them: ___________________________
Identify the terms, variables, coefficients, and constants in each expression.
3. –4a – 7b + 5 + c
4. 7 – 5h – 2 – k
Terms:
Terms:
Variables:
Variables:
Coefficients:
Coefficients:
Constants:
Constants:
5. 5 – 4x – 8y
6. 9k + 7 – k + 4
Terms:
Terms:
Variables:
Variables:
Coefficients:
Coefficients:
Constants:
Constants:
Inequality – a mathematical sentence that contains the symbols: ___ ___ ___ ___ .
>: _________________________
< : _____________________
≥: _________________________
≤ : _______________________
Tell whether the following phrases are expressions, equations, or inequalities. Circle the key symbol.
1
–2
1) 5x > 25
2)
3) 29 – k
4) 8b + 9c < 45
5)

2
6) r – (–12) = 9
12
7) –4m = 16
8) h + (–9) ≥ 3
Write without parentheses (Simplify the expressions):
(–a)3
(–5)x
(–1)(–c)
–8(–m)
4(–b)
–(–8)y
(–d)(–6)
–n(–7)
(–3)2x
–3(2x)
3(–2x)
–3(–2x)
(–3)6a
(–7x)(–5)
–8m (3)
–6(–2d)
6a(2)
–6a(2)
6a(–2)
(–6a)(–2)
Label the following parts.
Math
Sentence
3x – 2 = 16
Variables
Coefficients
Constants
# of Terms
Equation,
Expression, or
Inequality?
Homework 3.1
1. Label the following parts.
Math
Sentence
Equation,
Variables Coefficients Constants # of Terms Expression, or
Inequality?
5x = 40
12 + y > 13
3k – x + 9
w + (–6) = 7
–10 + 3x – x
2. Write without parentheses (Simplify the expressions):
4b(–8)
–6(4y)
–4(–3n)
–7c(–3)
14x(–7)
14x(–7)
–14x(–7)
–14x(7)
Identify the terms, variables, coefficients, and constants in each expression.
3) –5a – 7 + 5d + h
4) 7m – 5 – n – 8k
Terms:
Terms:
Variables:
Variables:
Coefficients:
Coefficients:
Constants:
Constants:
Tell whether the following phrases are expressions, equations, or inequalities. Circle the key symbol.
1
<2
5) 5x = 25 – 3x
6)
7) 29 – k ≥ -5
8) 8b + 9c + 45
2
9) A sentence containing the symbol < is called a(n) _________________.
10) Expressions that represent repeated multiplication are called __________________.
11) An integer and its opposite are _____________________________.
12) What is the multiplicative inverse of 5? _______

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