Name:_______________________________
: 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 ( ).
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
Terms: ______________________________
Variables: ____________________
Coefficients: _________________
Constants: ____________________
– 8 – 4c + 7 – c – 12c – 2
Terms: ______________________________
Variables: ____________________
Coefficients: _________________
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: ________________________
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.
–4 a
– 7b
+ 5 + c 4. 7
– 5 h
– 2 – k
Terms: Terms:
Variables: Variables:
Coefficients:
Constants:
Coefficients:
Constants:
5. 5 – 4
Terms: x – 8y
Variables:
Coefficients:
Constants:
6. 9 k + 7
Terms:
–
Variables:
Constants: k
Coefficients:
+ 4
Tell whether the following phrases are expressions, equations, or inequalities. Circle the key symbol.
1) 5x > 25 2)
1
2 𝑥 – 2
3) 29 – k
7) –4m = 16
4) 8b + 9c < 45
5) 𝑥𝑦
12
6) r – (–12) = 9
8) h + (–9) ≥ 3
Write without parentheses (Simplify the expressions):
(–a)3
4(–b)
(–5)x
–(–8)y
(–1)(–c)
(–d)(–6)
–8(–m)
(–3)2x –3(2x) 3(–2x)
–n(–7)
–3(–2x)
(–3)6a
6a(2)
(–7x)(–5)
–6a(2)
–8m (3)
6a(–2)
–6(–2d)
(–6a)(–2)
Label the following parts.
Math
Sentence
3x – 2 = 16
Variables Coefficients Constants # of Terms
Equation,
Expression, or
Inequality?
1. Label the following parts.
Math
Sentence
5x = 40
Variables Coefficients Constants # of Terms
Equation,
Expression, or
Inequality?
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)
14x(–7) 14x(–7) –14x(–7)
–7c(–3)
–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.
5) 5x = 25 – 3x
7) 29 – k ≥ -5
6)
1
2 𝑥 < 2
8) 8b + 9c + 45
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? _______