Vocabulary
An expression with three terms
Trinomial
A mathematical rule stating that the order of numbers does not change the result in addition and multiplication.
Commutative Property
5x2-7 if x=–3.
38
–9b+4a+2b-6a
-7b-2a
The greatest common factor of 14 and 28
14
A letter used to represent a value that can change
Variable
Which property is illustrated by the equation
3(x+4)=3x+12?
Distributive property
Find the value of 5a-4b2 if a=–2 and b=–3.
-46
(11x+2)+(12x-3)
23x-1
Factor using GCF
3x+24
3(x+8)
A number by itself that cannot change
Constant
Which property is illustrated by the equation
6+(4+x)=6+(x+4)?
Commutative Property
Evaluate the expression 2x2+y when x=–3 and y=5 .
23
-9n - 4 + 3n - 12
-6n-16
Factor using GCF
8x+36
4(2x+9)
A number that multiplies a variable and is in front of a variable
Coefficient
Which property is used below to show the following expressions are equivalent?
(3+4)+9=3+ (4+9)
Associative property of addition
4x2+(y+8) when x=–2 and y=–6.
18
3(5x+2)-2(4x-3)
7x+12
Factor using GCF
10x-50
10(x-5)
Parts of an expression that is separated by addition or subtraction.
Terms
Write an expression to represent the area of a rectangular garden that has a width of 3 and a length of 5x+2
A= 3(5x+2)
Ally is running a lemonade stand. She started the day with $5 in her cash box. She sells each cup of lemonade for 75 cents. The total amount of money she has can be found using the expression 5+.75s , where s is the number of cups she sells.
Evaluate the expression when s = 25
$23.75
(7x+3)-(4x-5)
3x+8
Factor using GCF
6x-10
2(3x-5)