a number increased by 7
x + 7
x+6-6x
-5x+6
A letter or symbol representing an unknown value.
Variable
Simplify the expression:
-(x-1)
-x+1
A number sentence that contains at least one variable.
Algebraic Expression
The product of a number and 6, increased by 5.
6n + 5
4a+3+10-9a
-5a+13
A number multiplied or divided by a variable
Coefficient
Simplify the expression:
8(7n+5)
56n+40
5 less than the quotient of 6 and a number.
6/n - 5
The product of a number and 3, decreased by 7.
3x-7
10-5v+10+3v
-2v+20
A number that is NOT multiplied or divided by a variable
Constant
Simplify the expression:
11(n-4) +3
11n-41
9(8x+11) - 2(4x -5)
66x+109
The quotient of a number and 6.
n/6
5b2-2+4b+5b-3
5b2+9b-5
Terms that share the same variable or have no variable at all.
Like Terms
Simplify the expression:
2 + 5(9x+3)
45x+17
1/3(3x -9) + 1/4(8-12x)
-2x-1
2n-10
1+9x+x2+2xy-3x+4-3xy
x2-xy+6x+5
A group of numbers & variables separated by an addition or subtraction sign
Terms
-9(x+2) + 1/2(6+8x)
-5x-15
-4xy + 5-6x-10+2x2-3xy+5x
2x2-7xy-x-5