Definitions
What are like terms?
Same variables and same exponents.
Identify like terms: 3x, 9xy, 4, 4y, -xy
9xy and -xy
Apply distributive property to expand the expression:
3(x+4)
3x+12
Solve for x.
2x+3 = x + 7
x = 4
What is a "no solutions" equation?
"no solutions" is an equation that is never true.
Simplify the expression by combining like terms.
2x + 5 + 3x - 4
5x +1
Apply the distributive property to expand the expression.
-5(3x - 6)
-15x + 30
Solve for x:
2(x - 5) = x-2
x = 8
What is an identity equation?
An Identity is an equation that is always true.
Solve for x:
3x + 10 + 5x = 26
x = 2
Solve for x:
3(x+4) = - 15
x = -9
2(3x-1) = 6x -10
no solutions
What is a function?
A function is a relation in which for each value of input there is unique value of output.
Solve for x:
-3x - 7 + 6x = 20x = 9
-4(3x - 5) = 44
x = - 2
2(3x-1) + x = 5x -10
x = - 4
What is an equation?
An equation is a statement that two expressions are equal.
x - 8 - 4x - 2 = 5
x = -5
3(x-1) + 2(x+2) = 16
x = 3
3x + 2(x-4) = 5(x+1) - 13
infinite number of solutions
all real numbers