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Brayden's Math Puzzle

Across
Set of elements that are common to every set
subtracting the same number from each side of an equation produces an equivalent equation; ex: x + 3 = 2, x + 3 - 3 = 2 - 3
Are equations that have the same solution(s).
5x + 9, degree = 1, linear, # of terms = 2
is a monomial or a sum of monomials
term with no variable; ex: 7, 4, 100...
divide each side of an equation by the same nonzero number produces an equivalent equation; ex: 5x = 20, 5x/5 = 20/5
the cross products of a proportion are equal; ex: 3/4 = 9/12 so 3(12) = 4(12) or 36 = 36
have the same shape but not necessarily the same size
expresses an amount of change as a percent of an original amount
Is a number, variable, or a product of a number and one more variables;ex: 7a and -3a
a value of the variable that makes the equation true
getting the variable with a coefficient of 1 alone one on side of the equation
Down
the degrees of its monomial terms decrease from left to right
a numerical factor of a term Ex: 2x
ex: a/b = c/d, ad and bc
Well defined collection of objects
The set that contains all elements of the sets
is an equation that states that two ratios are equal
A real number, variable, or product of a real number and one or more variables with whole number exponents