terms
what is it called when you add coefficients that are alike in a term?
combining like terms
equation 1: 2x+y=5
equation 2: x-y=1
x=2
y=1
what law/rule is being described; any number (excluding zero) raised to the power of zero is equal to 1
zero exponent rule
2x+5=13
x=4
What is it called when measuring the steepness of a line?
slope/finding slope
3x+2y=8
2x-y=1
x=10/7
y=13/7
what law is being described; when a base raised to a power is being raised to another power, the exponent is multiplies and the base remains the same
power of a power
3(x-4)=21
x=11
what moves a shape up, down, left, or right and is congruent?
translation
2x+3y=8
4x-y=5
x=23/14
y=11/7
what law is being described; when a whole multiplication expressing is raised to a power
power of a product
2(x+3)-4=10
x=4
what method is used to solve systems of equations where you replace the variable from one question with an expression and another variable from another equation?
substitution
3x+2y=7
5x-4y=1
x=15/11
y=16/11
what law is being decribed; the base must be written as its reciprocal to turn the exponent positive
negative exponent law
2x+3(x-1)=4x-2
x=1
expressions where any two expressions are compared using <,>,≤ or ≥
linear inequalites
-2x+3y=-5
4x-y=6
x=13/10
y=-4/5
what law is being described; when the power of a quotient is the same as the power in all terms in the numerator and denominator raised individually
power of a quotient
4(3x+2)-5(2x-1)=7
x=-3