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Helen L.

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how to solve linear inequalities

rewrite with two inequalities without the absolute value

a linear equation in one variable will have exactly one solution if the equation reduces to an equation of the form...

ax+b+cx+d

if 2+ linear equations have the same slope and y-int, they are...

same line

find x and y ints by...

setting the x or y equal to zero and and solving. then find slope to graph

linear inequality word problem tip:

if needed write the equation in terms of descriptive words before you define the variables as letters/numbers

systems of inequalities tip

create the system of inequalities then plug in the possible answers rather than solving for either variable

a system of equations has infinite solutions when

linear inequality word problem tip

when faced with a linear function word problem, what is often modeled as a linear function

a system of linear equations has no solutions when

steps for solving systems of linear equations

solving rational equations

shortcut for solving simultaneous equations

when ur given more equations than variables in a simultaneous equations problem...

when you cant use a shortcut for a simultaneous equations problem...

remember that when solving inequalities...

simplifying an inequality for a range of values

when simplifying an expression, when a problem contains an expression that CAN be factored ,

simplifying expression: "which of the following is equivilent to?" (it's all a matter of factoring!)

factoring quadratics

3 common types of equations used in quadratic equation questions

when a quadratic is in the form of y=ax^2 +bx+ c, the product of the roots is equal to

imaginary numbers

complex numbers

multiplying complex numbers

when a fraction has a complex # in the denom

absolute value questions

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