1.1/2 Quiz Flashcards

1
Q

Solving Equations Steps

A

1) Distribute
2) Simplify each side by combining like terms
3) Move variables to one side
4) Solve using inverse operations

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2
Q

Solving Fraction Equations

A

Find LCD, multiply to every variable, then simplify fractions

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3
Q

When Clearing Fractions in Equations

A

You can ALWAYS distribute first

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4
Q

Solving Equation Special Cases

A

In both, variables are gone

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5
Q

Proportions

A

When one fraction is equal to another, you cross multiply

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6
Q

An Absolute Value Can Not Be

A

A negative number inside the absolute value

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7
Q

Steps to Solve Absolute Value Equations

A

1) Isolate the absolute value expression
2) Create two cases (set the inside equation to both positive and negative value of the answer)
3) Solve both equations
4) Check for extraneous solutions

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8
Q

Interval Notation Examples

A

Parenthesis, open dot, not equal to, means open
Brackets, closed dot, equal to, means closed

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9
Q

Interval Notation

A

A way to write the solution to an inequality using infinity symbols, parenthesis, and brackets

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10
Q

Infinity

A

Boundless, uses parenthesis, written where you come from

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11
Q

Solving Inequalities

A

Follow the same rules, but flip the symbol if you multiply or divide by a negative number

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12
Q

OR

A

Meaning union, solve each part and then graph both solutions separately

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13
Q

AND

A

Meaning intersect, solve both and then graph into one solution using only numbers

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14
Q

AND with a

A

Separate into three sections to solve and use numbers

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15
Q

Always Read From

A

Variables

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