LINEAR AND QUADRATIC EQUATIONS Flashcards

1
Q

SOLVING AN EQUATION FOR ONE VARIABLE

A
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2
Q

SOLVING A SYSTEM OF EQUATIONS FOR TWO VARIABLES: THE SUBSTITUTION METHOD

A
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3
Q

SOLVING A SYSTEM OF EQUATIONS FOR TWO VARIABLES: THE SUBSTITUTION METHOD

A
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3
Q

SOLVING A SYSTEM OF EQUATIONS FOR TWO VARIABLES: COMBINATION BY SUBTRACTION

A
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4
Q

SOLVING A SYSTEM OF EQUATIONS FOR TWO VARIABLES: COMBINATION BY ADDITION

A
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5
Q

SOLVING A SYSTEM OF EQUATIONS FOR TWO VARIABLES: COMBINING EQUATIONS WHEN THE COEFFICIENTS ARE DIFFERENT

A
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6
Q

SOLVING A SYSTEM OF EQUATIONS FOR TWO VARIABLES: WHICH METHOD TO USE?

A

COMBINATION METHOD: WHEN NEITHER EQUATION CAN EASILY BE SOLVED FOR ONE OF THE VARIABLES

SUBSTITUTION METHOD: WHEN ONE EQUATION CAN EASILY BE SOLVED FOR ONE OF THE VARIABLES

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7
Q

EQUATIONS WITH FRACTIONS

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8
Q

EQUATIONS WITH FRACTIONS

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9
Q

EQUATIONS WITH FRACTIONS

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10
Q

EQUATIONS WITH FRACTIONS

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11
Q

EQUATIONS WITH FRACTIONS

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12
Q

EQUATIONS WITH FRACTIONS

A

REMEMBER HERE: FINDING AND COMBINING THE LCM

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13
Q

EQUATIONS WITH FRACTIONS

A
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14
Q

SOLVING FOR VARIABLES IN TERMS OF OTHER VARIABLES

A
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15
Q

SOLVING FOR VARIABLES IN TERMS OF OTHER VARIABLES

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16
Q

SOLVING FOR VARIABLES IN TERMS OF OTHER VARIABLES

A
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17
Q

SOLVING FOR VARIABLES IN TERMS OF OTHER VARIABLES

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18
Q

SOLVING FOR VARIABLES IN TERMS OF OTHER VARIABLES

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19
Q

SOLVING FOR VARIABLES IN TERMS OF OTHER VARIABLES

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20
Q

FACTORING OUT COMMON FACTORS

A
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21
Q

SOLVING FOR VARIABLES IN TERMS OF OTHER VARIABLES

A

Answer is A because statement 2 is not sufficient

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22
Q

SOLVING FOR VARIABLES IN TERMS OF OTHER VARIABLES

A
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23
Q

SOLVING FOR VARIABLES IN TERMS OF OTHER VARIABLES

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24
THEORY: WHEN THE PRODUCT OF TWO INTEGERS IS 1?
THEN EITHER: BOTH ARE 1 OR BOTH ARE -1
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WHEN THE PRODUCT OF TWO INTEGERS IS 1
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THEORY: THE ZERO PRODUCT PROPERTY
IF THE PRODUCT OF TWO QUANTITIES IS EQUAL TO ZERO THEN AT LEAST ONE OF THE QUANTITIES HAS TO BE EQUAL TO ZERO
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THE ZERO PRODUCT PROPERTY
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THEORY: THE ZERO PRODUCT PROPERTY X(X + 10) = 0 ? WHAT IS X?
X CAN BE: 1) 0 OR 2) -10 SO BE CAREFUL FOR THIS TRAP
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QUADRATIC EQUATIONS: FACTORING QUADRATIC EQUATIONS
Remember the step here: (3-a) can be rewritten as -(a-3) which then changes the equation
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QUADRATIC EQUATIONS: FACTORING QUADRATIC EQUATIONS
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QUADRATIC EQUATIONS: FACTORING QUADRATIC EQUATIONS
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QUADRATIC EQUATIONS: FACTORING QUADRATIC EQUATIONS
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QUADRATIC EQUATIONS: FACTORING QUADRATIC EQUATIONS
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QUADRATIC EQUATIONS: FOILING QUADRATIC EQUATIONS
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QUADRATIC EQUATIONS: FOILING QUADRATIC EQUATIONS
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QUADRATIC EQUATIONS: FOILING QUADRATIC EQUATIONS
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QUADRATIC EQUATIONS: THREE QUADRATIC IDENTITIES
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THEORY: QUADRATIC EQUATIONS: THREE QUADRATIC IDENTITIES
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QUADRATIC EQUATIONS: THREE QUADRATIC IDENTITIES
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QUADRATIC EQUATIONS: THREE QUADRATIC IDENTITIES
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QUADRATIC EQUATIONS: THREE QUADRATIC IDENTITIES
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QUADRATIC EQUATIONS: THREE QUADRATIC IDENTITIES
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QUADRATIC EQUATIONS: THREE QUADRATIC IDENTITIES
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THEORY QUADRATIC EQUATIONS: THE DIFFERENCE OF SQUARES
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QUADRATIC EQUATIONS: THE DIFFERENCE OF SQUARES
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QUADRATIC EQUATIONS: THE DIFFERENCE OF SQUARES
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QUADRATIC EQUATIONS: THE DIFFERENCE OF SQUARES
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QUADRATIC EQUATIONS: THE DIFFERENCE OF SQUARES
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QUADRATIC EQUATIONS: THE DIFFERENCE OF SQUARES
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QUADRATIC EQUATIONS: THE DIFFERENCE OF SQUARES
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QUADRATIC EQUATIONS: THE DIFFERENCE OF SQUARES
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QUADRATIC EQUATIONS: THE DIFFERENCE OF SQUARES
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QUADRATIC EQUATIONS: THE DIFFERENCE OF SQUARES
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THEORY QUADRATIC EQUATIONS: ANOTHER WAY TO EXPRESS NEGATIVE 1
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QUADRATIC EQUATIONS: ANOTHER WAY TO EXPRESS NEGATIVE 1
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QUADRATIC EQUATIONS: ANOTHER WAY TO EXPRESS NEGATIVE 1
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QUADRATIC EQUATIONS: ANOTHER WAY TO EXPRESS NEGATIVE 1
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QUADRATIC EQUATIONS: CONSTANT TERMS AND COEFFICIENTS IN QUADRATIC EQUATIONS
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QUADRATIC EQUATIONS: CONSTANT TERMS AND COEFFICIENTS IN QUADRATIC EQUATIONS
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QUADRATIC EQUATIONS: CONSTANT TERMS AND COEFFICIENTS IN QUADRATIC EQUATIONS
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QUADRATIC EQUATIONS: QUADRATIC EQUATIONS THAT RESULT FROM REMOVING FRACTIONS
The answer here would be C
61
EQUATION TRAP 1: TWO EQUATIONS APPEAR DIFFERENT BUT THEY ARE ACTUALLY THE SAME
The answer here is A
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EQUATION TRAP 2: ONE EQUATION IS SUFFICIENT TO DETERMINE UNIQUE VALUES FOR TWO VARIABLES
The answer here would be A. NB: Use the LCM method here correctly
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EQUATION TRAP 3: PART OF AN EQUATION CAN BE SUBSTITUTED INTO ANOTHER EQUATION
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EQUATION TRAP 4: THERE IS A QUADRATIC EQUATION PRESENT
The answer here is E
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EQUATION TRAP 5: AN EQUATION HAS THREE OR MORE SOLUTIONS
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EQUATION TRAP 5: AN EQUATION HAS THREE OR MORE SOLUTIONS
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EQUATION TRAP 6: ASSUMING THE VALUE OF A VARIABLE CANNOT BE ZERO
Correct answer here would be C