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

A
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8
Q

EQUATIONS WITH FRACTIONS

A
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9
Q

EQUATIONS WITH FRACTIONS

A
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10
Q

EQUATIONS WITH FRACTIONS

A
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11
Q

EQUATIONS WITH FRACTIONS

A
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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

A
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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

A
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18
Q

SOLVING FOR VARIABLES IN TERMS OF OTHER VARIABLES

A
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19
Q

SOLVING FOR VARIABLES IN TERMS OF OTHER VARIABLES

A
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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

A
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24
Q

THEORY: WHEN THE PRODUCT OF TWO INTEGERS IS 1?

A

THEN EITHER:
BOTH ARE 1
OR
BOTH ARE -1

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25
Q

WHEN THE PRODUCT OF TWO INTEGERS IS 1

A
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26
Q

THEORY: THE ZERO PRODUCT PROPERTY

A

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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27
Q

THE ZERO PRODUCT PROPERTY

A
28
Q

THEORY: THE ZERO PRODUCT PROPERTY

X(X + 10) = 0 ? WHAT IS X?

A

X CAN BE:

1) 0
OR
2) -10

SO BE CAREFUL FOR THIS TRAP

29
Q

QUADRATIC EQUATIONS: FACTORING QUADRATIC EQUATIONS

A

Remember the step here: (3-a) can be rewritten as -(a-3) which then changes the equation

30
Q

QUADRATIC EQUATIONS: FACTORING QUADRATIC EQUATIONS

A
31
Q

QUADRATIC EQUATIONS: FACTORING QUADRATIC EQUATIONS

A
32
Q

QUADRATIC EQUATIONS: FACTORING QUADRATIC EQUATIONS

A
33
Q

QUADRATIC EQUATIONS: FACTORING QUADRATIC EQUATIONS

A
34
Q

QUADRATIC EQUATIONS: FOILING QUADRATIC EQUATIONS

A
35
Q

QUADRATIC EQUATIONS: FOILING QUADRATIC EQUATIONS

A
36
Q

QUADRATIC EQUATIONS: FOILING QUADRATIC EQUATIONS

A
37
Q

QUADRATIC EQUATIONS: THREE QUADRATIC IDENTITIES

A
37
Q

THEORY: QUADRATIC EQUATIONS: THREE QUADRATIC IDENTITIES

A
38
Q

QUADRATIC EQUATIONS: THREE QUADRATIC IDENTITIES

A
39
Q

QUADRATIC EQUATIONS: THREE QUADRATIC IDENTITIES

A
40
Q

QUADRATIC EQUATIONS: THREE QUADRATIC IDENTITIES

A
41
Q

QUADRATIC EQUATIONS: THREE QUADRATIC IDENTITIES

A
42
Q

QUADRATIC EQUATIONS: THREE QUADRATIC IDENTITIES

A
43
Q

THEORY QUADRATIC EQUATIONS: THE DIFFERENCE OF SQUARES

A
44
Q

QUADRATIC EQUATIONS: THE DIFFERENCE OF SQUARES

A
45
Q

QUADRATIC EQUATIONS: THE DIFFERENCE OF SQUARES

A
46
Q

QUADRATIC EQUATIONS: THE DIFFERENCE OF SQUARES

A
47
Q

QUADRATIC EQUATIONS: THE DIFFERENCE OF SQUARES

A
48
Q

QUADRATIC EQUATIONS: THE DIFFERENCE OF SQUARES

A
49
Q

QUADRATIC EQUATIONS: THE DIFFERENCE OF SQUARES

A
50
Q

QUADRATIC EQUATIONS: THE DIFFERENCE OF SQUARES

A
51
Q

QUADRATIC EQUATIONS: THE DIFFERENCE OF SQUARES

A
52
Q

QUADRATIC EQUATIONS: THE DIFFERENCE OF SQUARES

A
53
Q

THEORY QUADRATIC EQUATIONS: ANOTHER WAY TO EXPRESS NEGATIVE 1

A
54
Q

QUADRATIC EQUATIONS: ANOTHER WAY TO EXPRESS NEGATIVE 1

A
55
Q

QUADRATIC EQUATIONS: ANOTHER WAY TO EXPRESS NEGATIVE 1

A
56
Q

QUADRATIC EQUATIONS: ANOTHER WAY TO EXPRESS NEGATIVE 1

A
57
Q

QUADRATIC EQUATIONS: CONSTANT TERMS AND COEFFICIENTS IN QUADRATIC EQUATIONS

A
58
Q

QUADRATIC EQUATIONS: CONSTANT TERMS AND COEFFICIENTS IN QUADRATIC EQUATIONS

A
59
Q

QUADRATIC EQUATIONS: CONSTANT TERMS AND COEFFICIENTS IN QUADRATIC EQUATIONS

A
60
Q

QUADRATIC EQUATIONS: QUADRATIC EQUATIONS THAT RESULT FROM REMOVING FRACTIONS

A

The answer here would be C

61
Q

EQUATION TRAP 1: TWO EQUATIONS APPEAR DIFFERENT BUT THEY ARE ACTUALLY THE SAME

A

The answer here is A

62
Q

EQUATION TRAP 2: ONE EQUATION IS SUFFICIENT TO DETERMINE UNIQUE VALUES FOR TWO VARIABLES

A

The answer here would be A. NB: Use the LCM method here correctly

63
Q

EQUATION TRAP 3: PART OF AN EQUATION CAN BE SUBSTITUTED INTO ANOTHER EQUATION

A
64
Q

EQUATION TRAP 4: THERE IS A QUADRATIC EQUATION PRESENT

A

The answer here is E

65
Q

EQUATION TRAP 5: AN EQUATION HAS THREE OR MORE SOLUTIONS

A
66
Q

EQUATION TRAP 5: AN EQUATION HAS THREE OR MORE SOLUTIONS

A
67
Q

EQUATION TRAP 6: ASSUMING THE VALUE OF A VARIABLE CANNOT BE ZERO

A

Correct answer here would be C