Rules Flashcards
(45 cards)
1
Q
Identity 1: 𝑐𝑎+𝑐𝑏 =
A
=𝑐(𝑎+𝑏)
2
Q
Identity 2: 𝑐𝑎−𝑐𝑏=
A
=𝑐(𝑎−𝑏)
3
Q
Identity 3: (a + b)² =
A
= a² + 2ab + b²
4
Q
Identity 4: (a - b)² =
A
= a² - 2ab + b²
5
Q
Identity 5: a² - b²
A
(𝑎+𝑏)(𝑎−𝑏)
6
Q
Identity 6: (a + b)³ =
A
= a³ + 3a²b + 3ab² + b³
7
Q
Identity 6: (a - b)³ =
A
= a³ - 3a²b + 3ab² - b³
8
Q
A
9
Q
A
10
Q
A
11
Q
A
12
Q
A
13
Q
A
14
Q
A
15
Q
Why is this wrong?
A
Bases aren’t the same
16
Q
Why is this wrong?
A
Because x^a*x^b=x^(a+b)
17
Q
Why is this wrong?
A
it’s not distributed -see identity 3
18
Q
Why is this wrong?
A
Watch the negative sign in parentheses
19
Q
Why is this wrong?
A
Because Identity 5: x² - y²=(x+y)(x−y) signs are opposite
20
Q
Why is this wrong?
A
Needs a Common Denominator.
21
Q
What if rs=0
A
Then r or s is equal to 0 or both
22
Q
Positive × Positive=
A
Positive
23
Q
Negative × Negative=
A
Positive
24
Q
Positive × Negative=
A
Negative
25
Even + Even=
Even
26
Odd + Odd =
Even
27
Even + Odd=
Odd
28
Even × Even=
Even
29
Odd × Odd =
Odd
30
Even × Odd =
Even
31
=a
32
=a
33
34
35
1
36
what do you do with a Negative exponent
37
38
How do you times fractions?
Times the numerators and denominators across
39
How do you Divide fractions?
take the reciprocal of the right value or denominator
40
How do you add and subtract fractions?
You find common denominators
41
When the same constant is added to or subtracted from both sides of an equation...
the equality is preserved and the new equation is equivalent to the original equation.
42
When both sides of an equation are multiplied or divided by the same nonzero constant,
the equality is preserved and the new equation is equivalent to the original equation.
43
When an expression that occurs in an equation is replaced by an equivalent expression,
the equality is preserved and the new equation is equivalent to the original equation.
44
When the same constant is added to or subtracted from both sides of an inequality,
the direction of the inequality is preserved and the new inequality is equivalent to the original.
45
When both sides of the inequality are multiplied or divided by the same nonzero constant,
the direction of the inequality is preserved if the constant is positive but the direction is reversed if the constant is negative. In either case, the new inequality is equivalent to the original.
