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SAT > Arithmetic and Algebra > Flashcards

Arithmetic and Algebra Flashcards

1
Q

π‘›π‘Ž Γ— 𝑛𝑏 =

A

π‘›π‘Ž+𝑏

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2
Q
A

π‘›π‘Žβˆ’π‘

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3
Q

(π‘›π‘Ž)𝑏 =

A

π‘›π‘ŽΓ—π‘

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4
Q

π‘›βˆ’π‘Ž =

A
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5
Q
A
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6
Q

𝑛1 =

A

𝑛

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7
Q

𝑛0 =

A

1

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8
Q

π‘‰π‘Žπ‘™π‘’π‘’ =

use Principal, Rate %, and Time

A

π‘‰π‘Žπ‘™π‘’π‘’ = π‘ƒπ‘Ÿπ‘–π‘›π‘π‘–π‘π‘Žπ‘™ Γ— (1 Β± π‘…π‘Žπ‘‘π‘’)π‘‡π‘–π‘šπ‘’

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9
Q

π‘‰π‘Žπ‘™π‘’π‘’ =

Use Principal, Rate, Period, and Time

A

π‘‰π‘Žπ‘™π‘’π‘’ = π‘ƒπ‘Ÿπ‘–π‘›π‘π‘–π‘π‘Žπ‘™ Γ— (1 Β± [π‘…π‘Žπ‘‘π‘’/π‘ƒπ‘’π‘Ÿπ‘–π‘œπ‘‘] )π‘‡π‘–π‘šπ‘’Γ—π‘ƒπ‘’π‘Ÿπ‘–π‘œπ‘‘

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10
Q

π‘Ÿπ‘Žπ‘‘π‘’ =

Use Distance and Time

A

π‘Ÿπ‘Žπ‘‘π‘’ = π‘‘π‘–π‘ π‘‘π‘Žπ‘›π‘π‘’/π‘‘π‘–π‘šπ‘’

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11
Q

π‘ƒπ‘’π‘Ÿπ‘π‘’π‘›π‘‘ =

Use Part and Whole

A

π‘ƒπ‘’π‘Ÿπ‘π‘’π‘›π‘‘ = (π‘ƒπ‘Žπ‘Ÿπ‘‘/π‘Šβ„Žπ‘œπ‘™π‘’) Γ— 100%

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12
Q

π‘ƒπ‘’π‘Ÿπ‘π‘’π‘›π‘‘ πΆβ„Žπ‘Žπ‘›π‘”π‘’ =

Use New and Old

A

π‘ƒπ‘’π‘Ÿπ‘π‘’π‘›π‘‘ πΆβ„Žπ‘Žπ‘›π‘”π‘’ = (π‘π‘’π‘€βˆ’π‘‚π‘™π‘‘)/𝑂𝑙𝑑

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13
Q

𝑃(𝐴) =

A
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14
Q

𝑃(𝐴 π‘Žπ‘›π‘‘ 𝐡) =

A

𝑃(𝐴 π‘Žπ‘›π‘‘ 𝐡) = 𝑃(𝐴) Γ— 𝑃(𝐡)

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15
Q

𝑃(𝐴 π‘œπ‘Ÿ 𝐡) =

A

𝑃(𝐴 π‘œπ‘Ÿ 𝐡) = 𝑃(𝐴) + 𝑃(𝐡)

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16
Q

𝑃(π‘›π‘œπ‘‘ 𝐴) =

A

𝑃(π‘›π‘œπ‘‘ 𝐴) = 1 βˆ’ 𝑃(𝐴)

17
Q

𝑖 =

A
18
Q

𝑖2 =

A

𝑖2 = βˆ’ 1

19
Q

𝑖3 =

A
20
Q

𝑖4 =

A

𝑖4 = 1

21
Q

Remove 𝑖 from denominator with conjugate:

A
22
Q
A
23
Q

Vert. Shift:

A

𝑓(π‘₯) + 𝑐

24
Q

Horiz. Shift:

A

𝑓(π‘₯ βˆ’ 𝑐)

25
Q

Vert. Flip:

A

βˆ’ 𝑓(π‘₯)

26
Q

Horiz. Flip:

A

𝑓(βˆ’ π‘₯)

27
Q

Slope-Intercept:

A

𝑦 = π‘šπ‘₯ + 𝑏

π‘š = slope and 𝑏 = y-intercept

28
Q

Point-Slope:

A

𝑦 βˆ’ 𝑦1 = π‘š(π‘₯ βˆ’ π‘₯1)

29
Q

Quadratic f(x) =

A

π‘Žπ‘₯2 + 𝑏π‘₯ + 𝑐

30
Q

π‘‰π‘’π‘Ÿπ‘‘π‘’π‘₯ =

A
31
Q

𝑦-intercept =

A

𝑐

32
Q

π‘₯-intercepts =

A
33
Q

Discriminant =

A

𝑏2 βˆ’ 4π‘Žπ‘

  • negative: no solutions,
  • positive: two solutions,
  • zero: one solution
34
Q

Factored: 𝑓(π‘₯) =

A

𝑓(π‘₯) = (π‘₯ βˆ’ 𝑝)(π‘₯ βˆ’ π‘ž)

35
Q

Factored: π‘₯-intercepts are…

A

π‘₯-intercepts are 𝑝 and π‘ž

36
Q

Factored: Vertex =

A

π‘Ž(π‘₯ βˆ’ β„Ž)2 + π‘˜

Vertex = (β„Ž, π‘˜)

  • If π‘Ž > 0, upward;
  • if π‘Ž < 0, downward
37
Q
A

SAT (3 decks)

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