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Math Flashcards

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SAT® Prep flashcards
1
Q

Integers

A

Negative and Positive Counting Number + zero

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2
Q

Radicals

A

Radicals are fractions, that is, anything expressible as a ratio of integers

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3
Q

Distance is equal to

A

Rate x Time

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4
Q

Speed is mathematically defined as

A

Speed is distance divided by time.

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5
Q

Speed is equal to ?

A

Speed is distance divided by time.

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6
Q

Mixed Number to Improper Fraction
4
—3
2

A

1.Multiply the Denominator by the Whole number 2x3=6
2. Add the answer from step 1 to the numerator 6+4=10
3. Write Answer from step 2 over the denominator. 10/2
10
—–
2

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7
Q

A Ratio says?

A

how much of one thing there is compared to another thing.

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8
Q

Ratios can be shown in different ways. In what ways are they shown?

A

3:1, or 3 to 1 or
3
—
1

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9
Q

A ratio can be scaled

A

up or down.

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10
Q

When shapes are in proportion what are their relative sizes?

A

Their relative sizes are the same

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11
Q

What is the Percent Formula?

A

Part
______ =
Whole

Percent
______
100

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12
Q

A ratio and percent are the

A

same

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13
Q

We can use proportions to solve questions involving _______.

A

1.Percents

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14
Q

Standard form of a quadratic equation is

A

Standard form of a quadratic equation is ax²+bx+c=0

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15
Q

What is the Quadratic Formula?

A

–b±√b²–4ac
――――――――――
2a

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16
Q

A Quadratic expression must be isolated on one side of the equation. Which means?

A

One side must only contain zero.

ax²+bx+c=0

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17
Q

When a Sequence goes on forever what is it called?

A

It is called an infinite sequence, otherwise it is a finite sequence.

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18
Q

What is the Arithmetic Sequence Formula?

A 
a(n) = a¹ + (n-1)d
a(n) = the term you want to find.
a¹ = first term in the sequence
n = the term position (ex. for 5th term n = 5) 
d = common difference of any pair of consecutive or adjacent numbers.
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19
Q

How do you multiply a fraction by a whole number?

A
  1. Write the whole number as a fraction with a denominator of 1
  2. Multiply the numerators
  3. Multiply the denominators
  4. Simplify, if needed.
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20
Q

Straight lines are equal to

A

180°

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21
Q

Right angles are equal to

A

90°

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22
Q

A circle is how many degrees?

A

360° degrees

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23
Q

Obtuse Angles measure more than

A

90° degrees.

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24
Q

Acute Angles measure less than

A

90° degrees.

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25
Q

What are supplementary angles?

A

Supplementary Angles are two Angles with a sum of 180°.

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26
Q

What are Complementary angles?

A

Complementary angles are two angles whose measure add up to 90°.

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27
Q

What are vertical angles?

A

Vertical angles are a pair of opposite angles formed by intersecting lines.

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28
Q

What is a linear pair?

A

A linear pair is a pair of adjacent angles formed when two lines intersect.

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29
Q

What does “≈” mean?

A

≈ means approximately equal to.

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30
Q

A point is said to be equidistant from a set of objects if?

A

the distance between that point and each object in the set are equal.

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31
Q

What is the Pythagorean theorem?

A

a² + b² = c²

example: 3² + 4² = C²
9 + 16 = C²
25 = C²
5=C

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32
Q

Two figures or objects are congruent if they have

A

the same shape and size.

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33
Q

Are mean and average the same?

A

Yes

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34
Q

What is a quadrilateral?

A

A quadrilateral is a polygon in euclidean plane geometry with four edges and four vertices.

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35
Q

A rectangle is an

A

quadrilateral with four right angles.

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36
Q

A rhombus is a

A

A rhombus is a quadrilateral whose four sides all have the same length.

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37
Q

A Hexagon has how many angles and sides?

A

A Hexagon has 6 angles and 6 sides.

38
Q

A Hexagon is equal to how many degrees?

A

720°

39
Q

A Pentagon has how many angles and sides?

A

5 angles and 5 sides

40
Q

A Pentagon is how many degrees?

A

A Pentagon is 540° degrees.

41
Q

An Octagon has how many angles and sides?

A

8 angles and 8 sides

42
Q

An Octagon is how many degrees?

A

An Octagon is equal to 1080°

43
Q

What does Equilateral mean?

A

Equilateral means having all its sides of the same length.

44
Q

Edges are the line segments where

A

two faces intersect.

45
Q

Vertices are?

A

the point where edges meet.

46
Q

When coordinating count

A

the numbers or lines.

47
Q

Formula for the volume of a sphere is

A

The Volume of a Sphere is:
4
─πr³ or
3

1
─πd³
6

48
Q

What happens when you reflect a point across the y-axis?

example: 2,5

A

When you reflect a point across the y-axis, multiply its x-coordinate by -1 and leave the y-coordinate as it is.
-2,5

49
Q

What is a Scalene triangle?

A

A Scalene triangle is a triangle where all three sides have different length measures.

50
Q

The perimeter of a triangle is?

A

a + b + c

51
Q

What is the area of a kite?

A

The area of a kite is given by 1/2 multiplied by its length multiplied by its width.

52
Q

What is SOH?

A

Opposite
__________ = sin 0
Hypotenuse

53
Q

What is CAH?

A

Adjacent
__________ = cos 0
Hypotenuse

54
Q

What is TOA?

A

Opposite
________ = tan 0
Adjacent

55
Q

What is rate equal to?

A

Rate is equal to
Distance
──────
Time

56
Q

What is time equal to?

A

Time is equal to

Distance
──────
Rate

57
Q

What is the distance formula?

A

Distance formula = √[(x – x )² + ( y – y )²]

58
Q

What is percent?

A

Percent is part/whole x 100%

59
Q

What does the “%” mean?

A

”%” means divide by 100

60
Q

What is Average (mean)?

A

average (mean) = sum of terms / number of terms

61
Q

What is Median?

A

middle number (or average of 2 numbers)

62
Q

What is Mode?

A

most common number

63
Q

What is Range?

A

biggest – smallest

64
Q

What is probability?

A

number of desired items / total number of terms

65
Q

How do you find the probability of an event?

A

P(event happens) + P(event doesn’t happen) = 1

66
Q

What is the slope-intercept formula?

A

y=mx+b

m=slope
b= y intercept

67
Q

What is Slope?

A

(y2−y1)
────
(x2−x1)

68
Q

What is the midpoint formula?

A

Midpoint Formula = [(x1 + x2)/2, (y1 + y2)/2]

69
Q

What does FOIL stand for?

A

F: First
O: Outer
I: Inner
L: Last

70
Q

What is the area of a trapezoid?

A

average of bases x height = (b1 + b2)/2 x height

71
Q

What is perimeter?

A

sum of all sides

72
Q

Area of a rectangle?

A

width x length

73
Q

Area of a parallelogram

A

Area of a parallelogram is base x height

74
Q

What is the area of a circle?

A

πr²

75
Q

What is the circumference of a circle?

A

2πr

76
Q

What is the diameter of a circle?

A

2r

77
Q

Probability of two independent outcomes both happening is?

A

Probability of two independent outcomes both happening is Probability‌ of event‌ A * probability‌ of‌ event B

78
Q

Possible combinations =

A

number of element A * number of element B * number of element C….

79
Q

What is the volume of a rectangular solid?

A

Volume = lwh

80
Q

What is an Isosceles Triangle?

A

♡ An isosceles triangle has two sides that are equal in length and two equal angles opposite those sides.

♡ An isosceles right triangle always has a 90 degree angle and two 45 degree angles.

♡The side lengths are determined by the formula: x, x, x√2, with the hypotenuse (side opposite 90 degrees) having a length of one of the smaller sides * √2.
E.g., (An isosceles right triangle may have side lengths of 12, 12, and 12√2.)

81
Q

What is the circumference of a circle?

A

Circumference = 2πr or Circumference = πd

82
Q

How do you find the Circumference of an arc?

A

Circumference of an arc = (2πr)( degree measure center of arc
Arc
─── )
360

83
Q

What is the volume of a Cylinder?

A

Cylinder Volume=πr²h

84
Q

Sin² Θ Cos² Θ = ?

A

Sin² Θ Cos² Θ = 1

85
Q

Sin Θ
──── = ?
Cos Θ

A

Tan Θ

86
Q

√a√a = ?

A

√a√a = a

87
Q

a√b x a√b = ?

A

a√b x a√b = a² x b

88
Q

√a⋅b = ?

A

√a⋅b = √a√b

89
Q

√a
﹉ = ?
b

A

√a √a
── = ──
b √b

90
Q

What is the Area of a Rectangular Prism?

A

The area of a rectangular prism is 2(wl + hl + hw)

Math ACT (3 decks)

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