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Math > Review > Flashcards

Review Flashcards

1
Q

7/5 — 1 2/5
(Improper Fraction to Mixed Number)

A
  • turn fraction into long division and solve
  • the whole number becomes the whole number
  • the remainder becomes the numerator
  • the denominator is what you’re dividing by (doesn’t change)
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2
Q

Dividing Fractions
4/5 divided by 2/3

A

KCF (keep change flip)

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3
Q

Simplifying Fractions

A
  • Find the GCF of N&D
  • Divide both by the GCF
  • If N = 1 it is already simplified
  • If the GCF = 1 it is already simplified
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4
Q

Rounding
(round 839 to the nearest hundred)

A
  • Underline the place value you are rounding to
  • Look next door
  • 5+ round up, 4- round down
  • Round up: Underlined number goes up, rest are zeroes
  • Round down: underlined number stays the same, rest are zeroes
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5
Q

Addition vocab

A
  • addend + addend = Sum
  • AND
  • plus
  • increase
  • combined
  • together
  • longer
  • total
  • both
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6
Q

Subtraction vocab

A
  • ____ - _____ = Difference
  • How many more
  • fewer
  • less than
  • minus
  • remains
  • left
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7
Q

Multiplication vocab

A
  • factor x factor = product
  • each
  • times
  • groups of
  • area
  • twice (x2)
  • triple (x3)
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8
Q

Division vocab

A

*dividend / divisor = quotient
- each
- share
- split
- divided
- separate
- half (/2)

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9
Q

ISSS

A

Identify
Strategize
Set Up
Solve

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10
Q

Steps for Adding and Subtracting Integers

A
  • STOP AND IDENTIFY*
  • A same-same, a CAVOSSC, or a KCF
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11
Q

Adding same same
-4 + -5

A
  • Add
  • Carry over the sign
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12
Q

Adding opposites (positive and a negative)
(-4 + 3)

A

CAVOSSC
- Commute/change the bigger number first
- Absolute value
- Opposites subtract
- Sign check: if the the bigger number was positive, the answer is positive….

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13
Q

Subtracting Integers
- 3 - 6

A

ALL SUBTRACTION STARTS AS KCF
- Keep Change Flip
- It becomes either a same-same or CAVOSSC

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14
Q

Is the answer positive or negative
+ and -
(same-same and CAVOSSC)

A

Same-same: carry it over
CAVOSC: the bigger number carries the sign over

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15
Q

Is the answer negative or positive (multiplication and division)

A

Same sign: ALWAYS POSITIVE
Opposites (one positive, one negative): ALWAY NEGATIVE

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16
Q

Every number has a secret decimal point

A

At the end of the digits
EX: 5 = 5.0
342 = 342.0

17
Q

When do I add a zero in long division

A

When I add a decimal point to the top
(when working with decimals, not fractions)

18
Q

When multiplying/dividing powers of ten
EX : 6.3 X 1000 or 4.5 x 10 to the 5th power

A

One is the magic number that keeps digits the same
How many zeroes is how many spots you move

19
Q

Simplifying With Two Parentheses
ex: (2x - 4) + (8x -1)

A
  1. STOP and notice operations
  2. Change any subtraction to adding a negative
  3. If subtraction is between parentheses, flip to addition and distribute a FLIP to the terms inside
  4. Ignore the parenthese
  5. Combine constants and like terms.
20
Q

Simplifying with Multiplication
ex: 6(4x -5)

A
  1. Distribute the coefficient to all terms inside the parentheses.
  2. Combine constants and like terms.
21
Q

Factoring Expressions
ex: 12x + 48y

A
  1. Find the GCF between the terms
  2. Break down the terms into factor pairs.
  3. Rewrite with the GCF as coefficient, and the terms inside the parentheses.
22
Q

How to Write Decimals as Fractions
ex: 0.57.

A
  • If there is a whole number, it will turn into a mixed number, if zero it will only be a fraction
  • Look and see the place value of the last digit
  • Write that number as the denominator
  • Digits become the numerator
23
Q

How to Write Fractions as Decimals

A

All fractions can be rewritten as division
Divide the numerator by the denominator

24
Q

Unit Rate
ex: 1:5

A

A comparison between two numbers, one of the numbers is 1

25
Q

What is the vocab keyword for a unit rate?

A

Per - another way of saying for each
ex: 5 dollars PER taco, 5 dollars for one taco

26
Q

What is the opposite operation of a coefficient?
ex: 6y

A

A coefficient IS multiplication
the OPPOSite is division

27
Q

How to solve for a variable
(ex: Solve for x: 3x + 8 = 21)

A
  • Get the variable all alone
  • Remove our constants and coefficients by doing opposite operation on BOTH sides of the equal sign to stay balanced
28
Q

Reflecting on a Coordinate Plane

A
  • If you’re reflecting over the X axis, change the Y coordinate to its opposite (x stays the same)
  • If you’re reflecting over the Y axis, change the X coordinate to its opposite (y stays the same)
29
Q

What is a proportional relationship?

A

when two variables are related in the same way through multiplication
- ex: equivalent ratios or fractions (1:3 is proportional to 12:36)

30
Q

Triangle inequality

A
  • Put in order from least to greatest
  • Add the smaller two
  • It CAN form a triangle ONLY if a + b > c
31
Q

Isosceles Triangle

A
  • One isolates side
  • Two sides have the same length, the other is different
32
Q

Equilateral Triangle

A
  • Equal
  • All three sides the same length
33
Q

Scalene Triangle

A
  • No ways to scale it
  • No sides the same length

Math (3 decks)

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