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GRE Basic Math > GRE Basic Math > Flashcards

GRE Basic Math Flashcards

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1
Q

What does “and” mean in a word problem?

A

ADDITION

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2
Q

What does “removed/left” mean in a word problem?

A

SUBTRACTION

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3
Q

What does “of” mean in a word problem?

A

MULTIPLICATION

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4
Q

Negative - Positive = ?

A

Negative + -Positive = Negative #

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5
Q

Positive - Negative = ?

A

Cancels –> Add Positives

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6
Q

LCD for converting unlike fractions

A

Find the least common dem. of each fraction presented

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7
Q

Adding Fractions

A

Add straight across if LCD

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8
Q

Subtracting Fractions

A

Subtract straight across if LCD

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9
Q

Multiplying Fractions

A

Cross multiply for any cancellations, then just multiply straight across! Don’t need LCD.

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10
Q

True or False: A ratio is the same thing as a fraction.

A

TRUE!

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11
Q

Multiplying Exponents

A

Add exponents together if the base is the same

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12
Q

Dividing Exponents

A

Subtract exponents if the base is the same

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13
Q

6 (0) exponent = ?

A

1

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14
Q

6 (1) exponent = ?

A

6

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15
Q

What is a square root?

A

A whole number multiplied by itself –> SR of 16 = 4 because 4 X 4 = 16

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16
Q

Adding or Subtracting Square Roots

A

Only with equal base #s

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17
Q

Multiplying or Dividing Square Roots

A

Multiply or Divide straight across

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18
Q

Simplifying Square Roots

A

Break down the base # into numbers that have whole square roots –> SR80 can be broken down into SR4 (which is 2) X SR 20, and simply on down from there.

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19
Q

s with Fractions as Exponents

A

Base # X the numerator, then take the Square Root of the denom.

20
Q

Fractions as Exponents quickies…

A 
1/2 = square root of the base #
1/3 = cube root of the base #
21
Q

Mean

A

Average = sum of #/total of all #s

22
Q

Mode

A

The middle # in a set of numbers listed from highest to lowest

23
Q

Mode

A

The # that occurs most often in a series

24
Q

What does “absolutely value” mean?

A

The # is ALWAYS positive!

25
Q

Can you take the Square Root of a Negative #?

A

NO!

26
Q

How do you “cancel” the X in an equation?

A

Apply the opposite operation

27
Q

When solving algebraic equations, remember to “combine like….”

A

Terms

28
Q

Algebra –> Substitution means…

A

Plug it in like a lightbulb!

29
Q

Algebra –> How do you treat inequalities?

A

Just like a normal equation with an = sign

30
Q

Algebra –> Reverse the equality sign to make a fraction positive when you…

A

Divide by a negative #

31
Q

Monomials –> You can perform the operation on #s when the variables & exponents are…

A

The same!

32
Q

When do you combine coefficients and variables?

A

When you multiple 2 or more monomials

33
Q

When you divide polynomials, you ___ the coefficients and ___ the exponents…

A

Divide the coefficients and subtract the exponents

34
Q

Multiplying Binomials –> FOIL

A

First, Outer, Inner, Last (then combine like terms)

35
Q

How do you FACTOR MONomials?

A

Find the largest common monomial and take it out of each section –> 6y(2z + x)

36
Q

How do you FACTOR TRInomials?

A

What numbers multiply to the last number, and add to the middle number?
(x +/- #)(x +/- #)
Check each factor with both +/- options to see which one is correct
Reverse FOIL to check your answers
(x-2)(x-3)

37
Q

How do you solve quadratic equations?

Ones = 0

A

Find their factors, set each factor to 0, and solve –> you should have TWO DIFFERENT solutions!

38
Q

Solving an Algebraic equation with fractions –> what do you do?

A
  1. Multiply the num. by a common factor
  2. Divide the coefficients to get a new eq.
  3. Solve for x
39
Q

When you feel doubtful about solving an algebraic equation…

A

Isolate x and solve

40
Q

Equation - Distance Between 2 points

A

AB = SR of (Xa - Xb)^2 + (Ya - Yb)^2

41
Q

Equation - Midpoint of a line

A

(Xa + Xb), (Ya + Yb) all divided by 2

42
Q

Equation - Slope of a line

A

m = Yb - Ya / Xb - Xa

43
Q

Equation of a line (can also be used to find y-intercept)

A

Y = mx + b

44
Q

How do you solve a basic function problem?

A

Substitute the # given

45
Q

Trick for solving f(x-4) tricky functions?

A

Use FOIL

GRE Basic Math (1 decks)

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