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| How can an even number be written using algebra? |
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| How can an odd number be written using algebra? |
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| An integer is divisible by three if? |
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| The sum of it's digits is divisible by 3 |
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| How do you write consecutive integers using algebra? |
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| How do you write consecutive even or odd integers using algebra? |
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| The zero is neither positive nor negative, but it is ________? |
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| Name the order of operations: |
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PEMDAS:
Parenthses, Exponents, Multiplication, Division, Addition, Subtraction. |
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| 33.33% can be expressed as? |
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| 66.66% can be expressed as? |
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| Probability is defined as? |
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| # of outcomes/ total possible outcomes |
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| Multiplying or dividing both sides of an inequality by a negative number ? |
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| A straight angle has a measure of? |
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| a + b = 180 Interior angles on the same side of the transversal are supplementary. Another way to look at it is: [image] |
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| Two angles are complementary if ? |
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| Their angle sum is 90 degrees |
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| A triangle with two equal sides is called? |
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| How do you calculate the hight in this type of triangle?
[image] |
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| In a triangle the longer side is ________ and vice versa. |
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| opposite of the larger angle |
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| How do you calculate side a? [image] |
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| What can you say about angle e?
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| e = a + b --> e > a, e > b |
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| Explain the relationship of a 30-60-90 degree triangle? |
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| In radians π equals how many degrees? |
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| The area of a trapezoid is calculated by what formula? |
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| What is the volume and surface of a box? |
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| x is the side of a cube. How do you calculate it's volume and surface? |
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| Volume = x^3 Surface = 6x^2[image] |
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| How do you calculate the volume of a cylinder? |
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| How do you calculate the lateral surface of a cylinder and complete surface? |
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| This line is called a_________.
[image] |
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| The line represents: _______ ?[image] |
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| The line represents a _________. [image] |
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| This line represents a ?[image] |
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| The gray colored area represents a ______.
[image] |
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| How do calculate the area of a circle? |
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| The circumference of a circle is? |
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C = 2πr
circumference = perimeter |
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| Taking the square root of a fraction (less than 1) only makes it _________. |
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| Squaring a fraction (smaller than one) makes it ________. |
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| How you calculate a percentage increase? |
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| % increase = increase / original amount |
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| How can you solve simultaneous equations? |
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| They can most often be solved by adding or subtracting the equations. |
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| What is the total number of elements in this group?
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| The total number will equal the number in one group plus the number in the other group minus the number common to both groups. T = (7+8)+(7+9) - 7 = 24 |
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| How many integers are there between 49 and 101, INCLUSIVE? |
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| (101-49)=52 Because it's inclusive we add one: 53. The number of integers between two integers inclusive is one more than their difference. |
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| You can cancel only over multiplication, not over addition or subtraction. Thus this equation cannot be canceled. |
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| The average speed is calculated by this formula: |
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| Average speed = total distance / t. time |
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| Work = Rate x Time. The amount of work is usually 1 unit hence 1=rate x time |
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| In work problems rate = ? |
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| Interest = Amount x Time x Rate |
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| List prime numbers less than 50: |
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| 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 |
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Zero is considered an ________ number
(a) even (b) odd |
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| Cos 30º = SQRT3/2
[image] |
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| Tan 30º = 1/ SQRT3
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| Cos 45º = 1/SQRT2
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| List the two formulas to calculate the circumference of a circle? |
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How can you combine two inequalities into one? If 3x+y<4 and x>3 which must be true:
(a)y<-5 (b)y<-10 (c)x=y |
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(1) Expression 3x+y<4 -> y<4-3x
(2) Expression x>3 -> (-3)x>(-3)3
turns into -3x<-9 SYMBOL CHANGE.
(3)Add 4 4-3x<-9+4 -> y<4-3x<-5 |
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| We know that x+y = 1 and that x-y = 2 rearrange y+x/y-x to solve. |
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(1) y-x by factoring (-1)y-x = x-y
(2)The negative sign is factored out the bottom and the whole expression reads:
-y+x/x-y
Thus, -y+x/x-y = -1/2 |
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| How do you solve age problems? |
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You create a system of equations like this:
S-7 = 3(K-7) ->"Age of S & N 7 years ago"
S = K + 5 ->"Age of S & N today"
And solve the system. |
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| An integer is divisible by 4 if? |
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| Its two last digits are divisible by 4 |
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| An integer is divisible by 6 if? |
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| It's divisible by 2 and 3 |
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| An integer is divisible by 9 if ? |
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| It's digits sum to a multiple of 9 |
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| How do you find the n-th term on a geometric sequence? *IE 2,4,8... has a ratio of 2 (4x2, 8x2) |
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| How do you calculate % increase or decrease? |
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| How do you calculate the average speed? |
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| How do you multiply powers? |
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| How do you raise the power to a power? |
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| How do you simplify a radical? |
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| What do you need in order to add or subtract radicals? |
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| What do you do in order to multiply or divide radicals? |
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| A right triangle always has to have a ? |
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| 90 degree angle (right angle) |
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What is a pythagorean triplet? How is this useful? |
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| A triangle with sides 3:4:5. If you have a triangle with multiples of 3:4:5 you can determine the lenght without having to perform the formula. |
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| How do you measure an arc? |
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