Test Ch. 0 Flashcards

1
Q
A
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2
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3
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4
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5
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6
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7
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8
Q

Area of triangle

A
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9
Q

Area of rectangle or square

A

length * width

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10
Q

perimeter of square, rectangle, triangle

A

add all sides

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11
Q

Find the perimeter and area of a figure when given points A (x,y) B (x,y)

A

1) Draw points and figure out what shape it is

2) Find the distance between A-B and B-C, A-C, etc.

3) Use formula for area

4) add all sides to find perimeter

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12
Q

Find distance of a straight line

A

subtract, answer always positive

horizontal line: subtract x2-x1
Vertical line : y2-y1

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13
Q

Find distance of a diagonal

A

Distance formula

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14
Q

Distance formula

A
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15
Q

Find the center of a circle (h, k) using endpoints

A

Find the midpoint

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16
Q

Equation of a circle in standard form

A
17
Q

When adding or subtracting fractions

A

Find the common denominator on all sides. Figure out one side first, then the other

side 1 = side 2

18
Q

Find a general form of an equation passing through (a,b) and (b,c)

A

1) find the slope

2) write in point-slope or slope-intercept form

3) Solve

4) arrange in form ax + by+ c = 0

19
Q

Slope formula

A

Rise/run

20
Q

point-slope form

A
21
Q

Slope-intercept form

A

y= mx + b

22
Q

Parallel lines

A

same slope

23
Q

Perpendicular lines

A

opposite inverse slope

24
Q

Complete the square steps

A

1) Start with a quadratic equation
2) Move C to the right side
3) Add (b/2)^2 to both sides
4) Factor the left side (left = right)
hint: It will always be (x+/- (b/2)^2
5) Solve the right side
6) Take the square root of both sides
7) Solve for x

25
Q

Square root of a negative

A
26
Q

Quadratic formula

A
27
Q

Solve an inequality with ax+c in the middle

A

Add/subtract c from the right and left side to leave x in the middle alone

solve

28
Q

Solve absolute value inequalities

A

2 equations: one for + and one for -

Test to see which answer is true

29
Q

Add complex numbers
(a+bi) + (c+di)

A
30
Q

Subtract complex numbers
(a+bi) - (c+di)

A
31
Q

Multiply complex numbers

A
32
Q

Divide complex numbers

A
33
Q

Solve system of equations algebraically

A

1) Elimination method between equations 1 and 2

   -- Get new equation 2
   -- equation 1 stays the same #2) Elimination method between equations 1 and 3
        ---Get  new equation 3
        -- equation 1 stays the same #3) Elimination method between your new equation 2 and new equation 3
34
Q

When solving inequalities

A

Write the interval notation

(3, 4)

(3,4) u ( 7, 10)

35
Q

Sign test for inequality equations

A

plot the solutions on the x line

If you are looking for a solution <0 , then choose the intervals when the solution is negative

If greater than 0, choose the interval where it’s positive

35
Q

Sign test for inequality equations
when joined

A

Plot your solutions in line

  • if your answer needs to be less than 0, it is negative, so you need to choose only the intervals where the function is negative