# Shared Flashcard Set

## Details

FLVS Algebra Two [Module ONE]
FLVS algebra Two [Module One]
30
Mathematics
12/04/2010

## Additional Mathematics Flashcards

Term
 solve |x-2| =3
Definition
 x=5 or x=-1
Term
 solve |x-4| < 8
Definition
 x<12 and x>-4
Term
 When graphing y >|x-2| +3 what type of line is used (dotted or solid)?
Definition
 dotted
Term
 When graphing y >|x-5| where is the shading?
Definition
 above the line dotted line
Term
 When solving y > |x-5|-5 do you use the word "or" or the word "and"?
Definition
 or remember "greatOR" and "LessthAND"
Term
 Solve for t in 3m+t=4
Definition
 t= 4-3m
Term
 Solve for t in m-5t=4
Definition
 t= (4-m) / 5
Term
 Solve for m in km2=16
Definition
 m = square root of (16/k)
Term
 Which is done first in the equation 3-(4+3)2
Definition
 addition within the grouping
Term
 Which is done first in PEMDAS? Addition or Subtracting?
Definition
 It depends- they are done at the time as they appear from left to right.   example: 3 - 4 + 5 Do 3 minus 4 first. Final answer is 4.
Term
 Describe the graph of |2x-7|>5 on a number line.
Definition
 2x-7>5 OR 2x-7 < -5 So... x>6 OR x<1 The  graph is an open circle on 6 with an arrow headed right, and an open circle on 1 with an arrow headed left.
Term
 Describe the graph of |x+6|≤10 on a number line.
Definition
 x+6≤10  and x+6≥-10 so... x≤4 and x≥-16 The graph is an closed circle on 4 and closed circle on -16 with a line running between them.
Term
 Solve |x+2|= -3
Definition
 No solution: The absolute value can not equal a negative number.
Term
 Solve 4(x+2)=2x-7
Definition
 4(x+2)=2x-7 4x+8=2x-7 2x+8=-7 2x=-7-8 2x=-15 x= -15/2
Term
 Write the equation to a vertical line that passes through (9,3).
Definition
 x=9
Term
 Solve 5(x-2)+2=3x+5
Definition
 5(x-2)+2=3x+5 5(x-2)=3x+3 5x-10=3x+3 2x-10=3 2x=13 x= 13/2
Term
 y varies inversely with x. If y = 10 and x = 2, find the value of y when x = 30
Definition
 y=k/x 10=k/2 20=k y=20/x y=20/30 y=.66666666---
Term
 y varies directly as the square of x. If y = 27 and x = 3, find the value of y when x = 2
Definition
 y=x2k 27=32k 27=9k 3=k  y=x23 y= 223 y=4*3 y=12
Term
 Write the equation to a horizontal line that passes through (5,3).
Definition
 y=3
Term
 Write the equation to a line that passes through (2,4) and (5,7).
Definition
 slope= [7-4] / [5-2] 3/3 equals 1 y=mx+b y=1x+b Pick either point , it does not matter. 4=1(2)+b 4=2+b 2=b so... y=mx+b keep the x and y, plug in slope and y-int y=1x+2
Term
 Write the equation to a line that passes through (7,-3) and (-5,1).
Definition
 slope= [1-(-3)] / [-5-7] which is 4/-12 or -1/3 y=(-1/3)x+b Use either point- I like (-5,1) 1=(-1/3)(-5)+b 1=+5/3+b 1-(5/3)=b -2/3=b Plug in m and b but keep x and y. y=(-1/3)x+(-2/3)
Term
 Write the equation to a line that is perpendicular to y=-2x+5.
Definition
 As long as the slope is +1/2 examples: y=(1/2)x+5  y=(1/2)x-5 y=(1/2)x+100 y=(1/2)x+anything
Term
 Write the equation to a line that is parallel to y=-4x+1.
Definition
 As long as the slope is -4. examples: y=-4x+2 y=-4x-1 y=-4x+100 y=-4x+anything
Term
 y varies inversely as the square of x. If y = 8 and x = 2, find the value of y when x = 5
Definition
 y= k / [x2]  8= k /  8= k / 4 32= k y=32 / [x2]  y=32 /  y= 32/25
Term
 solve |x+10| = 13
Definition
 x+10=13  OR x+10=-13 x=3  OR  x=-23
Term
 solve |x+7| ≥ 5
Definition
 x+7≥ 5 or x+7≤ -5  x≥ -2 or x≤ -12
Term
 When graphing y ≥ |x-2| +3 what type of line is used (dotted or solid)?
Definition
 Solid
Term
 When graphing y ≤ |x-5| +6  where is the shading?
Definition
 below the solid line
Term
 When solving y ≥ |x-5|-5 do you use the word "or" or the word "and"?
Definition
 OR remember 'GreatOR' and 'lessthAND'
Term
 Solve for s in k√(s-2)=10
Definition
 k√(s-2)=10 √(s-2)=10/k (s-2)=102/k2 s-2=100/k2  s = [100/k2] +2
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