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| When graphing y >|x-2| +3 what type of line is used (dotted or solid)? |
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| When graphing y >|x-5| where is the shading? |
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| above the line dotted line |
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| When solving y > |x-5|-5 do you use the word "or" or the word "and"? |
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or
remember "greatOR" and "LessthAND" |
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| m = square root of (16/k) |
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| Which is done first in the equation 3-(4+3)2 |
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| addition within the grouping |
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| Which is done first in PEMDAS? Addition or Subtracting? |
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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. |
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| Describe the graph of |2x-7|>5 on a number line. |
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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. |
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| Describe the graph of |x+6|≤10 on a number line. |
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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. |
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No solution:
The absolute value can not
equal a negative number. |
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4(x+2)=2x-7
4x+8=2x-7
2x+8=-7
2x=-7-8
2x=-15
x= -15/2 |
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| Write the equation to a vertical line that passes through (9,3). |
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5(x-2)+2=3x+5
5(x-2)=3x+3
5x-10=3x+3
2x-10=3
2x=13
x= 13/2 |
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| y varies inversely with x. If y = 10 and x = 2, find the value of y when x = 30 |
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Definition
y=k/x
10=k/2
20=k
y=20/x
y=20/30
y=.66666666--- |
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| y varies directly as the square of x. If y = 27 and x = 3, find the value of y when x = 2 |
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Definition
y=x2k
27=32k
27=9k
3=k
y=x23
y= 223
y=4*3
y=12 |
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| Write the equation to a horizontal line that passes through (5,3). |
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| Write the equation to a line that passes through (2,4) and (5,7). |
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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 |
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| Write the equation to a line that passes through (7,-3) and (-5,1). |
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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) |
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| Write the equation to a line that is perpendicular to y=-2x+5. |
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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 |
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| Write the equation to a line that is parallel to y=-4x+1. |
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As long as the slope is -4.
examples:
y=-4x+2
y=-4x-1
y=-4x+100
y=-4x+anything |
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| y varies inversely as the square of x. If y = 8 and x = 2, find the value of y when x = 5 |
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Definition
y= k / [x2]
8= k / [22]
8= k / 4
32= k
y=32 / [x2]
y=32 / [52]
y= 32/25 |
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x+10=13 OR x+10=-13
x=3 OR x=-23 |
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x+7≥ 5 or x+7≤ -5
x≥ -2 or x≤ -12
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| When graphing y ≥ |x-2| +3 what type of line is used (dotted or solid)? |
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| When graphing y ≤ |x-5| +6 where is the shading? |
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| When solving y ≥ |x-5|-5 do you use the word "or" or the word "and"? |
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OR
remember 'GreatOR' and 'lessthAND' |
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| Solve for s in k√(s-2)=10 |
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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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