Term

Definition


Term

Definition


Term
When graphing y >x2 +3 what type of line is used (dotted or solid)? 

Definition


Term
When graphing y >x5 where is the shading? 

Definition
above the line dotted line 


Term
When solving y > x55 do you use the word "or" or the word "and"? 

Definition
or
remember "greatOR" and "LessthAND" 


Term

Definition


Term

Definition


Term

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 2x7>5 on a number line. 

Definition
2x7>5 OR 2x7 < 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

Definition
No solution:
The absolute value can not
equal a negative number. 


Term

Definition
4(x+2)=2x7
4x+8=2x7
2x+8=7
2x=78
2x=15
x= 15/2 


Term
Write the equation to a vertical line that passes through (9,3). 

Definition


Term

Definition
5(x2)+2=3x+5
5(x2)=3x+3
5x10=3x+3
2x10=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=x^{2}k
27=3^{2}k
27=9k
3=k
y=x^{2}3
y= 2^{2}3
y=4*3
y=12 


Term
Write the equation to a horizontal line that passes through (5,3). 

Definition


Term
Write the equation to a line that passes through (2,4) and (5,7). 

Definition
slope= [74] / [52]
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 yint
y=1x+2 


Term
Write the equation to a line that passes through (7,3) and (5,1). 

Definition
slope= [1(3)] / [57]
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)x5
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=4x1
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 / [x^{2}]
8= k / [2^{2}]
8= k / 4
32= k
y=32 / [x^{2}]
y=32 / [5^{2}]
y= 32/25 


Term

Definition
x+10=13 OR x+10=13
x=3 OR x=23 


Term

Definition
x+7≥ 5 or x+7≤ 5
x≥ 2 or x≤ 12



Term
When graphing y ≥ x2 +3 what type of line is used (dotted or solid)? 

Definition


Term
When graphing y ≤ x5 +6 where is the shading? 

Definition


Term
When solving y ≥ x55 do you use the word "or" or the word "and"? 

Definition
OR
remember 'GreatOR' and 'lessthAND' 


Term
Solve for s in k√(s2)=10 

Definition
k√(s2)=10
√(s2)=10/k
(s2)=10^{2}/k^{2}
s2=100/k^{2}
s = [100/k^{2}] +2


