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## Gwen R.'s Resources

Either (2x+1) is negative        Or        (2x+1) is positive   2x+1<0                                           2x+1>0   2x<-1...

You can distribute or use FOIL (First, Outer, Inner Last)         x + 2         x + 2               2x + 4 x2+2x        x2 +4x +4     answer     (x...

Slope is change in y over change in x. Look at the two points;   P1 has a y-value of  -4 P2 has a y-value of +4   The change in y is 8 units!  Think: what's the difference between -4 and +4?   Or, thing what's the distance on the number...

Intercept is like intersection; the point where streets cross, or where lines cross. The axes are lines also.    The x- intercept is the value of x in the point (x,0)       The y- intercept is the value of y in that point (0,y)   Think about what...

Isosceles right triangle has area 5400 sq ft   Sides are in the ratio 1:1:√2   Let x be the length of a side. The altitude is x√3   5400 =    ½ (x)(x√3)   2700/(√3

Circular Pizza had 14 in diameter or 7 in radius Area = π (7)2   = 153.93 sq in   30.8 sq/in  is how much each of the 5 people get

Use a Venn diagram One circle is labeled cars with automatic transmissions, the other circle is labeled cars with bucket seats. the region common to both circles is called the intersection.   Let x be the number of cars in the intersection   34-x=12 x=22 So...

Let l be the longer leg, then the shortest leg will be l-1 Use the Pythagorean Theorem: the hypotenuse of a right triangle equals the sum of the sides squared   l2  +  (l-1)2   =  (l +1)2    l2   +  l2 - 2l  +1...

Let w be the width Then the length is 3w -13 A +(3w-13)W 56=3w2 -13w 0=3w2 -13w -56 0= (3w +8 )(w-7) w-7 =0      0r          3w +8=0        w=7            ...

Let c be the cost of a cheeseburger, and l be the cost of a cup of lemonade in dollars. 3c+2l =  14     Multiply each term by 2               6c+4l    =  28 2c +4l = 12     Multiply each term by (-3)  ...

x2 +3x -10

Let x be miles driven, and y be cost y1=50 +.25x Rapid Rental cost per mile   y2=45 +.35x Capital cost per mile The cost will be the same when x has what value?   50 +.25x = 45 + .35x .5x = 5 x= 10 If customer drives 10 miles the...

Slope of a line is change in y value over change in x value for ANY two points on the line.   [(13)-1]/[(-15)-(-13)]   numerator is 12, denominator is -2   The fraction is 12/(-2)   We usually find slope is easier to work with if it reduced and...

(18,48.03 and (24,y) will be points on the graph; solve for y   slope = (y1-y2)/(x1-x2)   1.35 = (y-48.03)/(24-18) 8.1=y-48.03 y=56.13 Since values of y represent the HCF, and x values of x represent the cost in dollars, when the family uses 24 HCF, the cost...

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