2.  The x-intercepts on a graph occur at the
values of x where y = 0.
 To find the x-intercepts from the equation,
let y = 0 and solve.

3. 2
5 24y x x  
2
0 5 24x x  
  0 8 3x x  
 0 8x   0 3x 
8, 3x  
   8, 0 , 3,0

4. 2
5 24y x x  
30
20
10
-10
-20
-30
-5 5 10
 3,0  8, 0

5. 2
42y x x  
2
0 42x x  
  0 7 6x x  
 0 7x   0 6x 
7, 6x  
   7,0 , 6, 0

6. 2
3y x x 
2
0 3x x 
 0 3x x 
0 x  0 3x 
0, 3x  
   0,0 , 3,0

7.  2x 
 5x
If the area of the rectangle
is 8, what is the value of x?
A l w 
  8 2 5x x  
2
8 3 10x x  
2
0 3 18x x  
  0 6 3x x  
6, 3x  
3x 

8.  3x
 7x 
x
If the area of the trapezoid
is 36, what is the value of x?
 1 2
1
2
A b b h 
 
1
36 3 7
2
x x x   
 
1
36 2 10
2
x x 
 36 5x x 
2
36 5x x 
2
0 5 36x x  
  0 9 4x x  
9, 4x  
4x 

9. A rectangular area 6 feet by 9 feet was roped
off for the dunking booth at the spring fling
last year. Due to the popularity of the booth,
student council has decided to double the
area by increasing the length and width by
the same amount each. How much should
the dimensions be increased?

10. 6
9
x
x
 9x
 6x 

11.   6 9 108x x  
2
15 54 108x x  
2
15 54 108
108 108
x x  
 
2
15 54 0x x  
  18 3 0x x  
18, 3x  

12. p. 256 # 42 - 54, 59 - 62, 65 - 70