Download Chapter 8 Review #2

Name:__________________________________________Date:______________________Period:_______
Accelerated Algebra I
Chapter 8 Review
I. State whether each ordered pair is a solution of the given equation.
1. 3x  2 y  12
2. 7 x  5 y  3
(-2, 3), (4, 0)
(-1, -2), (-4, -5)
II. Graph each equation.
3. y  3x  4
4. x  2 y  4
5. x  3
6. y  0
III. Find the slope of the line passing through the two given points.
7. (-6, 0), (8, -7)
8. (-5, 7), (8, 7)
9. (9, 5), (9, -5)
_______________
_______________
_______________
IV. Standard Form
8. What is standard form of an equation of a line?____________________________________________
a. Give 3 rules to help remember standard form:
1.________________________________________________________________________
2.________________________________________________________________________
3.________________________________________________________________________
9. Write the following equations in standard form.
a. y  3x  5
b.
1
2
x y 4
2
3
c. 3 y 
1
x6
4
V. Slope-intercept Form
9. What is the slope-intercept form of an equation of a line?_________________________________________
10. Write the following equations in slope-intercept form.
a. 2 x  5 y  15
b. 2 x  4 y  14
11. Find the slope and y-intercept for the following equation: 6 x  24 y  16
m = ______________
b = ________________
VI. Write an equation in slope-intercept form of the line that has the given slope and passes through the
given point.
12. slope -3; (0, -1)
13. slope
5
; (-6, 7)
2
14. slope 0; (2, 
1
)
4
15. slope 
3
; (8, -3)
4
1
16. slope  ; x-intercept 3
3
17. slope undefined; (3, 5)
VII. Write an equation in slope-intercept form of the line passing through the given points.
18. (0, 3), (2, -1)
19. (-3, 4), (3, -4)
20. (-3, -1), (1, -4)
VIII. Write an equation in slope-intercept form for each line described.
21. y-intercept -2, x-intercept 5
22. horizontal line through (3, 5)
23. vertical line through (1, 2)
24. The line that passes through (-3, 4) and is parallel to 2 x  4 y  8
1
25. The line that passes through (4, 5) and is perpendicular to y   x  8
3
IX. Tell whether the graphs of each pair of equations are parallel, perpendicular, or neither.
26.
y  2x  7
27.
3x  6 y  5
y  x  8
28.
x y 4
2x  3y  1
3x  2 y  6
X. Is it a function? Write yes or no and explain why.
28. The graph of x  2
27. A horizontal line
29. {(2, 7), (4, -1), (2, -3)}
XI. Find the range of each function.
30. F (t )  2t  2 , D = {-1, 0, 2}
32. If f  x  
2x
 1 , find:
3
31. g x   x 2  1 , D = {-1, 0, 1}
a. f(3) = _______________
b. f(-3) = ________________
XII. Direct and Inverse Variation
33. y varies directly as x, and y = 72 when x = 3. Find y when x = 2.
34. ( x1 , y1 ) and ( x2 , y 2 ) are ordered pairs of the same inverse variation. Find the missing value.
x1  20, y1  5, x2  ______, y2  50
35. An employee’s wages are directly proportional to the time worked. If an employee earns $60 for 5 h, how
much will the employee earn for 18 h?
36. The number of hours to clean the school varies inversely as the number of workers cleaning. It takes 12
hours for 4 people to clean the school. If 6 people cleaned, how many hours would it take?
37. A rectangle has a length of 12 cm and a width of 4 cm. Find the length of another rectangle of equal area
whose width is 6 cm.
38. The number of words typed is directly proportional to the time spent typing. If a typist can type 275 words
in 5 min, how long will it take the typist to type a 935-word report?