REVIEW FOR FALL FINAL –It’s to your benefit to complete this review for your final.
1. What is the slope of the line? (Find two good points and use rise/run)
2. What is the y-intercept of the line graphed in # 1?
3. Find the slope of the line through the points (-3, 5) and (-1, 2)
m=
y2 - y1
x2 - x1
4. What kind of slope does the line represent?
5. Write the equation of the line in slope-intercept that passes through the point (-3, 2) and has a slope of 1?
6. Write the equation of a line in slope intercept form that passes through the points (-1, 4) and (3, 6).
7. SOLVE: 3(x + 2) = 2(2x – 1) – 12
8. A survey showed that 2 out of every 5 voters would vote in an election. Based on this survey, how many people
would vote in a city with 20,000 voters? (set up proportion)
9.
10.
11. Write the equation that contains these sets of x and y values (use the STAT function in calculator to find equation)
12. Find the slope of the line whose equation is 2x + y = 5 (Convert to y = mx + b , first)
13. Change the equation 5x – 2y = 8 to slope intercept form
14. Find the y-intercept of the line whose equation is -2x + 2y = 4
15. What type of lines would make up a system with no solution?
16. What is the value for x in the following system of equations: x – y = 6
2x + y = 0
17. Find the solution to the system (use any method you want) y + 2x = 4
3y – 2x = -12
18. Find the equation of the line (you need to find y-intercept and slope)
19. Solve by elimination.
5x – 9y = -3
4x – 3y = 6
20. Solve and graph the inequality
y > -3x + 1
solution______________
(Don’t forget to shade the TRUE part)
 b  b2  4ac
21. Find the solution(s) of the quadratic using the Quadratic Formula x 
2a
6x2 – 5x – 2 = 0
22. Describe the change in the graph y = -5x when the equation is changed to y = -5x – 4.
23. Which point is in the solution area of this system of inequalities?
y < 2x + 3
y < -x + 1
A.
B.
C.
D.
(1, 2)
(-1, 4)
(2, 1)
(1, -2)
24. Factor the quadratic ( ) ( )
x2 - 12x + 35
25. FOIL the two binomials (Make sure you combine like terms)
( x + 1) (x – 4)
Describe the change in y = x2 for each equation (e.g. up, down, left, right, flipped, got wider or narrawer). Type them in
the calculator using the y =
26. y 
1 2
x
3
27. y  5x
30. y  ( x  1)  8
2
2
2
31. y  ( x  3)  5
28.
y  x 2  9
32. y  ( x  6)  2
2
29. y  x  5
2
33. FOIL (x – 6)(x + 6)
34. What are the solutions of the quadratic function? (the solutions are where the graph crosses the X – AXIS)
35. A cannonball is shot into the air with a velocity of 60 ft/sec. At what time will the cannonball first reach a
height of 36 feet, using the equation below? (Type the equation in the y =. After that go to the table, and find
where y = 36…look to corresponding x value)
h = -16t2 + 60t
A.
B.
C.
D.
.75 sec.
2 sec.
3 sec.
4 sec.
36. What is the slope of a line that is parallel to 6x + 3y = -12 (Slopes of parallel lines are the SAME)
37. What is the slope of a line that is perpendicular to 6x + 3y = -12 (Slopes of perpendicular lines are FLIP the
fraction and change the sign)
38. Netpix charges $1 per movie plus a $20 sign up fee. L.A. Videos charges $3 per movie but no enrollment fees. Write
a system of equations that could be used to find the number of movies a person could rent and be charged the
same from either company.
39. A carpenter recorded the amount of money he earned for different jobs and the amount of time he spent on each
job. The data are shown in the scatterplot below:
Based on the data, which best represents the amount of money the carpenter would earn from a job that took 5 days
to complete?
A $2500
B $500
40. Solve this system by graphing.
C $1250
D $200
3x  2 y  2

2 x  y  6
41.Tell whether the ordered pair (2, -2) is a solution of the system
3x  4 y  14

2 x  5 y  12
42.The system of inequalities below was graphed in the window shown. Are the following points solutions to the system?
A.
B.
C.
D.
(4, 10)
(-3, 12)
(9, 5)
(-4, 5)