MMA Spring 2012 FINAL REVIEW Name______period______
1. Identify the slope and y-intercept y = y =
2. Identify the rate of change and beginning value x + 3y = -15 2x + 3y = -12
3. Identify the x and y intercepts -5x + y = -10 -2x + 5y = -10
4. Laura’s cell phone plan costs $32 plus $.08 for every minute.
Identify the slope and the y –intercept.______
Identify the independent and dependent variable.______
What is the equation that represents this scenario.______
5. Sean’s gym membership costs $270 for the year plus $ 3.00 for every towel he uses.
Identify the Rate of Change and the Base. ______
Identify the input and output. ______
What is the equation that represents this scenario. ______
6. Sam gets $50 for Mowing the lawn. He wants to buy some (x) t-shirts for the summer. The shirts are $4.50 each he will spend no more than y dollars.
What is the Base______What is the rate______( is it negative or positive)
What symbol means no more than______
What is the equation/inequality that represents this scenario. ______
7. SOLVE FOR Y:
Identify m =______and b=______
and sketch the graph
5x + 3y = -6
What is the slope and the base in this scenario:
8. Julie earns $14.75 an hour pulling weeds.______
Write the equation______
9. Find the function values of the following: 10. Find the function values of the following:
f(x) = -2x - 5 g(s) =
f(½ ) ___ f(-2) f(4) g(0) ______g(-3) g(6)
Find the x and y intercepts and sketch the graph.
11.( , ) ( , ) 2x + 8y = 16
Write and solve the following linear functions.
12. John is paid $350 a month plus a 15% commission on the equipment he sells. If he sells $1200 worth of equipment in a month, how much will he make?
What is the slope______what is the y-intercept______
What is the independent variable______
What is the dependent variable______
Equation: Solution:
13. Jack earns $7.50 an hour at his job. How much will Jack make in a 8-hour work day?
What is the slope______what is the y-intercept______
What is the independent variable______
What is the dependent variable______
Equation: Solution:
Write and graph the following linear functions.
14. Sara has 15 apps on her phone. Each week she buys 2 more.
What is the slope______what is the y-intercept______
What is the independent variable______
What is the dependent variable______
Equation Graph
Write the equation of the lines parallel and perpendicular to the given information.
15. m = ½ (3,1)
Parallel equation: Perpendicular equation: ______
16.
y = -3x + 5 (3,4)
Parallel equation: Perpendicular equation: ______
Find the slope of a line given two points.
17. (0, 2) and (3, 4) 18. (-3, 4) and (5, 1)
Write the equation of the line given the table or graph.
Time(seconds) / Distance
(meters)
0 / 25
4.50 / 75
9.00 / 125
13.50 / 175
19. 20.
______
21. __ 2004 Summer Exit 22. ___
The graph is the solution for which inequality?
23. Your parents say must save at least 85% of your graduation money and the rest you can spend.
24. You want to be in the top of your MMA class you must get no less than an 87% on this test to achieve this goal.
25. y ≥ 2x – 4 26. y ≤ -½x + 5 27. -4x + 2y > 8
Write the system of equations:
28. The length of a rectangle is equal to 5 less than triple the width. Which system of equations can be used to find the dimensions of the rectangle if the perimeter is 85 centimeters?
29. Karen bought some 2 neon fish and 6 angel fish at $6.75 for her new aquarium. Then Karen bought 5 neon fish and 1 angel fish and spent $5.25. Write the system of equations to determine how much she spent on each type of fish.
Solve by graphing: Solve for y.
30. 31.
The solution is where the two lines cross. ( , ) The solution is where the two lines cross. ( , )
Graph the following linear inequalities Hint: dashed or solid Hint: shade above or below
34.
32.
The solution is the commonly shaded region. The solution is the commonly shaded region.
Solve by substitution: HINT: get one variable alone.
35. 36.
x coordinate =______( , )
y coordinate =______
Solve by the elimination method with addition and subtraction.
37. 38.
x coordinate =______( , )
y coordinate =______
List the rules of transformation for each of the following parts of a quadratic equation y = a(x – h) + k
39.
a:______
h: ______
k:______
40. What is the Quadratic parent function:______
List all of the ways the given function is different from the quadratic parent function.
41. f(x) = x2 – 5 42. f(x) = 2(x - 4)2 - 8
Write the new equations given the following changes.
43. If “a” in this quadratic function is f(x) = -2x2 – 4 is increased by 3 what will new equation look like?
44. If “c” in this quadratic function is f(x) = ½ x2 – 4 is changed to 0 what will the new equation look like?
45. Does going from f(x) =x2 – 2 to g(x) =x2 + 5 create a wider parabola or narrower parabola or same size?
46. Does going from f(x) =x2 – 2 to g(x) =x2 + 5 create a wider parabola or narrower parabola or same size?
47. Which function has the widest graph?
(A) (B) (C) (D)
48. Which function has the narrowest graph?
(A) (B) (C) (D)
49. (2005 October Exit) How does the graph of y = 5x2 differ from the graph of y = x2______
50. (2004 10th Grade) How does the graph of y = x2 differ from the graph of y = x2 − 8______
51. What are the zeros of the following equation: ?
52. What are the roots of the following equation: ?
53. Find the solutions of f(x) = x2 – 8x + 15 by using a graph or table in your calculator.
54. Find the root(s), zeros, x-intercepts, solutions from the graph and table below.
x / y0 / 4
1 / 0
2 / -2
3 / -2
4 / 0
6 / 10
Then find the y- intercept, if posssible.
55. 56. 57. 58.
x- intercepts
______
______
y-intercept______x- intercept x- intercepts ______x- intercepts ______
______
y-intercept______y-intercept______
59. Write the GCF.
______ ______ ______3x5 - 12x4 + 6x3 ______
Write the GCF and in Parentheses write what is left.
To check: multiply your answer and see if you get the original problem.
60.______( ) 6x5y2 - 28x3y 3
61.______( )
Factor.
62. x2 + 8x +16 63. x2 – 13x + 40
64. x2 – x – 12 65. x2 + 2x – 48
66. x2 – 25 67. 6x2 + 5x +1
68. If the landing strip at the airport has an area of 9x2 – 121, what is the length and width?
69. The AHS parking lot has an area of x2 + 9x + 20. What is the length and width of the parking lot?
Simplify each radical expression.
70. 71. 72.