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8th 1st Semester Final

Short Answer - spelling must be correct to get credit.
 

 1. 
If an equation, when graphed, forms a straight line, the line is referred to as being ____.
 

 2. 
Is there a y-intercept in an inverse variation equation? (yes or no)
 

 3. 
If you have a table that shows a decrease in width of an object as length increases 1-inch, the pattern be called ____ of change.
 

 4. 
What does the ‘t’ in the equations d=st, or t=d÷s, or s=d÷t represent?
 

 5. 
In the formula y=mx+b, what does the b represent, slope or y-intercept?
 

 6. 
What type of equation does d=st, or t=d÷s, or s=d÷t represent? linear or inverse variation?
 

 7. 
If you have a rectangle with dimensions equaling 48 sq. inches, and one side is 6 inches, what is the other side in inches?  (answer = “__“ inches)
 

 8. 
What does the ‘d’ in the equations d=st, or t=d÷s, or s=d÷t represent?
 

 9. 
In the formula y=mx+b, what does the m represent? slope or y-intercept?
 

 10. 
What does the ‘s’ in the equations d=st, or t=d÷s, or s=d÷t represent?
 

 11. 
When using an inverse variable equation, will the graph be linear or non-linear?
 

 12. 
If an equation, when graphed, forms a curved line, the line is referred to as being ____.
 

Multiple Choice
Identify the choice that best completes the statement or answers the question.
 
 
Solve the equation.  Show all work and all steps on extra paper for problems 13 to 24.  Points will be deducted if work is not shown.
 

 13. 
mc013-1.jpg
a.
8,000
b.
20
c.
380
d.
420
 

 14. 
mc014-1.jpg
a.
mc014-2.jpg
b.
17
c.
–23
d.
60
 

 15. 
mc015-1.jpg
a.
–3
b.
16
c.
18
d.
–16
 

 16. 
mc016-1.jpg
a.
–27
b.
27
c.
21
d.
–21
 

 17. 
mc017-1.jpg
a.
–2
b.
8
c.
18
d.
6
 

 18. 
mc018-1.jpg
a.
51
b.
20
c.
0
d.
–9
 

 19. 
mc019-1.jpg
a.
11
b.
33
c.
–33
d.
–11
 

 20. 
mc020-1.jpg
a.
1
b.
3
c.
–3
d.
4
 

 21. 
mc021-1.jpg
a.
–4
b.
28
c.
3
d.
11
 

 22. 
mc022-1.jpg
a.
3
b.
47
c.
–47
d.
–3
 

 23. 
mc023-1.jpg
a.
–4
b.
–18
c.
204
d.
–144
 

 24. 
mc024-1.jpg
a.
–96
b.
5
c.
–51
d.
–61
 
 
Solve the inequality.   Show all work and all steps on extra paper for problems 25 to 32.  Points will be deducted if work is not shown.
 

 25. 
mc025-1.jpg
a.
mc025-2.jpg
b.
mc025-3.jpg
c.
mc025-4.jpg
d.
mc025-5.jpg
 

 26. 
mc026-1.jpg
a.
mc026-2.jpg
b.
mc026-3.jpg
c.
mc026-4.jpg
d.
mc026-5.jpg
 

 27. 
mc027-1.jpg
a.
mc027-2.jpg
b.
mc027-3.jpg
c.
mc027-4.jpg
d.
mc027-5.jpg
 

 28. 
mc028-1.jpg
a.
mc028-2.jpg
b.
mc028-3.jpg
c.
mc028-4.jpg
d.
mc028-5.jpg
 
 
Solve the equation.
 

 29. 
8d – 4d – 6d – 8 = 2d
a.
mc029-1.jpg
b.
mc029-2.jpg
c.
mc029-3.jpg
d.
–4
 

 30. 
37 – 18 + 8w = 67
a.
–6
b.
4
c.
7
d.
6
 

 31. 
5x – 5 = 3x – 9
a.
–2
b.
1
c.
–1
d.
–3
 

 32. 
6x – 6 = 3x + 6
a.
2
b.
1
c.
5
d.
4
 
 
Solve the inequality.
 

 33. 
r + 4 > 7
a.
r > 3
mc033-1.jpg
c.
r > 11
mc033-3.jpg
b.
r < 3
mc033-2.jpg
d.
r < 11
mc033-4.jpg
 

 34. 
a + 4 ³ 8
a.
a £ 4
mc034-1.jpg
c.
a ³ 4
mc034-3.jpg
b.
a £ 12
mc034-2.jpg
d.
a ³ 12
mc034-4.jpg
 

 35. 
The sum of three consecutive integers is 129. What are they?
a.
42, 43, 44
b.
44, 45, 46
 

 36. 
The sum of three consecutive integers is 21. What are they?
a.
5, 6, 7
b.
6, 7, 8
c.
5, 7, 9
d.
8, 9, 10
 
 
Write and solve an inequality.
 

 37. 
(Show Work) Levi earns $6.25 per hour working after school. He needs at least $143.75 for a stereo system. How many hours h does he need to work to reach his goal?
a.
mc037-1.jpg
c.
mc037-3.jpg
b.
mc037-2.jpg
d.
mc037-4.jpg
 

 38. 
(Show Work)  The speed limit of a highway is 55 miles per hour. A car is traveling at least 65 miles per hour. How many miles per hour m over the speed limit is the car traveling?
a.
mc038-1.jpg
c.
mc038-3.jpg
b.
mc038-2.jpg
d.
mc038-4.jpg
 

 39. 
List the terms that correctly complete the table.
Time (seconds)
0
1
2
3
4
5
6
7
8
9
Distance (feet)
mc039-1.jpg
17
19
21
mc039-2.jpg
25
27
29
31
mc039-3.jpg
a.
15, 23, 33
b.
15, 24, 36
c.
10, 23, 33
d.
15, 23, 36
 

 40. 
(Show Work) What is the solution of the following system of equations?
y = mc040-1.jpgxmc040-2.jpg
y = mc040-3.jpgxmc040-4.jpg
a.
(4, 0)
b.
(1, 3)
c.
(–3, 19)
d.
(0, 7)
 

 41. 
(Show Work) What is the solution of the following system of equations?
y = mc041-1.jpgxmc041-2.jpg
y = mc041-3.jpgxmc041-4.jpg
a.
(1, –4)
b.
(4, 5)
c.
(–3, 8)
d.
(2, –7)
 

 42. 
The sum of three consecutive integers is 156. What are they?
a.
53, 54, 55
b.
51, 52, 53
 

 43. 
List the terms that correctly complete the table.
Time (seconds)
0
1
2
3
4
5
6
7
8
9
Distance (feet)
mc043-1.jpg
30
40
50
mc043-2.jpg
70
80
90
100
mc043-3.jpg
a.
15, 60, 110
b.
20, 60, 110
c.
20, 65, 113
d.
20, 60, 113
 

 44. 
(Show Work) The perimeter of the rectangle is 50 cm. Find the value of x.
mc044-1.jpg
a.
37
b.
mc044-2.jpg
c.
25
d.
5
 

 45. 
(Show Work) The cost of a school banquet is $90 for the room rental and $14 per person attending. Write an expression to model the total cost of the banquet for p people. What is the cost for 70 people?
a.
mc045-1.jpg; $1,330
b.
mc045-2.jpg; $1,070
 

 46. 
(Show Work) A road has a speed limit of 30 mi/h. Write an inequality that describes the legal speeds r for motor vehicles.
a.
mc046-1.jpg
b.
mc046-2.jpg
c.
mc046-3.jpg
d.
mc046-4.jpg
 
 
Write and solve an equation.
 

 47. 
(Show Work) You withdrew $100 from the ATM machine. The new balance is $372. What was the original balance b of your account?
a.
mc047-1.jpg
c.
mc047-3.jpg
b.
mc047-2.jpg
d.
mc047-4.jpg
 

 48. 
(Show Work) Mark wants to buy a skateboard that costs $65. He plans to save $5 per week. How many weeks w will it take him to save $65?
a.
mc048-1.jpg
c.
mc048-3.jpg
b.
mc048-2.jpg
d.
mc048-4.jpg
 

 49. 
(Show Work) The sum of two even integers is 194. What are they? Use the variable n for the value of the smaller integer.
a.
mc049-1.jpg; 96, 98
b.
mc049-2.jpg; 96, 98
 

Essay
 

 50. 
Using vocabulary from the ‘Short Answer’ section,  complete the following question. Be detailed and organized in your response - that should include a complete paragraph containing 5 or more sentences. (Worth 10 points)

Explain what information  you need to write an equation that represents a linear relationship? What if all of the data were given in a table?  Include the equation format and the meaning of the parts of the equation, and define where the dependent and independent variables are located on your graph.
 



 
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