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8th Grade: E2 Final Exam

Multiple Choice  Identify the choice that best completes the statement or answers the question.
 

 1. 

What does 4x2 – 64 look like when it is in its completely factored form?
a.
4(x2 – 16)
c.
4x2(1 – 16)
b.
4(x – 4)(x + 4)
d.
(4x + 4)(x – 16)
 

 2. 

The side of a square is n inches long. The area of the square is 25 square inches. Which of the following equations can be used to find the side of the square?
a.
4n = 25
b.
n = 252
c.
n2 = 25
d.
4n2 = 25
 

 3. 

Which of the following equations best represents the data in the table?
x
y
-2
-1
-1
2
0
3
1
2
2
-1
a.
y = x2 – 3
b.
y = x2 + 3
c.
y = -x2 – 3
d.
y = -x2 + 3
 

 4. 

If the pattern below continues, how many small triangles will be needed to make Figure 5?

mc004-1.jpg
a.
18
b.
20
c.
25
d.
30
 

 5. 

Which of these is another way to write 26?
a.
2 ´ 2 ´ 2 ´ 2 ´ 2 ´ 2
c.
2 + 2 + 2 + 2 + 2 + 2
b.
2 ´ 6
d.
2 + 6
 

 6. 

What does mc006-1.jpg equal?
a.
1
b.
4
c.
11
d.
14
 

 7. 

Dominic’s father is a scientist who works with radioactive substances. He had a 512-gram sample of one substance, which decays every hour. Dominic’s father monitored the sample every hour to determine how much radioactive material remained. The following chart shows his observations. How much would be expected after 5 hours?
Time (hours)
0
1
2
3
4
5
Mass (grams)
512
256
128
64
32
 
a.
20.48 g
b.
8 g
c.
16 g
d.
4 g
 

 8. 

What is the equivalent to mc008-1.jpg?
a.
mc008-2.jpg
b.
mc008-3.jpg
c.
mc008-4.jpg
d.
mc008-5.jpg
 

 9. 

If mc009-1.jpg and mc009-2.jpg, mc009-3.jpg, and mc009-4.jpg, what does mc009-5.jpgequal?
a.
mc009-6.jpg
b.
mc009-7.jpg
c.
mc009-8.jpg
d.
mc009-9.jpg
 

 10. 

If the dark figure below is reflected in the y-axis, which diagram shows the image?

mc010-1.jpg
a.
mc010-2.jpg
c.
mc010-4.jpg
b.
mc010-3.jpg
d.
mc010-5.jpg
 

 11. 

Which of the following designs would look exactly the same after being rotated 90 degrees around its center?
a.
mc011-1.jpg
c.
mc011-3.jpg
b.
mc011-2.jpg
d.
mc011-4.jpg
 

 12. 

Without using a calculator, choose the number that could be a representation of mc012-1.jpgon a calculator.
a.
5.2915026
b.
4.8989794
c.
5.9160797
d.
4.1231056
 

 13. 

Which one of the diagrams below could be used to solve the following problem: Justine rides her bike 3 miles to the east and then 10 miles to the south. How far is she from her starting point?
a.

mc013-1.jpg
b.

mc013-2.jpg
c.

mc013-3.jpg
d.

mc013-4.jpg
 

 14. 

In triangle ABC below, side AB has a length of 6 cm and side BC has a length of 10 cm. What is the length of side AC?
mc014-1.jpg
a.
4 cm
b.
6 cm
c.
11.66 cm
d.
8 cm
 

 15. 

Which graph shows the best trend line for the following data.
mc015-1.jpg
a.
mc015-2.jpg
c.
mc015-4.jpg
b.
mc015-3.jpg
 

 16. 

Which statement represents “8 more than 6 times a number is 5 less than 3 times that number”?
a.
8 – 6x = 5 – 3x
c.
6x + 8 = 3x – 5
b.
8 + 6x = 5 – 3x
d.
8(6x) = 5(–3x)
 

 17. 

If 30(x – 10) = 120, then x =
a.
–14
b.
14
c.
80
d.
–80
 

 18. 

Which of the following is the midpoint of the segment mc018-1.jpg where the coordinates of A are (4, 5) and the coordinates of B are (8, –1)?
a.
(6, 2)
c.
(12, 4)
b.
(2, 3)
d.
(6, 3)
 

 19. 

Which equation is equivalent to the equation 3x – 6y = 18?
a.
3x + 18 = 6y
c.
y = mc019-1.jpgx – 3
b.
6y = –3x + 18
d.
y = mc019-2.jpgxmc019-3.jpg
 

 20. 

Which of the following is a solution to the system mc020-1.jpg ?
a.
(2, 1)
c.
(0, 5)
b.
(0, 3)
d.
(1, 2)
 

 21. 

Which of the following is a graph of the inequality 4x – 2y = 10?
a.
mc021-1.jpg
b.
mc021-2.jpg
 

 22. 

What is the slope of the line that passes through the points (0, 3) and (8, 4)?
a.
3
b.
mc022-1.jpg
c.
mc022-2.jpg
d.
8
 

 23. 

What is the equation of the line that passes through the points (1, –1) and (3, –7)?
a.
y = 3x + 2
b.
y = –2x + 1
c.
y = –3x + 1
d.
y = –3x + 2
 

 24. 

Which of the following is not enough information to find the equation of a line?
a.
The slope and y-intercept
c.
The equation of a parallel line
b.
The slope and one point on the line
d.
Two points on the line
 
 
Use the inverse relation  y = nar001-1.jpg.
 

 25. 

What is the value of x when y is 150?
a.
–4
b.
mc025-1.jpg
c.
4
d.
40
 

 26. 

What is the value of  y when x is 150?
a.
300
b.
600
c.
900
d.
1200
 

 27. 

What is the value of x when y is –20?
a.
–300
b.
–30
c.
300
d.
30
 

 28. 

Which of the following equations would not represent the same situation as the equation y = mc028-1.jpg?
a.
x = mc028-2.jpg
b.
xy = 150
c.
yx = 150
d.
y = 150x
 

 29. 

Which of the following equations would best model the data table below?
x
2
3
4
5
6
7
8
9
10
y
5
7
9
11
13
15
17
21
21
a.
y = 2x + 1
b.
y = 2x
c.
y = 2x + 5
d.
y =mc029-1.jpg
 
 
Which number is a solution of the inequality?
 

 30. 

b > 3.7
a.
–18
b.
–10
c.
1
d.
7
 

 31. 

m > mc031-1.jpg
a.
–5
b.
–8
c.
0
d.
4
 

 32. 

mc032-1.jpg
a.
12
b.
11
c.
5
d.
1
 

 33. 

mc033-1.jpg
a.
mc033-2.jpg
b.
mc033-3.jpg
c.
mc033-4.jpg
d.
1
 



 
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