Name: 
 

Pre-Algebra: Final - STUDY GUIDE



 
Simplify the expression. Write your answer as a power.
 

 1) 

mc001-1.jpg
A.
mc001-2.jpg
C.
mc001-4.jpg
B.
mc001-3.jpg
D.
mc001-5.jpg
 

 2) 

mc002-1.jpg
A.
mc002-2.jpg
C.
mc002-4.jpg
B.
mc002-3.jpg
D.
mc002-5.jpg
 
 
Simplify the expression. Write your answer as a power.
 

 3) 

mc003-1.jpg
A.
mc003-2.jpg
C.
mc003-4.jpg
B.
mc003-3.jpg
D.
mc003-5.jpg
 
 
Evaluate the expression.
 

 4) 

mc004-1.jpg
A.
mc004-2.jpg
C.
mc004-4.jpg
B.
mc004-3.jpg
D.
–8
 
 
Write the number in scientific notation.
 

 5) 

7,730,000
A.
mc005-1.jpg
C.
mc005-3.jpg
B.
mc005-2.jpg
D.
mc005-4.jpg
 
 
Solve the equation.
 

 6) 

mc006-1.jpg
A.
–1.5
C.
–0.6
B.
1.5
D.
0.6
 

 7) 

mc007-1.jpg
A.
3.5
C.
11
B.
2.2
D.
0.1
 

 8) 

mc008-1.jpg  mc008-2.jpg mc008-3.jpgmc008-4.jpg
A.
mc008-5.jpg
C.
mc008-7.jpg
B.
mc008-6.jpg
D.
mc008-8.jpg
 

 9) 

mc009-1.jpg
A.
mc009-2.jpg
B.
-4
C.
-12
D.
-4.4
 
 
Which linear equation represents the graph?
 

 10) 

mc010-1.jpg
A.
mc010-2.jpg
C.
mc010-4.jpg
B.
mc010-3.jpg
D.
mc010-5.jpg
 

 11) 

Which equation shows mc011-1.jpg written in slope-intercept form?
A.
mc011-2.jpg
B.
mc011-3.jpg
C.
mc011-4.jpg
D.
mc011-5.jpg
 

 12) 

What is the solution to this system of equations?
mc012-1.jpg
A.
mc012-2.jpg
B.
mc012-3.jpg
C.
mc012-4.jpg
D.
mc012-5.jpg
 

 13) 

For a field trip, a bus company charges $76 plus a fee of $4.25 per student. Write an equation that represents the cost y of the field trip for x students.
A.
mc013-1.jpg
B.
mc013-2.jpg
C.
mc013-3.jpg
D.
mc013-4.jpg
 
 
Solve the system of linear equations.
 

 14) 

mc014-1.jpg
A.
(3, 13)
C.
(6, 22)
B.
all the points on the line mc014-2.jpg
D.
no solution
 

 15) 

Tell whether the data show a positive, a negative, or no relationship.
mc015-1.jpg
A.
Positive
B.
Negative
C.
No Relationship
 

 16) 

Does this relationship form a function?

x
4
5
5
6
y
1
2
3
4
A.
Yes
B.
No
 

 17) 

Is this function linear?

x
-1
2
5
8
y
-10
0
10
20
A.
Yes
B.
No
 

 18) 

Write an equation in function form to represent the data in the table.

x
-6
-3
0
3
y
0
2
4
6
A.
mc018-1.jpg
B.
mc018-2.jpg
C.
mc018-3.jpg
D.
mc018-4.jpg
 
 
A figure lies entirely in Quadrant IV. In which quadrant will the figure lie after the given clockwise rotation about the origin?
 

 19) 

90°
A.
Quadrant I
C.
Quadrant II
B.
Quadrant III
D.
Quadrant IV
 

 20) 

Simplify the expression.
mc020-1.jpg
A.
6
B.
8
C.
44
D.
98
 

 21) 

Which point is the best approximation of mc021-1.jpg?
mc021-2.jpg
A.
A
B.
B
C.
C
D.
D
 
 
Find the missing length of the triangle.
 

 22) 

mc022-1.jpg
A.
23 ft
C.
88.5 ft
B.
25 ft
D.
27 ft
 
 
Find the distance d. Round your answer to the nearest tenth.
 

 23) 

mc023-1.jpg
A.
8 units
C.
4 units
B.
4.7 units
D.
5.7 units
 

 24) 

Tell whether the triangle with the given side lengths is a right triangle.
3 cm, 4 cm, 5 cm
A.
Yes
B.
No
 

 25) 

Which of the following best describes a vertical cross-section of the cylinder below?

mc025-1.jpg
A.
Rectangle
B.
Triangle
C.
Cylinder
D.
Circle
 
 
Find the volume.
 

 26) 


mc026-1.jpg
A.
27mc026-2.jpg 84.8 mc026-3.jpg
C.
mc026-7.jpgmc026-8.jpg 113 mc026-9.jpg
B.
mc026-4.jpgmc026-5.jpg 28.3 mc026-6.jpg
D.
mc026-10.jpgmc026-11.jpg 42.4 mc026-12.jpg
 

 27) 

Find the volume when r = 3.
mc027-1.jpg
A.
113.04
B.
36
C.
37.68
D.
63.585
 

 28) 

There are 4 red, 4 white, and 2 blue stars in a bag.  You remove one star, DO NOT PUT IT BACK, then remove another star.  What’s the probability that you get two red stars?
A.
mc028-1.jpg or mc028-2.jpg
B.
mc028-3.jpg
C.
mc028-4.jpg or mc028-5.jpg
D.
mc028-6.jpg or mc028-7.jpg
 

 29) 

You must make a three-character alphanumeric code. The code is NOT case sensitive, but you may NOT repeat a character. How many possible codes could you make?
A.
720
B.
15,600
C.
42,840
D.
46,656
 
 
Solve the inequality. Graph the solution.
 

 30) 

mc030-1.jpg
A.
mc030-2.jpg;
mc030-3.jpg
C.
mc030-6.jpg;
mc030-7.jpg
B.
mc030-4.jpg;
mc030-5.jpg
D.
mc030-8.jpg;
mc030-9.jpg
 



 
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