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Accelerated Algebra II
Ch. 4 - College Entrance Test Practice
Name: ____________________________
Total Points: 15
Quantitative Comparison: Choose the statement that is true about the given quantities. Show work to justify your
answer. Guess & Check is not an option. Attach work on a separate sheet of paper where necessary.
A
The quantity in column A is greater
B
The quantity in column B is greater
C
The two quantities are equal
D
The relationship cannot be determined from the given information
Column A
1.
Column B
6
10
  6
16 
  4x - 2
8y

16 

4
y
x
2.
0
3
2  x
0
  -1
  -2

3y 
 12
4

12 

6
x
3.
6 8

A
 2 4 
f
4.
y
-2 0 

B 
 6 -4 
2 8

C 
 -4 2 
The entry in row 1, column 1 of:
(A + B)C
AC + BC
The entry in row 2 column 2 of G-1
The entry in row 2 column 2 of H-1
G
3
 -5

6

4
H 
3
 4

-4 

3
Answer
Acc. Alg. II – Ch. 4 College Entrance Practice
5.
Page 2
2x + y = 3
3x – 2y = 8
x
y
6.
3 4  18 24
2x 


-1 2 -6 y 
the value of x
7.
the value of y
3x  -2 + 3y 
-4y   x + 8 
  

the value of x
8.
the value of y
2x + y – z = 5
3x + 2y + 3z = 16
5x – y + 2z = 18
z
y
9.
A box of children’s pattern toys contains 180 pieces. The box contains
triangular, rectangular, and pentagonal shaped toys. The toys have a total
of 740 edges. There are twice as many pentagonal pattern pieces as
rectangular pieces.
the number of triangular pieces
the number of pentagonal pieces
Acc. Alg. II – Ch. 4 College Entrance Practice
10.
What is the inverse matrix used to solve the following system with a matrix equation?
4x – 2y = 7
8x + 3y = 12
1 3  2 
A. - 
4  8 4 
11.
C.
1 3
28 -8
2
4 
D.
1 3 2 
4 -8 4 
B. 3
C. 4
D. 5
E. 6
B. 3
C. 4
D. 6
E. 8
B. 506
C. 575
D. 650
E. 675
In one day a hot dog stand sells 200 hot dogs. If 75% of the hot dogs are order with catsup and of these
40% are ordered with mustard, how many hot dogs are ordered with catsup and mustard?
A. 30
15.
8
-3
If the sum of two consecutive odd integers is 48, what is their product?
A. 96
14.
1 -4
28 -2
The correct addition problem is shown below. If M and N are 2 different non-zero digits, then what is
the value of N?
5M
+ M1
1N9
A. 1
13.
B.
The sum of two numbers is 20 and the ratio of the smaller number to the larger number is 1:3. What
is the smaller number?
A. 2
12.
Page 3
B. 40
C. 60
D. 75
E. 115
A car traveled at an average speed of 60 mph for 4 hours. On the return trip the car averaged 40 mph.
What was the average speed, in miles per hour, for the entire trip?
A. 48
B. 49
C. 50
D. 51
E. 52