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Algebra I Diagnostic Online Test

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

 1. 
mc001-1.jpg
a.
addition property of equality
c.
multiplication property of equality
b.
commutative property of addition
d.
distributive property of multiplication over addition
 

 2. 
mc002-1.jpg
a.
mc002-2.jpg
c.
mc002-4.jpg
b.
mc002-3.jpg
d.
mc002-5.jpg
 

 3. 
mc003-1.jpg
a.
the sum of two rational numbers is rational
c.
the sum of a rational number and an irrational number is irrational
b.
the product of two irrational numbers is rational
d.
the product of a non-zero rational number and an irrational number is irrational
 

 4. 
The number 0.14114111411114... is:

I integral (this means it’s an integer)
II rational
III irrational
IV real
a.
I and II
c.
IV only
b.
III only
d.
III and IV
 

 5. 
The Celluloid Cinema sold 150 tickets to a movie. Some of these were child tickets and the rest were adult tickets. A child ticket cost $7.75 and an adult ticket cost $10.25. If the cinema sold $1470 worth of tickets, which system of equations could be used to determine how many adult tickets, a, and how many child tickets, c, were sold?
a.
a + c = 150
10.25a + 7.75c = 1470
c.
a + c = 1470
10.25a + 7.75c = 150
b.
a + c = 150
7.75a + 10.25c = 1470
d.
a + c = 1470
7.75a + 10.25c = 150
 

 6. 
A satellite television company charges a one-time installation fee
and a monthly service charge. The total cost is modeled by the function
y = 40 + 90x. Which statement represents the meaning of each part of the function?
a.
y is the total cost, x is the number of months of service,
$90 is the installation fee, and $40 is the service charge per month
c.
x is the total cost, y is the number of months of service,
$40 is the installation fee, and $90 is the service charge per month
b.
y is the total cost, x is the number of months of service,
$40 is the installation fee, and $90 is the service charge per month
d.
x is the total cost, y is the number of months of service,
$90 is the installation fee, and $40 is the service charge per month.
 

 7. 
Solve:   –2x + 7 > 13   and   x + 6 > 11
a.
{x| x > 5}
c.
{all real numbers}
b.
{x|x < –3}
d.
{   }
 

 8. 
Which of the following best represents the graph of a function f(x) = 3.50x such that the domain represents the amount of notebooks sold and the range represents the store’s revenue based on the amount of notebooks sold (without tax)?
(you may want to graph the points on graph paper to help you answer this question)
a.
the points graphed should be connected, and the line it creates should have arrows on either end
c.
the points should not be connected
b.
the points should be connected, but should also create a line segment with no arrows on either end
d.
none of the above
 

 9. 
Which of the following displays points on a line that does not have a slope of 5?
a.
{(0, 0), (1, 5), (2, 10), (3, 15)}
c.
{(0, 0), (1, 5), (2, 5), (3, 5), (4, 5)}
b.
{(0, 0), (2, 10), (4, 20), (6, 30)}
d.
{(0, 0) (3, 15), (6, 30), (9, 45), (12, 60)}
 

 10. 
Which of the following is the equation of a line that is perpendicular to the line represented by y = 3x – 11?
a.
mc010-1.jpg
c.
mc010-3.jpg
b.
mc010-2.jpg
d.
mc010-4.jpg
 

 11. 
Which of the following is the equation of the line that is parallel to the line represented by
y = ½x + 7?
a.
–x + 2y = 6
c.
4x – y = –5
b.
2x – y = 7
d.
–x + 4y = –12
 

 12. 
Which of the following is the equation of a line, in point-slope form, that passes through the points (5, 6) and (7, 10) ?
a.
y – 6 = ½(x – 5)
c.
y – 10 = ½(x + 7)
b.
y – 10 = 2(x + 6)
d.
y – 6 = 2(x – 5)
 

 13. 
mc013-1.jpg
a.
1
c.
3
b.
2
d.
4
 

 14. 
Which of the following is true about the graph?
mc014-1.jpg
I  it represents a function   
II the domain is {x | x > –4}
III the range is the set of all real numbers
a.
I only
c.
II and III
b.
I and II
d.
II only
 

 15. 
The excluded values that make the expression below undefined are:
mc015-1.jpg
a.
8 and -5
c.
0
b.
-8 and 5
d.
3
 

 16. 
Which of the following represents the function  mc016-1.jpg ?
a.
mc016-2.jpg
c.
mc016-4.jpg
b.
mc016-3.jpg
d.
none of these
 

 17. 
Solve for x:
mc017-1.jpg
a.
11
c.
4
b.
5
d.
3
 

 18. 
Solve for x:
mc018-1.jpg
a.
mc018-2.jpg
c.
mc018-4.jpg
b.
mc018-3.jpg
d.
mc018-5.jpg
 

 19. 
Simplify:
mc019-1.jpg
a.
mc019-2.jpg
c.
mc019-4.jpg
b.
mc019-3.jpg
d.
mc019-5.jpg
 

 20. 
Which of the following is a factor of 5r4 – 2r?
a.
r2
c.
15r3 – 2r
b.
5r3 – 2
d.
3r
 

 21. 
Which of the following is a factor of 36p2 – 1 ?
a.
6p + 1
c.
5p
b.
6p
d.
none of these
 

 22. 
Which of the following is the equation of the linear-piecewise function graphed below?
mc022-1.jpg
a.
mc022-2.jpg
c.
mc022-4.jpg
b.
mc022-3.jpg
d.
mc022-5.jpg
 

 23. 
Which of the following is the property illustrated here?
(ab)c = c(ab)
a.
associative property of multiplication
c.
distributive property
b.
commutative property of multiplication
d.
identity property of multiplication
 

 24. 
Simplify:  (5x2 + 6x – 7) – (2x2 – 4x) + (3x2 – 1)
a.
6x2 + 2x – 8
c.
6x2 + 10x – 8
b.
3x2 + 2x – 6
d.
6x2 + 10x – 6
 

 25. 
The equations 6x + 5y = 300 and 3x + 7y = 285 represent the money collected from selling gift baskets in a school fundraising event. If x represents the cost for each snack gift basket and y represents the cost for each chocolate gift basket, what is the cost for each chocolate gift basket?
a.
$30
c.
$54
b.
$20
d.
$25
 

 26. 
Which of the following is a factor of 8x2 – 18x – 35?
a.
x - 5
c.
2x + 5
b.
2x - 7
d.
none of these
 



 
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