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Algebra 2 - 1st Semester (Post Test)

Multiple Choice
Identify the letter of the choice that best completes the statement or answers the question.
 
 
Match the equation with its graph.
 

 1 

4x + 5y = 20
A
mc001-1.jpg
C
mc001-3.jpg
B
mc001-2.jpg
D
mc001-4.jpg
 

 2 

Find the missing coefficient.
mc002-1.jpgmc002-2.jpgmc002-3.jpg
A
20
B
–20
C
4
D
–4
 

 3 

A playground is mc003-1.jpg feet wide and mc003-2.jpg feet long. Find the area of the playground.
A
mc003-3.jpg ftmc003-4.jpg
C
mc003-7.jpg ftmc003-8.jpg
B
mc003-5.jpg ftmc003-6.jpg
D
mc003-9.jpg ftmc003-10.jpg
 
 
Simplify the product.
 

 4 

mc004-1.jpg
A
mc004-2.jpg
C
mc004-4.jpg
B
mc004-3.jpg
D
mc004-5.jpg
 

 5 

mc005-1.jpg
A
mc005-2.jpg
C
mc005-4.jpg
B
mc005-3.jpg
D
mc005-5.jpg
 

 6 

Ms. Baker purchased a number of juice packs at a cost of $0.30 each and a loaf of bread that cost $1.19. The total cost of her purchases was $2.99. Which equation can you use to determine how many juice packs Ms. Baker purchased?
A
2.99 – 1.19j = 0.30
C
1.19j + 0.30j = 2.99
B
0.30j + 2.99 = 1.19
D
0.30j + 1.19 = 2.99
 

 7 

An electrician charges a $25 basic fee and then charges $15 per hour.  Write a formujla for the total charge, c, in terms of the number of hours, h.
A
c = 15h
C
c = 25h
B
c = 25 + 15h
D
c = 25h + 15
 

 8 

A taxi charges 75 cents for the first quarter of a mile and 15 cents for each additional quarter of a mile.  The charge in cents for a trip of ‘d’ miles is
A
75 + 15 d
C
75 + 75d
B
75 + 15(4d - 1)
D
75 + 4d(d - 1)
 

 9 

Reggie rented a car for $129 plus $.25 per mile.  His total bill at the end of his trip was $216.50.  Write an equation that he can use to determine the number of miles, m, that he drove.
A
129 + m = 216.50
C
129 + 0.25m = 216.50
B
0.25m = 216.50
D
129.25m + 216.50
 

 10 

What is the solution of the system of equations?
y = –x + 9
y = –5x – 3
A
(–3, 12)
B
(–2, 11)
C
(12, –3)
D
(1.5, –10.5)
 
 
Solve the system of equations using substitution.
 

 11 

y = x + 2
y
= 3x
A
(–1, –3)
B
(–3, –1)
C
(0.5, 1.5)
D
(1, 3)
 

 12 

The sum of two numbers is 93. Their difference is 13. Write a system of equations that describes this situation. Solve by elimination to find the two numbers.
A
x + y = 93
xy = 13
53 and 40
C
x + y = 13
yx = 93
48 and 41
B
x + y = 93
xy = 13
48 and 35
D
xy = 93
x + y = 13
52 and 41
 
 
Solve the system using elimination.
 

 13 

2x – 2y = –8
x + 2y = –1
A
(–14, 1)
B
(1, 5)
C
(–3, 1)
D
(0, 4)
 
 
Factor the expression.
 

 14 

w2 + 18w + 77
A
(w – 7)(w + 11)
C
(w + 7)(w + 11)
B
(w – 7)(w – 11)
D
(w + 1)(w + 77)
 

 15 

d2 + 11d + 18
A
(d – 2)(d – 9)
C
(d + 2)(d + 9)
B
(d – 2)(d + 9)
D
(d + 2)(d – 9)
 

 16 

mc016-1.jpg
A
mc016-2.jpg
C
mc016-4.jpg
B
mc016-3.jpg
D
mc016-5.jpg
 

 17 

49b2 – 36
A
(6b + 7)(6b – 7)
C
(7b + 6)(7b – 6)
B
(7b + 6)(7b + 6)
D
(7b – 6)(7b – 6)
 
 
Solve the equation using the zero-product property.
 

 18 

mc018-1.jpg
A
x = 3 or x = mc018-2.jpg
C
x = 3 or x = mc018-4.jpg
B
x = –3 or x = mc018-3.jpg
D
x = –3 or x = mc018-5.jpg
 

 19 

mc019-1.jpg
A
n = mc019-2.jpg or n = mc019-3.jpg
C
n = 0 or n = mc019-5.jpg
B
n = 0 or n = mc019-4.jpg
D
n = mc019-6.jpg or n = mc019-7.jpg
 
 
Solve the equation by factoring.
 

 20 

mc020-1.jpg
A
z = 1 or z = 7
C
z = –1 or z = 7
B
z = 1 or z = –7
D
z = –1 or z = –7
 

 21 

mc021-1.jpg
A
z = 5 or z = –4
C
z = –5 or z = 4
B
z = –5 or z = –4
D
z = 5 or z = 4
 
 
Solve the equation.
 

 22 

mc022-1.jpgx – 7 = 3
A
mc022-2.jpg
B
mc022-3.jpg
C
mc022-4.jpg
D
mc022-5.jpg
 

 23 

6(y + 4) = 42
A
–11
B
11
C
2
D
3
 

 24 

mc024-1.jpg
A
3
B
0
C
–9
D
–10
 

 25 

5x – 2 = 6x – 7
A
5
B
8
C
3
D
–1
 
 
Which number is a solution of the inequality?
 

 26 

mc026-1.jpg
A
mc026-2.jpg
B
mc026-3.jpg
C
4
D
mc026-4.jpg
 
 
Write the inequality in words.
 

 27 

3n < 52
A
fifty-two less than three times n
B
Three times n is less than fifty-two.
C
Three times n is less than or equal to fifty-two.
D
Three times n is greater than fifty-two.
 
 
Graph the inequality.
 

 28 

p < 3
A
mc028-1.jpg
C
mc028-3.jpg
B
mc028-2.jpg
D
mc028-4.jpg
 

 29 

mc029-1.jpg
A
mc029-2.jpg
C
mc029-4.jpg
B
mc029-3.jpg
D
mc029-5.jpg
 

 30 

mc030-1.jpg
A
mc030-2.jpg
C
mc030-4.jpg
B
mc030-3.jpg
D
mc030-5.jpg
 
 
Find the product.
 

 31 

(2n + 2)(2n – 2)
A
4n2 – 4
C
4n2 + 2n – 4
B
4n2 – 4n – 4
D
4n2 + 4n – 4
 
 
Write the linear inequality shown in the graph.
 

 32 

mc032-1.jpg
A
mc032-2.jpg
B
mc032-3.jpg
C
mc032-4.jpg
D
mc032-5.jpg
 

 33 

mc033-1.jpg
A
mc033-2.jpg
B
mc033-3.jpg
C
mc033-4.jpg
D
mc033-5.jpg
 
 
Graph the function.
 

 34 

mc034-1.jpg
A
mc034-2.jpg
C
mc034-4.jpg
B
mc034-3.jpg
D
mc034-5.jpg
 

 35 

mc035-1.jpg
A
mc035-2.jpg
C
mc035-4.jpg
B
mc035-3.jpg
D
mc035-5.jpg
 

 36 

mc036-1.jpg
A
mc036-2.jpg
C
mc036-4.jpg
B
mc036-3.jpg
D
mc036-5.jpg
 

 37 

mc037-1.jpg
A
mc037-2.jpg
C
mc037-4.jpg
B
mc037-3.jpg
D
mc037-5.jpg
 

 38 

Identify the vertex of the graph. Tell whether it is a minimum or maximum.
mc038-1.jpg
A
(0, –1); maximum
C
(0, –1); minimum
B
(–1, 0); minimum
D
(–1, 0); maximum
 
 
Graph the equation.
 

 39 

y = –2
A
mc039-1.jpg
C
mc039-3.jpg
B
mc039-2.jpg
D
mc039-4.jpg
 

 40 

x = 3
A
mc040-1.jpg
C
mc040-3.jpg
B
mc040-2.jpg
D
mc040-4.jpg
 



 
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