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Algebra 1 - 2nd 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
–11
B
29
C
11
D
–29
 
 
Find the product.
 

 3 

(j + 7)(j – 7)
A
j2 + 14j – 49
C
j2 + 14j – 49
B
j2 – 14j – 49
D
j2 – 49
 

 4 

A playground is mc004-1.jpg feet wide and mc004-2.jpg feet long. Find the area of the playground.
A
mc004-3.jpg ftmc004-4.jpg
C
mc004-7.jpg ftmc004-8.jpg
B
mc004-5.jpg ftmc004-6.jpg
D
mc004-9.jpg ftmc004-10.jpg
 
 
Simplify the product.
 

 5 

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

 6 

mc006-1.jpg
A
mc006-2.jpg
C
mc006-4.jpg
B
mc006-3.jpg
D
mc006-5.jpg
 

 7 

An electrician charges a $25 basic fee and then charges $15 per hour.  Write a formula 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 + 10
y = 5x – 2
A
(–1.33, –8.67)
B
(2, 8)
C
(3, 7)
D
(8, 2)
 
 
Solve the system of equations using substitution.
 

 11 

y = x + 3
y
= 4x
A
(0.6, 2.4)
B
(–1, –4)
C
(–4, –1)
D
(1, 4)
 

 12 

The sum of two numbers is 68. Their difference is 28. Write a system of equations that describes this situation. Solve by elimination to find the two numbers.
A
x + y = 28
yx = 68
43 and 21
C
x + y = 68
xy = 28
48 and 20
B
xy = 68
x + y = 28
47 and 21
D
x + y = 68
xy = 28
43 and 15
 
 
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 + 4d + 4
A
(d + 2)(d – 2)
C
(d + 2)(d + 2)
B
(d – 2)(d + 2)
D
(d – 2)(d – 2)
 

 16 

x2x – 42
A
(x – 7)(x + 6)
C
(x + 7)(x – 6)
B
(x + 7)(x + 6)
D
(x – 7)(x – 6)
 

 17 

k2 – 100h2
A
(k + 10h)(k + 10h)
C
h2(k + 10)(k – 10)
B
(k + 10h)(k – 10h)
D
(k – 10h2)(k + 10)
 
 
Solve the equation using the zero-product property.
 

 18 

mc018-1.jpg
A
x = –11 or x = mc018-2.jpg
C
x = –11 or x = mc018-4.jpg
B
x = 11 or x = mc018-3.jpg
D
x = 11 or x = mc018-5.jpg
 

 19 

mc019-1.jpg
A
n = 0 or n = mc019-2.jpg
C
n = 0 or n = mc019-5.jpg
B
n = mc019-3.jpg 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 = 1
C
z = 1 or z = –1
B
z = –1 or z = –1
D
z = –1 or z = 1
 

 21 

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

 22 

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

 23 

2(y + 2) = 20
A
12
B
9
C
–12
D
8
 

 24 

mc024-1.jpg
A
3
B
0
C
–9
D
–10
 

 25 

6x – 4 = 5x – 7
A
0
B
–3
C
–1
D
–5
 
 
Which number is a solution of the inequality?
 

 26 

mc026-1.jpg
A
mc026-2.jpg
B
mc026-3.jpg
C
mc026-4.jpg
D
4
 
 
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 

x < –2
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
 
 
Write the linear inequality shown in the graph.
 

 31 

mc031-1.jpg
A
mc031-2.jpg
B
mc031-3.jpg
C
mc031-4.jpg
D
mc031-5.jpg
 

 32 

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

 33 

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

 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 

Identify the vertex of the graph. Tell whether it is a minimum or maximum.
mc037-1.jpg
A
(2, 0); maximum
C
(0, 2); maximum
B
(2, 0); minimum
D
(0, 2); minimum
 
 
Graph the equation.
 

 38 

y = 3
A
mc038-1.jpg
C
mc038-3.jpg
B
mc038-2.jpg
D
mc038-4.jpg
 

 39 

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

 40 

The fare for riding in a taxi is a $3 fixed charge and $0.80 per mile. The fare for a ride of d miles is $6.75. Which equation could be used to find d?
A
3(6.75 + d) = 3
C
3 + 0.80d = 6.75
B
0.80 + 3d = 6.75
D
(0.80 + 6.75)d = 3
 



 
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