Solve the equation.
54)
54)
4(5x + 1) + 23 =14x – 3
A)
{–5}
B)
{–30}
C)
{5}
D)
{–180}
Solve the problem.
55)
The time it takes to travel a given distance at constant speed is given by the formula t =d
r, where
t is the time, d is the distance, and r is the rate of travel. At 60 miles per hour, what distance can
be traveled in 4 hours?
55)
A)
120 mi
B)
240 mi
C)
48 mi
D)
480 mi
Solve the equation.
56)
x –1
4=1
16
56)
A)
–1
8
B)
5
16
C)
–5
16
D)
–21
64
Solve the equation. Use words or set notation to identify equations that have no solution, or equations that are true for
all real numbers.
57)
1
4x –3
8x =2
57)
A)
B)
{–16}
C)
{16}
D)
{x x is a real number}
21
Use both the addition and multiplication properties of inequality to solve the inequality. Graph the solution set on a
number line.
58)
58)
2x –42
A)
[–1, )
B)
[3, )
C)
(–, 3]
D)
(–, –1]
Let x represent the number. Write the English phrase as an algebraic expression.
59)
59)
Twice the sum of a number and –16.
A)
2+ x + (–16)
B)
2x – (–16)
C)
2x + (–16)
D)
2(x + (–16))
Solve the formula for the specified variable.
60)
60)
d = rt for t
A)
t=r
d
B)
t=d
r
C)
t= dr
D)
t= d –r
Solve the inequality.
61)
61)
3x –22(x – 1)
A)
( , )
B)
(–, 0]
C)
D)
[0, )
Use both the addition and multiplication properties of inequality to solve the inequality. Graph the solution set on a
number line.
62)
62)
4x +1<37
A)
(–, 9)
B)
[9, )
C)
(9, )
D)
(–, 9]
Express the solution set of the inequality in interval notation.
63)
63)
x 3
A)
[3, )
B)
( , 3)
C)
( , 3]
D)
(3, )
Solve.
64)
64)
To trim the edges of a rectangular table cloth, 60 feet of lace are needed. The length of the table
cloth is exactly one–half its width. What are the dimensions of the table cloth?
A)
length: 20 feet; width: 10 feet
B)
length: 10 feet; width: 20 feet
C)
length: 20 feet; width: 40 feet
D)
length: 5 feet; width: 10 feet
Solve the problem.
65)
65)
A certain car has a weight limit for all passengers and cargo of 1107 pounds. The four passengers
in the car weigh an average of 165 pounds. Use an inequality to find the maximum weight of the
cargo that the car can handle.
A)
at most 447 lb
B)
at most 369
55 lb
C)
at most 942 lb
D)
at most 1107
2 lb
Use a formula for perimeter or area to solve the problem.
66)
66)
17 km
8km
15 km
Find the area of the triangle.
A)
60 km2
B)
40 km2
C)
68 km2
D)
120 km2
67)
67)
11 mi
7mi
17 mi
Find the area of the triangle.
A)
59.5 mi2
B)
93.5 mi2
C)
119 mi2
D)
38.5 mi2
Solve the equation. Use words or set notation to identify equations that have no solution, or equations that are true for
all real numbers.
68)
68)
9x + 8 + 5x + 5 =5x + 9x + 10
A)
B)
{0}
C)
{x|x is a real number}
D)
{160}
Solve the equation.
69)
69)
14x –9=6x +15
A)
{1}
B)
{6}
C)
{3}
D)
{4}
25
Use both the addition and multiplication properties of inequality to solve the inequality. Graph the solution set on a
number line.
70)
70)
25n – 35 5(4n – 13)
A)
[–6, )
B)
(–, –6]
C)
(–, –6)
D)
(–6, )
Solve the equation.
71)
71)
–29 – (3y – 1) =2(y – 2) + 3y
A)
–1
3
B)
{–3}
C)
–7
2
D)
– 12
Solve the equation using both the addition and multiplication properties of equality.
72)
72)
5n – 8 =37
A)
{40}
B)
{9}
C)
{44}
D)
{15}
Use both the addition and multiplication properties of inequality to solve the inequality. Graph the solution set on a
number line.
73)
73)
20x + 40 >5(3x + 6)
A)
(–, –2)
B)
(–, –2]
C)
[–2, )
D)
(–2, )
Solve the equation.
74)
1
2+ x =3
74)
A)
5
2
B)
1
C)
{5}
D)
7
2
75)
75)
1.6 – 9.5x = – 48.2 – 1.2x
A)
{–58}
B)
{6}
C)
{5.4}
D)
{5.2}
Use both the addition and multiplication properties of inequality to solve the inequality. Graph the solution set on a
number line.
76)
76)
–9x + 8 – 2x <4– 13x + 2
A)
( , 7)
B)
(7, )
C)
(–1, )
D)
( , –1)
Solve the equation. Use words or set notation to identify equations that have no solution, or equations that are true for
all real numbers.
77)
77)
7x +6(x + 1) =13(x + 1) –7
A)
{1}
B)
{x|x is a real number}
C)
D)
{0}
Solve the problem.
78)
78)
The length of a rectangle is 26 feet. For what widths is the perimeter less than 68 feet?
A)
widths less than 8 ft
B)
widths less than 42 ft
C)
widths less than 21 ft
D)
widths less than 16 ft
79)
79)
The sum of four times a number and 1 is equal to the difference of twice the number and 10. Find
the number.
A)
4x +1= 2x –10; –11
2
B)
4x +1= 2x +10; 9
2
C)
4x +1= 2x –10; 11
2
D)
4(x +1) = 2x –10; – 7
Solve the equation. Use words or set notation to identify equations that have no solution, or equations that are true for
all real numbers.
80)
80)
3(4x + 2) + 46 =5x – 4
A)
B)
{8}
C)
{–8}
D)
{x|x is a real number}
Solve the problem.
81)
81)
15.5 is 155% of what?
A)
24.025
B)
0.1
C)
10
D)
2402.5
82)
82)
The president of a certain university makes three times as much money as one of the department
heads. If the total of their salaries is $180,000, find each worker’s salary.
A)
president’s salary =$13,500; department head’s salary =$4500
B)
president’s salary =$135,000; department head’s salary =$45,000
C)
president’s salary =$90,000; department head’s salary =$45,000
D)
president’s salary =$45,000; department head’s salary =$135,000
Use a formula for perimeter or area to solve the problem.
83)
83)
5cm
11.6 cm
15 cm
Find the area of the trapezoid.
A)
174 cm2
B)
58 cm2
C)
232 cm2
D)
116 cm2
Find the measure of the indicated angle.
84)
84)
Find the measure of the supplement of 54°.
A)
36°
B)
216°
C)
306°
D)
126°
Use both the addition and multiplication properties of inequality to solve the inequality. Graph the solution set on a
number line.
85)
85)
8–2x –10
A)
[1, )
B)
[9, )
C)
(–, 1]
D)
(–, 9]
Use a formula for perimeter or area to solve the problem.
86)
86)
1.9 ft
1.9 ft 1.9 ft
1.9 ft
Find the perimeter of the figure.
A)
7.22 ft
B)
17.6 ft
C)
3.8 ft
D)
7.6 ft