Determine whether the equation in one variable is linear.
87)
6 x –3= 0
87)
A)
linear
B)
not linear
Use the percent formula, A = PB: A is P percent of B, to solve.
88)
88)
27% of what number is 43.2?
A)
160
B)
16
C)
1600
D)
1.6
Solve the equation. Use words or set notation to identify equations that have no solution, or equations that are true for
all real numbers.
89)
89)
12(x – 3) =6(2x + 5) – 66
A)
{x|x is a real number}
B)
{–36}
C)
D)
{0}
Solve the equation.
90)
90)
5x + 6 =3x – 3
A)
2
9
B)
–2
9
C)
8
3
D)
–9
2
32
Let x represent the number. Write the English phrase as an algebraic expression.
91)
91)
The quotient of 37 times a number and –3.
A)
1
–111x
B)
37x +3
C)
37x – 3
D)
37x
–3
Solve the problem.
92)
92)
An isosceles triangle contains two angles of the same measure. If the measure of the third angle is
42° less than the measure of either of the other two identical angles, find the measure of one of
the identical angles. (Hint: The sum of the angles of a triangle is 180°.)
A)
74°
B)
111°
C)
54°
D)
32°
A)
D)
Find the volume of the figure. Where applicable, express answers in terms of .
93)
93)
7 ft
5 ft
A)
35ft3
B)
245ft3
C)
245 ft3
D)
49ft3
A)
D)
A)
D)
Solve the problem.
94)
94)
There is a formula that gives a correspondence between women’s shoe sizes in the United States
and those in Italy. The formula is S = 2(x + 12), where S is the size in Italy and x is the size in the
United States. What would be the US size for an Italian size of 34?
A)
2.5
B)
10
C)
5
D)
80
95)
95)
Of the 20 students in an algebra class, 8 of them received an F on the mid–term exam. What
percent of the algebra students received an F on the exam? (Round to the nearest tenth of a
percent, if necessary.)
A)
400%
B)
2.5%
C)
25%
D)
40%
Solve the equation.
96)
96)
11 = b – 19
A)
{8}
B)
{–8}
C)
{–30}
D)
{30}
Express the solution set of the inequality in interval notation.
97)
97)
x > – 8
A)
( , –8]
B)
( , –8)
C)
[–8, )
D)
(–8, )
Solve the problem.
98)
98)
A promotional deal for long distance phone service charges a $15 basic fee plus $0.05 per minute
for all calls. If Joe’s phone bill was $73 under this promotional deal, how many minutes of phone
calls did he make? Round to the nearest integer, if necessary.
A)
1760 minutes
B)
1160 minutes
C)
3 minutes
D)
12 minutes
99)
99)
The formula C =502x +168 models the data for the cost to produce x units of a product, where C
is given in dollars. How many units can be produced for a cost of $451,968?
A)
450 units
B)
1800 units
C)
675 units
D)
900 units
Solve the equation using the multiplication property of equality.
100)
100)
7a = – 56
A)
{1}
B)
{63}
C)
{–8}
D)
{–63}
Solve the equation.
101)
2x
5–x
3=3
101)
A)
{45}
B)
{–45}
C)
{–90}
D)
{90}
Use a formula for perimeter or area to solve the problem.
102)
102)
1.8 yd
3.1 yd
Find the area of the rectangle.
A)
5.58 yd2
B)
55.8 yd2
C)
4.9 yd2
D)
9.8 yd2
Solve the equation.
103)
103)
0.02y + 0.14(5000 – y) =0.13y
A)
{1750}
B)
{2800}
C)
{175}
D)
{8400}
Use the given information to write an equation. Let x represent the number described in the exercise. Then solve the
equation and find the number.
104)
Three–fourths of a number is 5
6. Find the number in lowest terms.
104)
A)
3
4x =5
6; 10
9
B)
3
4x =5
6; 20
18
C)
3
4+ x =5
6; 1
10
D)
3
4x =5
6; 5
8
Graph the solution of the inequality on a number line.
105)
105)
0 x <4
A)
B)
C)
D)
Solve the problem.
106)
106)
An archery set containing a bow and three arrows costs $74. Additional arrows can be purchased
for $9 each. Gerri has $128 to spend on the set and additional arrows. Including the arrows in the
set, what is the maximum total number of arrows Gerri can purchase?
A)
at most 9 arrows
B)
at most 1 arrow(s)
C)
at most 6 arrows
D)
at most 14 arrows
Let x represent the number. Use the given conditions to write an equation. Solve the equation and find the number.
107)
107)
When 5 times a number is subtracted from 7 times the number, the result is 22. Find the number.
A)
5x + 11x =22; 2
B)
7x – 5x =22; 11
C)
5x(7 – x) =22; –11
D)
5(x – 7) =22x; 0.5
Graph the solution of the inequality on a number line.
108)
108)
x < – 5
A)
B)
C)
D)
Determine whether the equation in one variable is linear.
109)
109)
7x +15 =21
A)
linear
B)
not linear
Solve the problem.
110)
110)
Due to a lack of funding, the number of students enrolled at City College went from 8000 last
year to 3000 this year. Find the percent decrease in enrollment. (Round to the nearest tenth of a
percent, if necessary.)
A)
266.7%
B)
37.5%
C)
62.5%
D)
166.7%
Solve the equation using the multiplication property of equality.
111)
111)
–8x = – 56
A)
{2}
B)
{48}
C)
{7}
D)
{–48}
Solve the problem.
112)
112)
Rooms in Dormitory A each have 132 square feet of floor space. These rooms have twice as much
floor space as each room in Dormitory B. About how much floor space does a room in Dormitory
B have?
A)
134 sq. feet
B)
264 sq. feet
C)
66 sq. feet
D)
130 sq. feet
Solve.
113)
113)
The length of a rectangular room is 8 feet longer than twice the width. If the room’s perimeter is
184 feet, what are the room‘s dimensions?
A)
Width =56 ft; length =128 ft
B)
Width =42 ft; length =50 ft
C)
Width =33 ft; length =74 ft
D)
Width =28 ft; length =64 ft
Solve the equation using both the addition and multiplication properties of equality.
114)
114)
–12 = – 2x + 8
A)
{10}
B)
{2}
C)
{–18}
D)
{–14}
39
Solve the equation.
115)
115)
2.1 + x =17.6
A)
{19.7}
B)
{15}
C)
{15.5}
D)
{19.2}
Solve the equation using both the addition and multiplication properties of equality.
116)
116)
8r + 10 =34
A)
{3}
B)
{20}
C)
{16}
D)
{5}
117)
117)
–2x –25 = – 57
A)
{–16}
B)
{16}
C)
41
D)
{–30}
Solve the equation for y.
118)
118)
4x + y =20
A)
y =4x +20
B)
y =20 – x
4
C)
y =20 –4x
D)
y =5– x
40
Use the formula for the area or circumference of a circle to solve the problem. Where applicable, express answers in
terms of .
119)
119)
109 cm
Give the exact circumference.
A)
218cm
B)
109cm
C)
54.5cm
D)
11,881cm
Solve the equation.
120)
120)
–8.2 +4x –6.3 +5x –2.1 =5.7 +10x +1.3
A)
{9.6}
B)
{–9.6}
C)
{23.6}
D)
{–23.6}
41