Quiz # 1 Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
ts
No
id
No ou
e
he
ou tsid
lp
ts e
No
!!!
id h
e el
ou
he p!
ts
No
lp !!
id
!!!
e
ou
he
ts
No
lp
id
!!!
e
ou
he
ts
No
lp
id
!!!
e
ou
he
ts
No
lp
id
!!!
e
ou
he
ts
lp
id
!!!
e
he
No
lp
!!!
ou
ts
No
id
e
ou
he
ts
No
lp
id
!!!
e
ou
he
ts
No
lp
id
!!!
e
ou
he
ts
lp
id
!
e
Solve the equation.
1) -5x + 5(-3x - 4) = -32 - 8x
13
A)
7
1)
B) - 1
ou
o
3
D)
8
2)
3)
B) {150}
C) {75}
D) {-150}
y
+ 10 = 14
19
A) {78}
5)
5
C) - 4
2x x
- = 5
5
3
A) {-75}
4)
D) 1
C)
2) -[7x + (6x + 7)] = 4 - (9x + 8)
3
5
A) - B)
4
8
3)
13
3
4)
B) {-78}
C) {-76}
D) {76}
6x
-7x + 6 5
+ = - 7
7
7
A) 1
5)
B) - 1
C)
11
13
D) 11
Solve.
6) -0.06y + 0.08(1100 - y) = 0.36y
A) {176}
B) {440}
6)
C) {352}
7) 0.9(12,000) + 0.08p = 0.03(12,000 + p)
A) {-208,800}
B) {-522}
D) {44}
7)
C) {-5220}
D) {-2,088,000}
Decide whether the equation is conditional, an identity, or a contradiction. Give the solution set.
8) 28m + 16 = 4(5m + 22)
A) Contradiction; ∅
B) Conditional; {-13}
C) Identity; {all real numbers}
D) Conditional; {9}
8)
9)
9) 5(2f - 31) = 10f - 155
A) Conditional; {0}
C) Identity; {all real numbers}
B) Identity; ∅
D) Contradiction; ∅
10) 2 3 - (4 - 5r) - r = -8 + 3(2 + 3r)
A) Conditional; {8}
C) Identity; {all real numbers}
B) Contradiction; ∅
D) Conditional; {-4}
10)
1
Provide an appropriate response.
3
11) - = 83
x
11)
o
ou
ts
No
id
No ou
e
he
ou tsid
lp
ts e
No
!!!
id h
e el
ou
he p!
ts
No
lp !!
id
!!!
e
ou
he
ts
No
lp
id
!!!
e
ou
he
ts
No
lp
id
!!!
e
ou
he
ts
No
lp
id
!!!
e
ou
he
ts
lp
id
!!!
e
he
No
lp
!!!
ou
ts
No
id
e
ou
he
ts
No
lp
id
!!!
e
ou
he
ts
No
lp
id
!!!
e
ou
he
ts
lp
id
!
e
Is this a linear equation?
A) Yes
B) No
12) 5x2 - 7 = 3x
Is this a linear equation?
A) Yes
12)
B) No
Solve the formula for the specified variable.
1
13) A = bh for b
2
A) b = 14) I = A
2h
B) b = 13)
2A
h
C) b = Ah
2
D) b = h
2A
nE
for n
nr + R
A) n = -IR
Ir - E
14)
B) n = -R
Ir - E
C) n = IR(Ir - E)
D) n = IR
Ir + E
15)
15) P = s 1 + s 2 + s 3 for s 3
A) s 3 = P + s 1 + s 2
B) s 3 = s 1 + P - s 2
C) s 3 = P - s 1 - s 2
D) s 3 = s 1 + s 2 - P
16) A = P(1 + nr) for r
A
A) r = n
P - A
B) r = Pn
Pn
C) r = A - P
A - P
D) r = Pn
16)
Solve the equation for the specified variable.
17) 4k + ar = r - 7y for r
4k + a
-4k - a
A) r = or r = 1 - 7y
7y - 1
C) r = 18) c = 17)
4k + 7y
-4k - 7y
B) r = or r = a - 1
1 - a
4k + 7y
-4k - 7y
or r = a - 1
1 - a
D) r = a - 1
1 - a
or r = 4k + 7y
-4k - 7y
9t + 8
for t
t
18)
A) t = c + 9
-c - 9
or t = 8
-8
B) t = 8
-8
or t = c - 9
-c + 9
C) t = 17
-17
or t = c
-c
D) t = 8
-8
or t = c - 9
-c + 9
Solve the problem.
19) Jay drove 280 kilometers at the average rate of 70 kilometers per hour. How long did the trip take?
1
A) 3 hr
B) 4 hr
C) 5 hr
D) hr
4
2
19)
20) A circle has a circumference of 28π meters. What is the radius of the circle?
A) 28 m
B) 14 m
C) 7 m
20)
D) 4 m
21)
22) Find the simple interest if $3200 is borrowed at 16.8% for 9 months (0.75 yr).
A) $142.86
B) $40,320.00
C) $716.80
22)
D) $403.20
23) A chemical solution contains 4% salt. How much salt is in 4.5 ml of solution?
A) 1.8 ml
B) 112.5 ml
C) 11.25 ml
D) 0.18 ml
o
ou
ts
No
id
No ou
e
he
ou tsid
lp
ts e
No
!!!
id h
e el
ou
he p!
ts
No
lp !!
id
!!!
e
ou
he
ts
No
lp
id
!!!
e
ou
he
ts
No
lp
id
!!!
e
ou
he
ts
No
lp
id
!!!
e
ou
he
ts
lp
id
!!!
e
he
No
lp
!!!
ou
ts
No
id
e
ou
he
ts
No
lp
id
!!!
e
ou
he
ts
No
lp
id
!!!
e
ou
he
ts
lp
id
!
e
21) Janet drove 365 kilometers and the trip took 5 hours. How fast was Janet traveling?
1
km/hr
D) 1825 km/hr
A) 74 km/hr
B) 73 km/hr
C)
73
23)
24) A mixture of chlorine and water contains a total of 47 gallons of liquid. There are 33 gallons of
pure chlorine in the mixture. (i) What percent of the mixture is water? (ii) What percent of the
mixture is chlorine? Round to the nearest percent, if necessary.
A) (i) 33% water; (ii) 67% chlorine
B) (i) 57% water; (ii) 43% chlorine
D) (i) 70% water; (ii) 30% chlorine
C) (i) 30% water; (ii) 70% chlorine
24)
25) By switching service providers, a familyʹs telephone bill decreased from $50 a month to $43. What
was the percent decrease in their phone bill?
A) 14%
B) 16.3%
C) 15%
D) 7%
25)
26) Last year, Maria earned $342 per week. This year, her salary increased to $359 per week. To the
nearest tenth, what was the percent increase?
A) 95.3%
B) 5%
C) 95%
D) 4.7%
26)
27) A book with a list price of $64.99 is on sale for a price of $50.99. To the nearest tenth, what is the
percent discount?
A) 2.2%
B) 21.5%
C) 2.7%
D) 27.5%
27)
Translate the verbal phrase into a mathematical expression. Use x to represent the unknown number.
28) The difference of a number and 15.5
A) x + 15.5
B) 15.5x
C) 15.5
D) x - 15.5
29) The quotient of a number and 66
x
A)
B) 66x
66
28)
29)
Translate as an inequality. Use x to represent the number.
30) -23 is less than a number.
A) -23 > x
B) -23 ≤ x
C) 66 - x
D) 66 + x
C) -23 < x
D) -23 - x
C) 15 ≤ x
D) x ≥ 15
30)
31) A number is less than or equal to 15.
A) x ≤ 15
B) x < 15
31)
3
o
ou
ts
No
id
No ou
e
he
ou tsid
lp
ts e
No
!!!
id h
e el
ou
he p!
ts
No
lp !!
id
!!!
e
ou
he
ts
No
lp
id
!!!
e
ou
he
ts
No
lp
id
!!!
e
ou
he
ts
No
lp
id
!!!
e
ou
he
ts
lp
id
!!!
e
he
No
lp
!!!
ou
ts
No
id
e
ou
he
ts
No
lp
id
!!!
e
ou
he
ts
No
lp
id
!!!
e
ou
he
ts
lp
id
!
e
Use the variable x for the unknown. Write an equation representing the verbal sentence and solve the problem.
32) Four times a number added to 9 times the number equals 52.
32)
A) 4x + 9x = 52; 4
B) 4(x + 9) = 52x; 0.8
C) 4x(9 + x) = 52; 5.8
D) 4x - 9x = 52; -5.8
33) When 40% of a number is subtracted from 40, the result is 1 less than the number. Round to the
nearest whole number, if necessary.
A) 0.4x - 40 = x - 1; -28
B) 40 - 0.4x = x - 1; 29
C) 40 - 40x = x - 1; 1
D) 40 - 0.4x = 1 - x; -28
Solve the problem.
34) In a recent school board election, the two candidates for president received 2415 votes. The loser
received 275 fewer votes than the winner. How many votes did the winner receive?
A) 1070 votes
B) 1345 votes
C) 2140 votes
D) 810 votes
Solve the percent problem.
35) If Gloria received a 11 percent raise and is now making $24,420 a year, what was her salary before
the raise?
A) $22,420
B) $23,000
C) $23,420
D) $22,000
Solve the problem.
36) The graph shows the percent of students at a local high school who were enrolled in a foreign
language class each school year during the 1980s.
33)
34)
35)
36)
Using an estimate of the percentage to the nearest percent, what is the best estimate for the number
of students taking a language in 1984 if a total of 3730 students were enrolled in the school?
A) 1380 students
B) 38 students
C) 2350 students
D) 3350 students
Solve the percent problem.
37) After receiving a discount of 14.5% on its bulk order of typewriter ribbons, Johnʹs Office Supply
pays $4617. What was the price of the order before the discount?
A) $3948
B) $5286
C) $5400
D) $4178
38) Midtown Antiques collects 3% sales tax on all sales. If total sales including tax are $1006.52, find
the portion that is the tax.
A) $30.20
B) $977.20
C) $19.32
D) $29.32
Solve the mixture problem.
39) How many liters of a 30% alcohol solution must be mixed with 20 liters of a 70% solution to get a
40% solution?
A) 80 liters
B) 60 liters
C) 6 liters
D) 8 liters
4
37)
38)
39)
40)
ts
No
id
No ou
e
he
ou tsid
lp
ts e
No
!!!
id h
e el
ou
he p!
ts
No
lp !!
id
!!!
e
ou
he
ts
No
lp
id
!!!
e
ou
he
ts
No
lp
id
!!!
e
ou
he
ts
No
lp
id
!!!
e
ou
he
ts
lp
id
!!!
e
he
No
lp
!!!
ou
ts
No
id
e
ou
he
ts
No
lp
id
!!!
e
ou
he
ts
No
lp
id
!!!
e
ou
he
ts
lp
id
!
e
40) In a chemistry class, 8 liters of a 4% silver iodide solution must be mixed with a 10% solution to get
a 6% solution. How many liters of the 10% solution are needed?
A) 8 liters
B) 3 liters
C) 5 liters
D) 4 liters
Solve the problem.
41) A convention manager finds that she has $1460, made up of twenties and fifties. She has a total of
46 bills. How many fifty-dollar bills does the manager have?
A) 18
B) 12
C) 46
D) 28
41)
42)
o
ou
42) Find the measures of the supplementary angles.
A) 54° and 18°
B) 133° and 43°
C) 43° and 47°
D) 133° and 47°
43) Find the measures of the complementary angles.
A) 36° and 108°
43)
B) 36° and 54°
C) 126° and 54°
D) 36° and 144°
44) Find the measure of each angle in the triangle.
44)
A) 56°, 125° and 21°
C) 45°, 24° and 21°
B) 34°, 125° and 21°
D) 65°, 65° and 13°
45) Find the measures of the vertical angles.
(105 - 9n)°
A) 105° and 105°
45)
(15 + 6n)°
B) 15° and 15°
C) 51° and 51°
5
D) 6° and 6°
46)
o
ou
ts
No
id
No ou
e
he
ou tsid
lp
ts e
No
!!!
id h
e el
ou
he p!
ts
No
lp !!
id
!!!
e
ou
he
ts
No
lp
id
!!!
e
ou
he
ts
No
lp
id
!!!
e
ou
he
ts
No
lp
id
!!!
e
ou
he
ts
lp
id
!!!
e
he
No
lp
!!!
ou
ts
No
id
e
ou
he
ts
No
lp
id
!!!
e
ou
he
ts
No
lp
id
!!!
e
ou
he
ts
lp
id
!
e
46) Find the measures of the complementary angles.
A) 40° and 50°
B) 80° and 100°
C) 20° and 25°
Solve the problem involving consecutive integers.
47) The sum of three consecutive even integers is 210. Find the integers.
A) 63, 64, 65
B) 72, 74, 76
C) 70, 72, 74
48) The sum of two consecutive integers is -389. Find the larger integer.
A) -195
B) -196
C) -194
D) 45° and 45°
47)
D) 68, 70, 72
48)
D) -193
49) If three times the smaller of two consecutive integers is added to four times the larger, the result is
102. Find the smaller integer.
A) 15
B) 13
C) 42
D) 14
49)
50) If the first and third of three consecutive odd integers are added, the result is 51 less than five times
the second integer. Find the third integer.
A) 15
B) 19
C) 34
D) 17
50)
6