FULL CHAPTERS TESTBANK for Precalculus, 4th Edition Cynthia Y. Young [ Instant Download TESTBANK ]

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,Precalculus, 4e (Young)
Chapter 0 Review: Equations and Inequalities

0.1 Linear Equations

1) Juan uses a 10% off total purchase coupon at his local supermarket. His checkout price
before tax is $103.75. How much would he have paid without the coupon?
A) $126.81
B) $115.28
C) $125.28
D) $115.38
Answer: B
Diff: 2 Var: 1
Chapter/Section: Ch 00, Sec 01

2) Lucas, Rebecca, and Brandon order a large pizza. They decide to split the cost according to
how much they will eat. Brandon pays $2.32, Rebecca eats 1/6 of the pizza, and Lucas eats 4/7
of the pizza. How much did the pizza cost?
A) $8.86
B) $0.61
C) $4.06
D) $1.58
Answer: A
Diff: 2 Var: 1
Chapter/Section: Ch 00, Sec 01

3) A college bookstore marks up the price it pays the publisher for a book by 25%. If the selling
price of a book is $82, how much did the bookstore pay for the book?
A) $102.50
B) $20.50
C) $328.00
D) $65.60
Answer: D
Diff: 2 Var: 1
Chapter/Section: Ch 00, Sec 01

4) A builder of tract homes reduced the price of a model by 15%. If the new price is $167,170,
what was its original price?
A) $167,170.15
B) $196,670.59
C) $142,094.50
D) $192,245.50
Answer: B
Diff: 3 Var: 1
Chapter/Section: Ch 00, Sec 01



1

,5) A company has a total of $11,750 allocated for monthly costs. Fixed costs are $6650 a
month and variable costs are $13 per unit. How many units can be manufactured a month?
A) 904
B) 512
C) 392
D) 1415
Answer: C
Diff: 3 Var: 1
Chapter/Section: Ch 00, Sec 01

6) Lacie decides to start a small business making monogrammed towels. She can set aside
$4670 for monthly costs. Fixed costs are $1800 per month and variable costs are $4 per set of
towels. How many sets of towels can she afford to make per month?
A) 1617
B) 1167
C) 450
D) 717
Answer: D
Diff: 3 Var: 1
Chapter/Section: Ch 00, Sec 01

7) Find the perimeter of a triangle if one side is 35 feet, another side is 1/4 of the perimeter, and
the third side is 1/3 of the perimeter. Round your answer to 2 decimal places.
A) 35.58 feet
B) 84.00 feet
C) 20.42 feet
D) 105 feet
Answer: B
Diff: 2 Var: 1
Chapter/Section: Ch 00, Sec 01

8) The length of a rectangle is 9 more feet than 4 times its width. The perimeter of the rectangle
is 358 feet. What is the length of the rectangle?
A) 145 feet
B) 94 feet
C) 143 feet
D) 90 feet
Answer: A
Diff: 2 Var: 1
Chapter/Section: Ch 00, Sec 01




2

,9) William has $14,550 to invest and decides to put some in a CD that earns 2.25% interest per
year and the rest in a low risk stock that earns 3.4%. How much did he invest to earn $395.225
interest in the first year?
A) $6995.13 at 2.25% and $7554.87 at 3.4%
B) $5900 at 2.25% and $8650 at 3.4%
C) $8650 at 2.25% and $5900 at 3.4%
D) $7554.87 at 2.25% and $6995.13 at 3.4%
Answer: C
Diff: 3 Var: 1
Chapter/Section: Ch 00, Sec 01

10) BJ bought ham and cheese at the deli. The ham costs $6.50 per pound and the cheese costs
$4.90 per pound. In total, BJ bought 7.6 pounds and the price was $40.6. How many pounds
of each did BJ buy?
A) 2.10 pounds of ham and 5.5 pounds of cheese
B) 5.5 pounds of ham and 2.10 pounds of cheese
C) 3.56 pounds of ham and 3.56 pounds of cheese
D) 6.83 pounds of ham and 0.77 pounds of cheese
Answer: A
Diff: 3 Var: 1
Chapter/Section: Ch 00, Sec 01

11) A motorboat can maintain a constant speed of 12 miles per hour relative to the water. The
boat makes a trip upstream in 42 minutes and the return trip takes 21 minutes. What is the
speed of the current?
A) 0.3 mph
B) 12 mph
C) 4.0 mph
D) 24 mph
Answer: C
Diff: 3 Var: 1
Chapter/Section: Ch 00, Sec 01

12) Lee can mow a lawn in 10 minutes. It takes Ito 60 minutes to mow a lawn of the same size.
How long would it take them to mow the lawn if they work together?
A) 35.0 minutes
B) 50 minutes
C) 8.6 minutes
D) 70 minutes
Answer: C
Diff: 2 Var: 1
Chapter/Section: Ch 00, Sec 01




3

,13) Aleshia's test scores are 76, 83, 95, and 89. The final will count as two tests. What score
does Aleshia need on the final to have an average score of 80?
A) 28.5
B) 68.5
C) 57
D) 80
Answer: B
Diff: 2 Var: 1
Chapter/Section: Ch 00, Sec 01

14) A college bookstore marks up the price it pays the publisher for a book by 23%. If the
selling price of the book is $107.01, how much did the bookstore pay for the book?
Answer: $87
Diff: 2 Var: 1
Chapter/Section: Ch 00, Sec 01

15) The length of a rectangle is 4 feet more than 4 times its width. The perimeter of the
rectangle is 148 feet. What is the length of the rectangle?
Answer: 60 feet
Diff: 2 Var: 1
Chapter/Section: Ch 00, Sec 01

16) The Parsons budgeted $147.00 to landscape their yard with trees and shrubs. Trees each
cost $16.50 and shrubs each cost $9.50. Combined they planted a total of 14 trees and shrubs.
How many of each did they plant in their yard?
Answer: 2 trees, and 12 shrubs
Diff: 3 Var: 1
Chapter/Section: Ch 00, Sec 01

17) For a certain experiment, a student requires 20 mL of a solution that is 11% HCl
(hydrochloric acid). The store-room has only solutions that are 8% HCl and 12% HCl. How
many milliliters of each available solution should be mixed to get 20 mL of 11% HCl?
Answer: 5 mL of 8% HCl and 15 mL of 12% HCl solutions
Diff: 2 Var: 1
Chapter/Section: Ch 00, Sec 01

18) An investor has $16,300 to split between two investments. The first investment earns a
return of 4.2% annually and the second investment earns a return of 3.6% annually. If the total
gain on the investment in the first year is $601.20, how much was put into each investment?
(Assume the full $16,300 was invested.)
Answer: Investment 1: $2400
Investment 2: $13,900
Diff: 2 Var: 1
Chapter/Section: Ch 00, Sec 01




4

,19) A jogger and a walker travel the same distance. The jogger finishes in 44 minutes. The
walker takes 77 minutes. How fast is each exerciser moving if the jogger runs 3 miles per hour
faster than the walker?
Answer: Jogger 7 mph
Walker 4 mph
Diff: 2 Var: 1
Chapter/Section: Ch 00, Sec 01

20) Find a number such that 22 less than the number is the number.
Answer: 84
Diff: 1 Var: 1
Chapter/Section: Ch 00, Sec 01

21) Find two consecutive odd integers such that the sum of the integers is equal to 41 less than 5
times the larger integer.
Answer: 11 and 13
Diff: 1 Var: 1
Chapter/Section: Ch 00, Sec 01




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5

,Precalculus, 4e (Young)
Chapter 0 Review: Equations and Inequalities

0.2 Quadratic Equations

1) Solve by factoring.
+ 2x = 48
A) {-6, 8}
B) {6, -8}
C) {-6, -8}
D) {6, 8}
Answer: B
Diff: 2 Var: 1
Chapter/Section: Ch 00, Sec 02

2) Solve by factoring.
3 + 20 = 19x
A) {-4/3, 5}
B) {4/3, 5}
C) {3/4, 5}
D) {-3/4, 5}
Answer: B
Diff: 2 Var: 1
Chapter/Section: Ch 00, Sec 02

3) Solve by factoring.
=9
A) {-3, 3}
B) {-3}
C) {3}
D) {9, -9}
Answer: A
Diff: 1 Var: 1
Chapter/Section: Ch 00, Sec 02

4) Solve by factoring.
5x + =9

A) {-4/5, -1}
B) {5/4, 1}
C) {4/5, 1}
D) {-5/4, -1}
Answer: C
Diff: 2 Var: 1
Chapter/Section: Ch 00, Sec 02

1

,5) Solve using the square root method.
= 25
A)


B)


C)

D)
Answer: B
Diff: 2 Var: 1
Chapter/Section: Ch 00, Sec 02

6) Solve using the square root method.
= 15
A) {1 + ,1- }
B) {-1 + }
C) {-1, }
D) {-1 + , -1 - }
Answer: D
Diff: 2 Var: 1
Chapter/Section: Ch 00, Sec 02

7) Solve using the square root method.
= -49
A) {10 + 7i, 10 - 7i}
B) {10 + 7i}
C) {17}
D) {17, 3}
Answer: A
Diff: 2 Var: 1
Chapter/Section: Ch 00, Sec 02

8) What number should be added to complete the square of the expression?
+ 2.9x
A) 2.1025
B) 1.45
C) 5.8
D) 8.41
Answer: A
Diff: 2 Var: 1
Chapter/Section: Ch 00, Sec 02


2

, 9) What number should be added to complete the square of the expression?
- 7x
A) 49
B) 7/2
C) 49/4
D) 14
Answer: C
Diff: 2 Var: 1
Chapter/Section: Ch 00, Sec 02

10) What number should be added to complete the square of the expression?
+ x

A) 9/100
B) 9/25
C) 3/100
D) 3/25
Answer: A
Diff: 2 Var: 1
Chapter/Section: Ch 00, Sec 02

11) Solve using the quadratic formula.
36 - 84y - 223 = 0

A)


B)


C)


D)

Answer: A
Diff: 2 Var: 1
Chapter/Section: Ch 00, Sec 02




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