Cynthia Y. Young
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,College Algebra, 5e (Young)
Chapter 1 Equations and Inequalities
1.1 Linear Equations
1) Solve the equation.
-56x - 54 = 10 - 60x
A) 16
B) 64
C) -116
D) 60
Answer: A
Diff: 1 Var: 1
Chapter/Section: Ch 01, Sec 01
Learning Objective: Solve linear equations in one variable.
2) Solve the equation.
25c + 2 = 7 + 22c
A) 9/47
B) 38
C) 5/3
D) 56
Answer: C
Diff: 1 Var: 1
Chapter/Section: Ch 01, Sec 01
Learning Objective: Solve linear equations in one variable.
3) Solve the equation.
5(x - 3) - 5 = x - 3(x - 2)
A) 7/26
B) 6/7
C) 26/7
D) 7/6
Answer: C
Diff: 2 Var: 1
Chapter/Section: Ch 01, Sec 01
Learning Objective: Solve linear equations in one variable.
1
,4) Solve the equation.
= +5
A) -5/4
B) -1/9
C) -9
D) -150/19
Answer: D
Diff: 2 Var: 1
Chapter/Section: Ch 01, Sec 01
Learning Objective: Solve linear equations in one variable.
5) Specify the values that must be excluded from the solution set.
-1=
A) 0 and 9
B) 9
C) 0
D) -9
Answer: A
Diff: 1 Var: 1
Chapter/Section: Ch 01, Sec 01
Learning Objective: Solve rational equations that are reducible to linear equations.
6) Specify the values that must be excluded from the solution set.
- =
A) -20
B) -7 and 20
C) 7 and -20
D) 7, 23, and -20
Answer: C
Diff: 1 Var: 1
Chapter/Section: Ch 01, Sec 01
Learning Objective: Solve rational equations that are reducible to linear equations.
2
,7) Specify the values that must be excluded from the solution set.
- =
A) -26
B) 26 and -19/8
C) -26 and 8/19
D) -26, 25 and 8/19
Answer: C
Diff: 2 Var: 1
Chapter/Section: Ch 01, Sec 01
Learning Objective: Solve rational equations that are reducible to linear equations.
8) Specify the values that must be excluded from the solution set.
= -9
A) 0 and 29
B) 0
C) 29
D) -9
Answer: A
Diff: 2 Var: 1
Chapter/Section: Ch 01, Sec 01
Learning Objective: Solve rational equations that are reducible to linear equations.
9) Solve the equation.
=5-
A) 75/29
B) 21/75
C) 29/75
D) 4/5
Answer: C
Diff: 2 Var: 1
Chapter/Section: Ch 01, Sec 01
Learning Objective: Solve rational equations that are reducible to linear equations.
3
,10) Solve the equation.
=
A) no solution
B) 19/20
C) 21/20
D) 1/20
Answer: C
Diff: 2 Var: 1
Chapter/Section: Ch 01, Sec 01
Learning Objective: Solve rational equations that are reducible to linear equations.
11) Solve the equation.
=
A) 1/5
B) 5
C) -5
D) -1/5
Answer: D
Diff: 2 Var: 1
Chapter/Section: Ch 01, Sec 01
Learning Objective: Solve rational equations that are reducible to linear equations.
12) Solve the equation.
=6
A) 1
B) 10
C) 5
D) None of the above
Answer: D
Diff: 3 Var: 1
Chapter/Section: Ch 01, Sec 01
Learning Objective: Solve rational equations that are reducible to linear equations.
13) Solve 2n + 10= 17- 5n.
Answer: 1
Diff: 1 Var: 1
Chapter/Section: Ch 01, Sec 01
Learning Objective: Solve linear equations in one variable.
4
,14) Solve = - 140.
Answer: -100
Diff: 2 Var: 1
Chapter/Section: Ch 01, Sec 01
Learning Objective: Solve linear equations in one variable.
15) Specify any values that must be excluded from the solution set and then solve the equation.
=2
Answer: Exclude {0, 1/17}, the solution set is {1/51} or x = 1/51
Diff: 3 Var: 1
Chapter/Section: Ch 01, Sec 01
Learning Objective: Solve rational equations that are reducible to linear equations.
16) Solve.
38 - [8 + 12x - 15(x + 5)] = 3(6x + 11) - [8(4x - 1) + 2 - 19x]
Answer: 41
Diff: 2 Var: 1
Chapter/Section: Ch 01, Sec 01
Learning Objective: Solve linear equations in one variable.
17) When traveling in London, Florence decided to check her e-mail at an internet café. There
was a flat charge of $3.00 plus a charge of 19 cents a minute. How many minutes was she
logged on if her bill was $5.85?
Answer: 15 minutes
Diff: 2 Var: 1
Chapter/Section: Ch 01, Sec 01
Learning Objective: Solve linear equations in one variable.
18) Solve -8z = -80 for z.
A) 10
B) 640
C) -88
D) -72
Answer: A
Diff: 1 Var: 1
Chapter/Section: Ch 01, Sec 01
Learning Objective: Solve linear equations in one variable.
5
,19) Solve -12u = -3 for u.
A) 4
B) 36
C)
D) -9
Answer: C
Diff: 1 Var: 1
Chapter/Section: Ch 01, Sec 01
Learning Objective: Solve linear equations in one variable.
20) Solve -8w - 8 = 64 for w.
A) 80
B) -9
C) 48
D) 72
Answer: B
Diff: 1 Var: 1
Chapter/Section: Ch 01, Sec 01
Learning Objective: Solve linear equations in one variable.
21) Solve x=- x + 9 for x.
A) -12
B)
C) 12
D) -
Answer: C
Diff: 2 Var: 1
Chapter/Section: Ch 01, Sec 01
Learning Objective: Solve linear equations in one variable.
22) The perimeter, P, of a rectangle is the distance around it, and can be found by solving the
formula P = 2l + 2w, where l is the length and w is the width. What is the length of a rectangle
whose perimeter is 30 inches and whose width is 3 inches?
A) 15 inches
B) 12 inches
C) 24 inches
D) 10 inches
Answer: B
Diff: 2 Var: 1
Chapter/Section: Ch 01, Sec 01
Learning Objective: Solve linear equations in one variable.
6
,23) Solve 7q = 56 for q.
Answer: q = 8
Diff: 1 Var: 1
Chapter/Section: Ch 01, Sec 01
Learning Objective: Solve linear equations in one variable.
24) The perimeter, P, of a rectangle is the distance around it, and can be found by solving the
formula where l is the length and w is the width. What is the length of a rectangle
whose perimeter is 102 inches and whose width is 23 inches?
Answer: 28 inches
Diff: 2 Var: 1
Chapter/Section: Ch 01, Sec 01
Learning Objective: Solve linear equations in one variable.
25) The area, A, of a rectangle is the amount of two-dimensional space it takes up and can be
found by solving the formula where l is the length and w is the width. What is the
length of a rectangle whose area is 80 square inches and whose width is 8 inches?
A) 72 inches
B) 64 inches
C) 8 inches
D) 10 inches
Answer: D
Diff: 2 Var: 1
Chapter/Section: Ch 01, Sec 01
Learning Objective: Solve linear equations in one variable.
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7
, College Algebra, 5e (Young)
Chapter 1 Equations and Inequalities
1.2 Applications Involving 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 01, Sec 02
Learning Objective: Solve application problems involving common formulas.
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 01, Sec 02
Learning Objective: Solve application problems involving common formulas.
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 01, Sec 02
Learning Objective: Solve application problems involving common formulas.
1