(Chapters 1–9) | Complete Solutions, Practice Questions &
Verified Answers (2026–2027 Exam Prep Guide)
All chapters covered
1
,Chapter 1 n Equations and Inequalities n n
1.1 Linear Equations n
1) Solve the equation. n n
-56x - 54 = 10 - 60x
n n n n n n
A) 16
B) 64
C) -116
D) 60
Answer: A n n
Diff: 1 Var: 1
n n
Chapter/Section: Ch 01, Sec 01 n n n n n
Learning Objective: Solve linear equations in one variable.
n n n n n n n n
2) Solve the equation. n n
25c + 2 = 7 + 22c
n n n n n n
A) 9/47
B) 38
C) 5/3
D) 56
Answer: C n n
Diff: 1 Var: 1n n
Chapter/Section: Ch 01, Sec 01 n n n n n
Learning Objective: Solve linear equations in one variable.
n n n n n n n n
3) Solve the equation. n n
5(x - 3) - 5 = x - 3(x - 2)
n n n n n n n n n n
A) 7/26
B) 6/7
C) 26/7
D) 7/6
Answer: C n n
Diff: 2 Var: 1
n n
Chapter/Section: Ch 01, Sec 01 n n n n n
Learning Objective: Solve linear equations in one variable.
n n n n n n n n
2
,4) Solve the equation. n n n
n = n n +5 n
A) -5/4
B) -1/9
C) -9
D) -150/19
Answer: D n n
Diff: 2 Var: 1n n
Chapter/Section: Ch 01, Sec 01 n n n n n
Learning Objective: Solve linear equations in one variable.
n n n n n n n n
Specify the values that must be excluded from the solution set.
n n n n n n n n n n n
5)
n -1= n n n
A) 0 and 9 n n
B) 9
C) 0
D) -9
Answer: A n n
Diff: 1 Var: 1n n
Chapter/Section: Ch 01, Sec 01 n n n n n
Learning Objective: Solve rational equations that are reducible to linear equations.
n n n n n n n n n n n
6) Specify the values that must be excluded from the solution set.
n n n n n n n n n n n
n - n n = n
A) -20
B) -7 and 20 n n
C) 7 and -20 n n
D) 7, 23, and -20n n n
Answer: C n n
Diff: 1 Var: 1
n n
Chapter/Section: Ch 01, Sec 01 n n n n n
Learning Objective: Solve rational equations that are reducible to linear equations.
n n n n n n n n n n n
3
, 7) Specify the values that must be excluded from the solution set.
n n n n n n n n n n n
n - n n = n
A) -26
B) 26 and -19/8 n n
C) -26 and 8/19 n n
D) -26, 25 and 8/19 n n n
Answer: C n n
Diff: 2 Var: 1
n n
Chapter/Section: Ch 01, Sec 01 n n n n n
Learning Objective: Solve rational equations that are reducible to linear equations.
n n n n n n n n n n n
8) Specify the values that must be excluded from the solution set.
n n n n n n n n n n
= -9 n
A) 0 and 29
n n
B) 0
C) 29
D) -9
Answer: A n n
Diff: 2 Var: 1
n n
Chapter/Section: Ch 01, Sec 01 n n n n n
Learning Objective: Solve rational equations that are reducible to linear equations.
n n n n n n n n n n n
Solve the equation. n n n
9)
n =5- n n n
A) 75/29
B) 21/75
C) 29/75
D) 4/5
Answer: C n n
Diff: 2 Var: 1
n n
Chapter/Section: Ch 01, Sec 01 n n n n n
Learning Objective: Solve rational equations that are reducible to linear equations.
n n n n n n n n n n n
4