COLLEGE ALGEBRA FINAL EXAM 2026
2027 REAL EXAM QUESTIONS VERIFIED
ANSWERS AND DETAILED RATIONALES
COMPLETE 200 QUESTION SUCCESS
COLLECTION
COLLEGE ALGEBRA FINAL EXAM
Multiple Choice Questions
1.
A local business tracks its monthly profit using the equation
P(x)=3x+15P(x)=3x+15P(x)=3x+15, where xxx represents the number of
thousands of products sold and P(x)P(x)P(x) represents profit in
thousands of dollars. If the company sells 8 thousand products during a
particular month, what profit should management expect according to
the model?
A. 24 thousand dollars
B. 39 thousand dollars
C. 42 thousand dollars
D. 48 thousand dollars
Correct Answer: B
Rationale: Substitute x=8x=8x=8:
P(8)=3(8)+15=24+15=39P(8)=3(8)+15=24+15=39P(8)=3(8)+15=24+15
=39.
2.
A student deposits money into a savings account that earns simple
interest. The account balance after several years is represented by the
formula A=P(1+rt)A=P(1+rt)A=P(1+rt). If $5,000 is invested at 4%
interest for 3 years, what is the final balance?
A. $5,400
B. $5,500
,C. $5,600
D. $5,700
Correct Answer: C
Rationale:
A=5000(1+0.04×3)=5000(1.12)=5600A=5000(1+0.04\times3)=5000(1
.12)=5600A=5000(1+0.04×3)=5000(1.12)=5600.
3.
An architect designs a rectangular garden whose length is 5 feet greater
than its width. If the width is represented by www, which expression
correctly represents the area of the garden?
A. w+5w+5w+5
B. 2w+52w+52w+5
C. w(w+5)w(w+5)w(w+5)
D. w2+10w^2+10w2+10
Correct Answer: C
Rationale: Area = length × width = w(w+5)w(w+5)w(w+5).
4.
A manufacturing company models production costs using the quadratic
equation C(x)=x2−6x+8C(x)=x^2-6x+8C(x)=x2−6x+8. Which values of
xxx make the cost function equal to zero?
A. 1 and 8
B. 2 and 4
C. 3 and 5
D. 4 and 6
Correct Answer: B
Rationale: Factor: (x−2)(x−4)=0(x-2)(x-4)=0(x−2)(x−4)=0.
5.
,A college student purchases a laptop for $900 using a financing plan that
requires a 15% down payment. How much money must the student pay
initially?
A. $115
B. $125
C. $135
D. $145
Correct Answer: C
Rationale: 900(0.15)=135900(0.15)=135900(0.15)=135.
6.
A city planner analyzes population growth using the function
P(t)=2000(1.05)tP(t)=2000(1.05)^tP(t)=2000(1.05)t, where ttt
represents years. What type of function is represented?
A. Linear
B. Quadratic
C. Exponential
D. Rational
Correct Answer: C
Rationale: The variable is in the exponent.
7.
A business owner wants to determine the slope of a line passing through
the points (2,5) and (8,17). What is the slope?
A. 1
B. 2
C. 3
D. 4
Correct Answer: B
Rationale: (17−5)/(8−2)=12/6=2(17-5)/(8-
2)=12/6=2(17−5)/(8−2)=12/6=2.
, 8.
A researcher records temperatures over time and finds the relationship
forms a straight line. Which characteristic best describes a linear
function?
A. Constant rate of change
B. Variable rate of change
C. Maximum value only
D. Symmetrical graph
Correct Answer: A
Rationale: Linear functions have a constant slope.
9.
A company's revenue is modeled by R(x)=50x−1000R(x)=50x-
1000R(x)=50x−1000. What revenue is generated when 100 units are
sold?
A. $3,000
B. $4,000
C. $5,000
D. $6,000
Correct Answer: B
Rationale: 50(100)−1000=400050(100)-
1000=400050(100)−1000=4000.
10.
A student solves the equation 2x+7=192x+7=192x+7=19. What value
satisfies the equation?
A. 4
B. 5
C. 6
D. 7
Correct Answer: C
Rationale: 2x=122x=122x=12, so x=6x=6x=6.
2027 REAL EXAM QUESTIONS VERIFIED
ANSWERS AND DETAILED RATIONALES
COMPLETE 200 QUESTION SUCCESS
COLLECTION
COLLEGE ALGEBRA FINAL EXAM
Multiple Choice Questions
1.
A local business tracks its monthly profit using the equation
P(x)=3x+15P(x)=3x+15P(x)=3x+15, where xxx represents the number of
thousands of products sold and P(x)P(x)P(x) represents profit in
thousands of dollars. If the company sells 8 thousand products during a
particular month, what profit should management expect according to
the model?
A. 24 thousand dollars
B. 39 thousand dollars
C. 42 thousand dollars
D. 48 thousand dollars
Correct Answer: B
Rationale: Substitute x=8x=8x=8:
P(8)=3(8)+15=24+15=39P(8)=3(8)+15=24+15=39P(8)=3(8)+15=24+15
=39.
2.
A student deposits money into a savings account that earns simple
interest. The account balance after several years is represented by the
formula A=P(1+rt)A=P(1+rt)A=P(1+rt). If $5,000 is invested at 4%
interest for 3 years, what is the final balance?
A. $5,400
B. $5,500
,C. $5,600
D. $5,700
Correct Answer: C
Rationale:
A=5000(1+0.04×3)=5000(1.12)=5600A=5000(1+0.04\times3)=5000(1
.12)=5600A=5000(1+0.04×3)=5000(1.12)=5600.
3.
An architect designs a rectangular garden whose length is 5 feet greater
than its width. If the width is represented by www, which expression
correctly represents the area of the garden?
A. w+5w+5w+5
B. 2w+52w+52w+5
C. w(w+5)w(w+5)w(w+5)
D. w2+10w^2+10w2+10
Correct Answer: C
Rationale: Area = length × width = w(w+5)w(w+5)w(w+5).
4.
A manufacturing company models production costs using the quadratic
equation C(x)=x2−6x+8C(x)=x^2-6x+8C(x)=x2−6x+8. Which values of
xxx make the cost function equal to zero?
A. 1 and 8
B. 2 and 4
C. 3 and 5
D. 4 and 6
Correct Answer: B
Rationale: Factor: (x−2)(x−4)=0(x-2)(x-4)=0(x−2)(x−4)=0.
5.
,A college student purchases a laptop for $900 using a financing plan that
requires a 15% down payment. How much money must the student pay
initially?
A. $115
B. $125
C. $135
D. $145
Correct Answer: C
Rationale: 900(0.15)=135900(0.15)=135900(0.15)=135.
6.
A city planner analyzes population growth using the function
P(t)=2000(1.05)tP(t)=2000(1.05)^tP(t)=2000(1.05)t, where ttt
represents years. What type of function is represented?
A. Linear
B. Quadratic
C. Exponential
D. Rational
Correct Answer: C
Rationale: The variable is in the exponent.
7.
A business owner wants to determine the slope of a line passing through
the points (2,5) and (8,17). What is the slope?
A. 1
B. 2
C. 3
D. 4
Correct Answer: B
Rationale: (17−5)/(8−2)=12/6=2(17-5)/(8-
2)=12/6=2(17−5)/(8−2)=12/6=2.
, 8.
A researcher records temperatures over time and finds the relationship
forms a straight line. Which characteristic best describes a linear
function?
A. Constant rate of change
B. Variable rate of change
C. Maximum value only
D. Symmetrical graph
Correct Answer: A
Rationale: Linear functions have a constant slope.
9.
A company's revenue is modeled by R(x)=50x−1000R(x)=50x-
1000R(x)=50x−1000. What revenue is generated when 100 units are
sold?
A. $3,000
B. $4,000
C. $5,000
D. $6,000
Correct Answer: B
Rationale: 50(100)−1000=400050(100)-
1000=400050(100)−1000=4000.
10.
A student solves the equation 2x+7=192x+7=192x+7=19. What value
satisfies the equation?
A. 4
B. 5
C. 6
D. 7
Correct Answer: C
Rationale: 2x=122x=122x=12, so x=6x=6x=6.
