WGU D771 Quantitative Literacy |
OA | Objective Assessment |
Questions and Answers |Latest
2025/26 Update | 100% Correct.
Course
D771
1. Percent Increase
A laptop originally costs $800. Its price increases by 15%. What is the new price?
A. $815
B. $900
C. $920
D. $940
Answer: C. $920
Rationale:
15% of $800 = $120.
$800 + $120 = $920.
2. Percent Decrease
A jacket originally costs $120 and is discounted by 25%. What is the sale price?
A. $30
B. $75
C. $90
D. $95
Answer: C. $90
Rationale:
25% of $120 = $30.
$120 − $30 = $90.
3. Simple Interest
,A student deposits $2,000 into an account earning 4% simple annual interest. How much
interest will be earned after 3 years?
A. $80
B. $160
C. $240
D. $320
Answer: C. $240
Rationale:
Use I=PrtI=Prt.
I=(2,000)(0.04)(3)=$240I=(2,000)(0.04)(3)=\$240.
4. Compound Interest
An investment of $1,000 earns 5% interest compounded annually. What will the account
balance be after 2 years?
A. $1,050
B. $1,100
C. $1,102.50
D. $1,125
Answer: C. $1,102.50
Rationale:
A=P(1+r)tA=P(1+r)^t.
A=1000(1.05)2=$1,102.50A=1000(1.05)^2=\$1,102.50.
5. Linear Equation
A taxi charges a $4 starting fee plus $2.50 per mile. Which equation represents the total cost CC
for mm miles?
A. C=4m+2.50C=4m+2.50
B. C=2.50m+4C=2.50m+4
C. C=6.50mC=6.50m
D. C=4m−2.50C=4m-2.50
Answer: B. C=2.50m+4C=2.50m+4
,Rationale:
The fixed fee is $4, while $2.50 is charged for each mile. Therefore, total cost is $2.50 per mile
plus $4.
6. Solving a Linear Equation
Solve:
3x+7=253x+7=25
A. 4
B. 6
C. 8
D. 10
Answer: B. 6
Rationale:
Subtract 7:
3x=183x=18
Divide by 3:
x=6x=6.
7. Slope
A line passes through the points (2,5)(2,5) and (6,13)(6,13). What is its slope?
A. 1
B. 2
C. 3
D. 4
Answer: B. 2
Rationale:
m=13−56−2=84=2m=\frac{13-5}{6-2}=\frac84=2
The slope is 2.
, 8. Function Evaluation
Given:
f(x)=3x2−2f(x)=3x^2-2
What is f(2)f(2)?
A. 6
B. 8
C. 10
D. 12
Answer: C. 10
Rationale:
f(2)=3(22)−2=3(4)−2=12−2=10f(2)=3(2^2)-2=3(4)-2=12-2=10
9. Proportions
A recipe requires 3 cups of flour for every 2 cups of sugar. How much flour is needed when 6
cups of sugar are used?
A. 6 cups
B. 8 cups
C. 9 cups
D. 12 cups
Answer: C. 9 cups
Rationale:
32=x6\frac{3}{2}=\frac{x}{6}
2x=182x=18, so x=9x=9.
10. Unit Conversion
A vehicle travels 60 miles per hour. Approximately how many miles does it travel in 2.5 hours?
A. 120 miles
B. 135 miles
OA | Objective Assessment |
Questions and Answers |Latest
2025/26 Update | 100% Correct.
Course
D771
1. Percent Increase
A laptop originally costs $800. Its price increases by 15%. What is the new price?
A. $815
B. $900
C. $920
D. $940
Answer: C. $920
Rationale:
15% of $800 = $120.
$800 + $120 = $920.
2. Percent Decrease
A jacket originally costs $120 and is discounted by 25%. What is the sale price?
A. $30
B. $75
C. $90
D. $95
Answer: C. $90
Rationale:
25% of $120 = $30.
$120 − $30 = $90.
3. Simple Interest
,A student deposits $2,000 into an account earning 4% simple annual interest. How much
interest will be earned after 3 years?
A. $80
B. $160
C. $240
D. $320
Answer: C. $240
Rationale:
Use I=PrtI=Prt.
I=(2,000)(0.04)(3)=$240I=(2,000)(0.04)(3)=\$240.
4. Compound Interest
An investment of $1,000 earns 5% interest compounded annually. What will the account
balance be after 2 years?
A. $1,050
B. $1,100
C. $1,102.50
D. $1,125
Answer: C. $1,102.50
Rationale:
A=P(1+r)tA=P(1+r)^t.
A=1000(1.05)2=$1,102.50A=1000(1.05)^2=\$1,102.50.
5. Linear Equation
A taxi charges a $4 starting fee plus $2.50 per mile. Which equation represents the total cost CC
for mm miles?
A. C=4m+2.50C=4m+2.50
B. C=2.50m+4C=2.50m+4
C. C=6.50mC=6.50m
D. C=4m−2.50C=4m-2.50
Answer: B. C=2.50m+4C=2.50m+4
,Rationale:
The fixed fee is $4, while $2.50 is charged for each mile. Therefore, total cost is $2.50 per mile
plus $4.
6. Solving a Linear Equation
Solve:
3x+7=253x+7=25
A. 4
B. 6
C. 8
D. 10
Answer: B. 6
Rationale:
Subtract 7:
3x=183x=18
Divide by 3:
x=6x=6.
7. Slope
A line passes through the points (2,5)(2,5) and (6,13)(6,13). What is its slope?
A. 1
B. 2
C. 3
D. 4
Answer: B. 2
Rationale:
m=13−56−2=84=2m=\frac{13-5}{6-2}=\frac84=2
The slope is 2.
, 8. Function Evaluation
Given:
f(x)=3x2−2f(x)=3x^2-2
What is f(2)f(2)?
A. 6
B. 8
C. 10
D. 12
Answer: C. 10
Rationale:
f(2)=3(22)−2=3(4)−2=12−2=10f(2)=3(2^2)-2=3(4)-2=12-2=10
9. Proportions
A recipe requires 3 cups of flour for every 2 cups of sugar. How much flour is needed when 6
cups of sugar are used?
A. 6 cups
B. 8 cups
C. 9 cups
D. 12 cups
Answer: C. 9 cups
Rationale:
32=x6\frac{3}{2}=\frac{x}{6}
2x=182x=18, so x=9x=9.
10. Unit Conversion
A vehicle travels 60 miles per hour. Approximately how many miles does it travel in 2.5 hours?
A. 120 miles
B. 135 miles
