Solving Linear Equations: Variable on One
Side/ Variables on Both Sides & Distributive
Property Exam Pretest Questions with
Certified Solutions/ Already Graded A+/ 2024-
2025
Which input value produces the same output value for the two
functions on the graph?
x = −1
x=0
x=1
Page 1 of 16
,x = 2 - Answer: x=1
The Apache Taxi Company charges $2.50 to pick up a passenger and
then adds $1.95 per mile. Isaac was charged $27.46 to go from one city
to another. If x represents the number of miles driven by the taxi, which
linear equation can be used to solve this problem, and how many miles
did Isaac travel, rounded to the nearest tenth?
1.95x + 2.50 = 27.46; Isaac traveled 15.4 miles.
1.95x + 2.50 = 27.46; Isaac traveled 12.8 miles.
2.50x + 1.95 = 27.46; Isaac traveled 11.8 miles.
2.50x + 1.95 = 27.46; Isaac traveled 10.2 miles - Answer:
1.95x+2.50=27.46;isaac traveled 12.8
Consider the equation 3p - 7 + p = 13. What is the resulting equation
after the first step in the solution
p - 7 = 13 - 3p
Page 2 of 16
, 2p - 7 = 13
3p - 7 = 13 - p
4p - 7 = 13 - Answer: 4p-7=13
Mustafa's soccer team is planning a school dance as a fundraiser. The DJ
charges $200 and decorations cost $100. The team decides to charge
each student $5.00 to attend the dance. If n represents the number of
students attending the dance, which equation can be used to find the
number of students needed to make $1,500 in profit
5n - 300 = 1,500
5n + 300 = 1,500
5n - 200 + 100n = 1,500
5n - 100 - 200n = 1,500 - Answer: 5n-300=1,500
What is the input value for which the statement f(x) = g(x) is true?
0.25
0.5
Page 3 of 16
Side/ Variables on Both Sides & Distributive
Property Exam Pretest Questions with
Certified Solutions/ Already Graded A+/ 2024-
2025
Which input value produces the same output value for the two
functions on the graph?
x = −1
x=0
x=1
Page 1 of 16
,x = 2 - Answer: x=1
The Apache Taxi Company charges $2.50 to pick up a passenger and
then adds $1.95 per mile. Isaac was charged $27.46 to go from one city
to another. If x represents the number of miles driven by the taxi, which
linear equation can be used to solve this problem, and how many miles
did Isaac travel, rounded to the nearest tenth?
1.95x + 2.50 = 27.46; Isaac traveled 15.4 miles.
1.95x + 2.50 = 27.46; Isaac traveled 12.8 miles.
2.50x + 1.95 = 27.46; Isaac traveled 11.8 miles.
2.50x + 1.95 = 27.46; Isaac traveled 10.2 miles - Answer:
1.95x+2.50=27.46;isaac traveled 12.8
Consider the equation 3p - 7 + p = 13. What is the resulting equation
after the first step in the solution
p - 7 = 13 - 3p
Page 2 of 16
, 2p - 7 = 13
3p - 7 = 13 - p
4p - 7 = 13 - Answer: 4p-7=13
Mustafa's soccer team is planning a school dance as a fundraiser. The DJ
charges $200 and decorations cost $100. The team decides to charge
each student $5.00 to attend the dance. If n represents the number of
students attending the dance, which equation can be used to find the
number of students needed to make $1,500 in profit
5n - 300 = 1,500
5n + 300 = 1,500
5n - 200 + 100n = 1,500
5n - 100 - 200n = 1,500 - Answer: 5n-300=1,500
What is the input value for which the statement f(x) = g(x) is true?
0.25
0.5
Page 3 of 16
