Solving Linear Equations: Variable on One
Side/ Variables on Both Sides & Distributive
Property Exam Pretest Questions with
Certified Solutions/ Already Graded A+/ 2024-
2025
Consider the equation 3p - 7 + p = 13. What is the resulting equation
after the first step in the solution
p - 7 = 13 - 3p
2p - 7 = 13
3p - 7 = 13 - p
Page 1 of 16
,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
1.5
2.75 - Answer: 1.5
Page 2 of 16
, Which input value produces the same output value for the two
functions?
x = -3
x = -1
x=0
x = 1 - Answer: x=1
Which input value produces the same output value for the two
functions on the graph?
x = −1
x=0
x=1
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
Page 3 of 16
Side/ Variables on Both Sides & Distributive
Property Exam Pretest Questions with
Certified Solutions/ Already Graded A+/ 2024-
2025
Consider the equation 3p - 7 + p = 13. What is the resulting equation
after the first step in the solution
p - 7 = 13 - 3p
2p - 7 = 13
3p - 7 = 13 - p
Page 1 of 16
,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
1.5
2.75 - Answer: 1.5
Page 2 of 16
, Which input value produces the same output value for the two
functions?
x = -3
x = -1
x=0
x = 1 - Answer: x=1
Which input value produces the same output value for the two
functions on the graph?
x = −1
x=0
x=1
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
Page 3 of 16
