Ma411 Final Exam Review: Linear Equations

No Solution ( inconsistent)

5x - (3x + 2) = -x + 7 + 3x - 5

3

8x - (2x + 1) = -3x + 7 + 7x - 2

Infinite solutions (identity)

8x + 4 - 5x - 2 = 5x - (2x - 2)

C(x) = 25x + 130

A family is researching... One company charges $25 per person and $130 for the tour guide. Which function represents the total cost for x family members?

C(x) = 15x + 85

The senior class is organizing... One company charges $85 to design and produce the shirts and $15 per shirt. Which function represents the total cost for x t-shirts?

C(x) = 85x + 15

Adrianna is taking singing lessons. She has to pay an application fee of $15 and then she pays $85 per lesson. Write an equation to represent the total cost for x lessons.

C(x) = 130x + 25

Joseph is signing up for personal training sessions at the gym. He is required to pay a start up fee of $25 and $130 per session. Write an equation to represent the total cost for x sessions.

5.4

What is the average rate of change of the area from the original photo to the fourth enlargement? (question 3a on worksheet)

68

Determine the average rate of change between hour 2 and hour 7. (question 3b on worksheet)

y = -2x + 7

Write the equation of a line that passes through (1,5) and has a slope of -2.

y = -3x + 6

Write the equation of a line that passes through (4, -6) and has a slope of -3.

y = -4x + 17

Write the equation of a line that passes through (3,5) and has a slope of -4.