Name: ____________________
Date: __________ Period: ____
End of Module 4 Study Guide
1. What value of x makes this statement true?
6. Write the equation of the graph:
4x = 5x + 4
2. What value of m makes this statement true?
--7m + 13 = 1 – 5m
3. Juan babysits and earns $5 an hour. The
equation a = 5h shows the relationship
between the amount in dollars (a) Juan earns
babysitting and the time in hours (h) she
babysits.
Jake also babysits and the table below shows
the proportional relationship between the time
in hours (h) Jake babysits and the amount in
dollars (a) he earns babysitting.
h
a
2
3
8
12
4
5
16
20
Use the graph below for questions 6 and 7:
Who earns more babysitting Juan or Jake?
Explain.
4. Write an example of an answer you get for
each type of solution. (Ex. x = 3, 0 = 0, 1 ≠ 2)
a. One solution:
b. No Solution:
7. If a writer wrote 8 pages in an hour, how many
pages did they write at point S on the graph?
8. How many pages did they write at point P on
the graph?
c. Infinite Solutions:
5. Solve the system of equations:
9. Solve the system of equations:
10. Breyton knows his race car can accelerate from
0 miles per hour to 100 miles per hour in 60
seconds. He assumed that acceleration was
constant and created the graph below. If his
graph is accurate, what point on the graph
would give him the speed of the race after 30
seconds of accelerating?
13. Buddy Jr. makes $10.00 an hour selling
brownies at the bakery. Create a graph to
represent this linear relationship. Label the
graph and plot points for the amount earned in
1 hour, 2 hours, 3 hours, 4 hours, and 5 hours.
11. Solve the system of equations:
14. Graph the system of equations:
12. Identify how many solutions each system has
and explain why:
a.
b.
c.
15. Why does the system of equation have one
solution?