Chapter 8
Algebra: Equations and Inequalities
Problem of the Day
Robert started school in 2005. Beth started school 6
years after Robert. Which equation could be used to
find the year y in which Beth started school?
a) y – 6 = 2005
b) y × 6 = 2005
c) y ÷ 6 = 2005
d) y + 6 = 2005
AKA
6y = 2005
Write the inequality symbol
Less than
Write the inequality symbol
Equal to
Write the inequality symbol
Greater than or
equal to
Write the inequality symbol
Greater than
Write the inequality symbol
Not equal
Write the inequality symbol
Less than or
equal to
Solve the equation and check the
equation.
3
r  180
7
Solve the equation and check the
equation.
5
3
4  t  11
8
4
Solve the equation and check the
equation.
f – 2.3 = 18.4
Kelly joins Verizon for a one-time fee of $10.
Each movie rental is $5. Which equation
represents the relationship between the number
of movie rentals m that Kelly rents and the total
cost c?
a) c = 5m + 10
b) m = 5c + 10
c) m = 10c + 5
d) c = 10m + 5
Ralph gave away his DVD collection to his 5
friends. Each friend got 20 DVDs. To find the
number of DVDs d that Ralph originally had,
𝑑
he solved the equation = 20. How many
5
DVDs did Ralph originally have?
a. 5
b. 100
c. 4
d. 5
During the Lip Sync show, the sixth graders
sold 60 pretzels that each cost the same
amount. They earned a total of $180. Which
equation could be used to find the cost c of
each pretzel?
a) c + 60 = 180
b) c ÷ 60 = 180
c) c - 60 = 180
d) c × 60 = 180
AKA: 60c = 180
The repairs to an iPhone screen cost more
than $20. Choose an inequality that
represents the cost of repairs r.
a) r = 20
b) r ˃ 20
c) r ˂ 20
d) r ≥ 20
There are 100 people signed up for soccer
tournament. Everyone must take the bus.
Each bus holds 20 people. The equation 20b =
100 can be used to find the number of buses
b that are needed. How many buses are
needed for the tour?
a) 2,000 buses
b) 5 buses
c) 120 buses
d) 80 buses
Annabelle purchases yarn to make a
scarf. The total cost c of the yarn is $8
times the number of meters of yarn y.
Write an equation that gives the total
cost c of y meters of yarn.
Keira can have no more than $100 in her bank account.
A. Write an inequality to represent the possible amount of money m in Keira’s bank account.
B. Give a solution of the inequality and explain what the solution means.
C. Graph the solutions of the inequality on the number line. Explain how you know your
graph is correct.
Solve the equation and check the
equation.
𝑘
= 14
7
Solve the equation and check the
equation.
4 + x = 12
Homework
• Practice Book pages 165166
• Numbers:
• 4, 5, 9, 10, 13, 16, 17, 19,
20, 22, 23, 24, 25, 26, 27