I can identify that the solution of an equation or inequality are the values that make the equation or inequality true. I can write expressions when solving a real-world or mathematical problem that contains one variable. I can relate variables to a context. I can apply the rules of solving one step equations using inverse operations. I can write an inequality in the form x>c or x<c>c, x<c with infinitely many solutions on a number line diagram.

1. Equations & Expressions
Sub Unit B
Learning Target 1:
• I can identify that the solution of
an equation or inequality are the
values that make the equation or
inequality true.

3. Learning Target #2: I can write
expressions when solving a real-world or
mathematical problem that contains one
variable.
Learning Target #3: I can relate variables
to a context.
My aunt is 32 years old, which
is 18 years older than my sister.
What is my sister’s age?
• Choose a variable to
represent my sister’s age.
• Write an equation to solve
the problem.

4. Writing
Solution
Sentences

5. Jeanne has $17 in her piggy bank. How much
money does she need to buy a game that costs
$68?
 Choose a variable to  m for $
represent the
unknown.
 Write an equation  $17 + m = $68
that will assist in
solving the problem.
 Solve the equation.  68 – 17 = 51
 Write a solution  Jeanne needs $51 to buy the game.
statement.

6. 1.) Roberto was given $5.00 for snacks at the beginning of a long day
trip. At the first stop Roberto spent $2.38, at the second stop he
spent $1.35. How much would that leave Roberto for the third
stop, if t stands for the amount for the third stop?
2.) There are 268 total pieces of candy in a 1 pound bag. There are a
total of four colors: red, yellow, green, and brown in the bag. The
first three colors total 213 pieces. Show a solution sentence that
shows how many pieces are brown, if B is the number of brown
pieces.
3.) The largest pearl was found in 1934 in the shell of a giant oyster.
It weighed 9 pounds 1 ounce. The largest diamond was found in
1905 and weighed 1 pound 4 ounces. If the pearls was placed on
one side of a balance scale, and the diamond was placed on the
other side of the balance scale, make a solution sentence to show
how much weight will be needed on the side of the diamond in order
to make the scale balance if w represents the weight needed.
4.)The worlds tallest man is 8 feet 11 inches tall. The worlds
shortest man is 26 inches tall. If h represents the height, how much
taller is the tallest man than the shortest man?

7. The Carnival
There’s a big carnival every year in our
town. It’s opening tonight. It costs
$5.00 to get in and $1.00 for every ride
ticket you buy. Write an expression to
represent the information.
Determine how much it would cost to
get into the carnival and buy 12 ride
tickets.

8. MORE CARNIVAL QUESTIONS
Miguel is going to the carnival with his
friend, Corey. Miguel is planning to buy
16 ride tickets. Write an equation to
find the amount of money he’ll need to
get in and buy ride tickets.
Corey has $27.00 to spend on admission
and tickets. How many tickets will he
be able to buy? Write an equation and
use the letter x to stand for the number
of tickets Corey will be able to puchase.
Miguel’s favorite ride is the Teacups.
Some of the cups hold 2 people. Others
hold 4 people. There are 9 cups in
all, and when the ride is full, it holds 24
people. Draw a diagram that represents
this information. Be prepared to
explain your diagram.

9. Learning Target #4:
I can apply
the rules of
solving
one step
equations
using inverse
operations.
Inverse operation:
The opposite
INVERSE OPERATIONS
operation that will
addition «» subtraction
undo the current
multiplication «» division
operation.

10. SOLVING EQUATIONS
MUST
by ADDING or SHOW
SUBTRACTING YOUR
you MUST WORK!
do to the
other!!!
Whatever 7 + x = 10
you do to
one side of
-7 -7
the x = 3
GOAL: equation….
GET
VARIABLE b – 4 = 13
ALONE! +4 +4
b = 17

11. Solving Equations
by Multiplying or
Dividing
3x= 15
÷3 ÷3
x = 5
b÷4=9
·4 ·4
b = 36

12. Learning Target #5: I can write an inequality in
the form x>c or x<c to represent a constraint or
condition in a real-world or mathematical
problem.
WRITING INEQUALITIES FOR REAL-WORLD
PROBLEMS

13. Less than
Greater than
Less than/Equal to
Greater than/Equal to
Match the Symbols
< >
≥ ≤

14. WARNING
MORE THAN & LESS THAN
have a DIFFERENT MEANING when
ADDING & SUBTRACTING
compared to being used as an
At least – greater than/equal to
INEQUALITY!
No more than – less than/equal to
BE CAREFUL
More than – greater than
Less than – less than

15. LESS THAN GREATER THAN
• less than • more than
• below • greater than
• fewer than • exceed
• above
LESS THAN/EQUAL TO GREATER THAN/EQUAL TO
•no more than •no less than
•does not exceed •at least
•not above •no fewer than
•at most •not under
•maximum •minimum

16. Writing Inequalities from Statements
Examples:
1.) The temperature will not exceed 64
degrees.
2.) Gabriella earned at least $75.00.
3.) Jack needs to improve his marathon
time by no more than 10 minutes.
4.) Keith wants to buy a new car but
cannot spend more than $3,500.
5.) Each bus can hold at most 52
students.
6.) DJ Joe can fit more than 120 CD’s in
his travel case.

17. Learning Target
#6:
I can represent
solutions to
inequalities of
the form
x>c, x<c with
infinitely many
solutions on a
number line
diagram.

18. Solving Inequalities
7 + x > 10 Solve an Inequality b – 4 < 13
like you solve an
-7 -7 equation +4 +4
x > 3 b < 17
3x < 15 Use the INVERSE b÷4>9
3 3 OPERATION and ·4 ·4
keep the inequality.
x < 5 b > 36

19. x > 3
*Draw a circle AT the number.
*Shade the line in the
direction the sign in pointing.
>(Greater Than) Shade RIGHT
<(Less Than) Shade LEFT
-3 -2 -1 0 1 2 3 4 5 6 7 8 9 10

20. The average 1.5 inch match
will burn for 45 seconds or
less.
How can you represent this
information using an
inequality and graph?

21. Volunteer to Write
Inequality?
Volunteer to Graph?
37 38 39 40 41 42 43 44 45 46 47 48 49 50