3. Expression vs. Equation
Round 1
• Equation is derived from the word equate, which
means one thing is the same as another thing.
4. Expression vs. Equation
Round 1
• Equation is derived from the word equate, which
means one thing is the same as another thing.
• Which symbol would you associate with equate?
5. Expression vs. Equation
Round 1
• Equation is derived from the word equate, which
means one thing is the same as another thing.
• Which symbol would you associate with equate?
• An = sign!
6. Expression vs. Equation
Round 1
• Equation is derived from the word equate, which
means one thing is the same as another thing.
• Which symbol would you associate with equate?
• An = sign!
• In Math, an equation always has an = sign.
7. Expression vs. Equation
Round 1
• Equation is derived from the word equate, which
means one thing is the same as another thing.
• Which symbol would you associate with equate?
• An = sign!
• In Math, an equation always has an = sign.
• Notice the word equation has part of the word equal.
So when you see equation, you know you must have an
equal sign.
11. Expression vs. Equation
Round 2
• Expression is derived from the word express,
which means high speed or quick.
12. Expression vs. Equation
Round 2
• Expression is derived from the word express,
which means high speed or quick.
• An expression does not have an = sign.
13. Expression vs. Equation
Round 2
• Expression is derived from the word express,
which means high speed or quick.
• An expression does not have an = sign.
• Notice the word expression has the word
express. This is a reminder we want to write the
expression as quickly as possible, which means no =.
17. Expression vs. Equation
Round 3
• What is the relationship between an
equation and an expression?
18. Expression vs. Equation
Round 3
• What is the relationship between an
equation and an expression?
• Such as 3x - 5 = 8
and 23a + 5b
19. Expression vs. Equation
Round 3
• What is the relationship between an
equation and an expression?
• Such as 3x - 5 = 8
and 23a + 5b
• Notice each side of the equation is actually an
expression.
20. Expression vs. Equation
Round 3
• What is the relationship between an
equation and an expression?
• Such as 3x - 5 = 8
and 23a + 5b
• Notice each side of the equation is actually an
expression.
• An equation is made from 2 equal expressions.
22. How to build an equation...
• Start with 2 expressions
23. How to build an equation...
• Start with 2 expressions
1.3x − 2.5 7.4
24. How to build an equation...
• Start with 2 expressions
1.3x − 2.5 7.4
Expression
25. How to build an equation...
• Start with 2 expressions
1.3x − 2.5 7.4
Expression Expression
26. How to build an equation...
• Start with 2 expressions
1.3x − 2.5 7.4
• Put one expression on
Expression Expression
the left side of the =
27. How to build an equation...
• Start with 2 expressions
1.3x − 2.5 7.4
• Put one expression on
Expression Expression
the left side of the =
1.3x − 2.5 =
28. How to build an equation...
• Start with 2 expressions
1.3x − 2.5 7.4
• Put one expression on
Expression Expression
the left side of the =
• And the other on the
right side 1.3x − 2.5 =
29. How to build an equation...
• Start with 2 expressions
1.3x − 2.5 7.4
• Put one expression on
Expression Expression
the left side of the =
• And the other on the
right side 1.3x − 2.5 = 7.4
30. How to build an equation...
• Start with 2 expressions
1.3x − 2.5 7.4
• Put one expression on
Expression Expression
the left side of the =
• And the other on the
right side 1.3x − 2.5 = 7.4
• Now we have an
equation.
31. How to build an equation...
• Start with 2 expressions
1.3x − 2.5 7.4
• Put one expression on
Expression Expression
the left side of the =
• And the other on the
right side 1.3x − 2.5 = 7.4
• Now we have an
1.3x − 2.5 = 7.4
equation.
Equation
32. Identify as an Equation or Expression
• 3x + 2y = 5
• -3ab
• 987 = x
• ⅔p - ¾q = r
• V = lwh
• 987,456.23
• ⁵⁄₈ − ⁴⁄₇x
33. Identify as an Equation or Expression
• 3x + 2y = 5 • Equation
• -3ab
• 987 = x
• ⅔p - ¾q = r
• V = lwh
• 987,456.23
• ⁵⁄₈ − ⁴⁄₇x
34. Identify as an Equation or Expression
• 3x + 2y = 5 • Equation
• -3ab • Expression
• 987 = x
• ⅔p - ¾q = r
• V = lwh
• 987,456.23
• ⁵⁄₈ − ⁴⁄₇x
35. Identify as an Equation or Expression
• 3x + 2y = 5 • Equation
• -3ab • Expression
• 987 = x • Equation
• ⅔p - ¾q = r
• V = lwh
• 987,456.23
• ⁵⁄₈ − ⁴⁄₇x
36. Identify as an Equation or Expression
• 3x + 2y = 5 • Equation
• -3ab • Expression
• 987 = x • Equation
• ⅔p - ¾q = r • Equation
• V = lwh
• 987,456.23
• ⁵⁄₈ − ⁴⁄₇x
37. Identify as an Equation or Expression
• 3x + 2y = 5 • Equation
• -3ab • Expression
• 987 = x • Equation
• ⅔p - ¾q = r • Equation
• V = lwh • Equation
• 987,456.23
• ⁵⁄₈ − ⁴⁄₇x
38. Identify as an Equation or Expression
• 3x + 2y = 5 • Equation
• -3ab • Expression
• 987 = x • Equation
• ⅔p - ¾q = r • Equation
• V = lwh • Equation
• 987,456.23 • Expression
• ⁵⁄₈ − ⁴⁄₇x
39. Identify as an Equation or Expression
• 3x + 2y = 5 • Equation
• -3ab • Expression
• 987 = x • Equation
• ⅔p - ¾q = r • Equation
• V = lwh • Equation
• 987,456.23 • Expression
• ⁵⁄₈ − ⁴⁄₇x • Expression
40. • An equation is like a balance. The 2 side are always
equal.
41. Write an equation to represent ...
Each piece of candy costs $.55. The price of p pieces of
candy is $4.40.
42. Write an equation to represent ...
Each piece of candy costs $.55. The price of p pieces of
candy is $4.40.
• What are we equating?
43. Write an equation to represent ...
Each piece of candy costs $.55. The price of p pieces of
candy is $4.40.
• What are we equating?
• The total cost to the cost of the p pieces.
44. Write an equation to represent ...
Each piece of candy costs $.55. The price of p pieces of
candy is $4.40.
• What are we equating?
• The total cost to the cost of the p pieces.
• The amount charged for the candy is found by
multiplying the cost by how many bought.
45. Write an equation to represent ...
Each piece of candy costs $.55. The price of p pieces of
candy is $4.40.
• What are we equating?
• The total cost to the cost of the p pieces.
• The amount charged for the candy is found by
multiplying the cost by how many bought.
• Write the equation
46. Write an equation to represent ...
Each piece of candy costs $.55. The price of p pieces of
candy is $4.40.
• What are we equating?
• The total cost to the cost of the p pieces.
• The amount charged for the candy is found by
multiplying the cost by how many bought.
• Write the equation
• 4.40 = .55p
48. Write an equation to represent ...
James made a withdrawal of d dollars from his checking
account. His old balance was $980.23, and his new balance
is $526.87.
49. Write an equation to represent ...
James made a withdrawal of d dollars from his checking
account. His old balance was $980.23, and his new balance
is $526.87.
• What does withdrawal mean?
50. Write an equation to represent ...
James made a withdrawal of d dollars from his checking
account. His old balance was $980.23, and his new balance
is $526.87.
• What does withdrawal mean?
• Withdrawal indicates something being taken away.
51. Write an equation to represent ...
James made a withdrawal of d dollars from his checking
account. His old balance was $980.23, and his new balance
is $526.87.
• What does withdrawal mean?
• Withdrawal indicates something being taken away.
• What are we equating?
52. Write an equation to represent ...
James made a withdrawal of d dollars from his checking
account. His old balance was $980.23, and his new balance
is $526.87.
• What does withdrawal mean?
• Withdrawal indicates something being taken away.
• What are we equating?
• Old balance minus withdrawal = New balance
53. Write an equation to represent ...
James made a withdrawal of d dollars from his checking
account. His old balance was $980.23, and his new balance
is $526.87.
• What does withdrawal mean?
• Withdrawal indicates something being taken away.
• What are we equating?
• Old balance minus withdrawal = New balance
• 980.23 − d = 526.87
54. Mya organized a pancake breakfast to raise
money to donate to the Habitat for Humanity.
She spent $35.23 on supplies and plans to
charge $4.25 for each breakfast. If P is the
profit and n is number of breakfast’s sold, what is the equation Mya
can use to determine her profit based on the number of breakfasts sold?
55. Mya organized a pancake breakfast to raise
money to donate to the Habitat for Humanity.
She spent $35.23 on supplies and plans to
charge $4.25 for each breakfast. If P is the
profit and n is number of breakfast’s sold, what is the equation Mya
can use to determine her profit based on the number of breakfasts sold?
• What is being equated?
56. Mya organized a pancake breakfast to raise
money to donate to the Habitat for Humanity.
She spent $35.23 on supplies and plans to
charge $4.25 for each breakfast. If P is the
profit and n is number of breakfast’s sold, what is the equation Mya
can use to determine her profit based on the number of breakfasts sold?
• What is being equated?
• The profit to the amount spent on supplies and amount charged.
57. Mya organized a pancake breakfast to raise
money to donate to the Habitat for Humanity.
She spent $35.23 on supplies and plans to
charge $4.25 for each breakfast. If P is the
profit and n is number of breakfast’s sold, what is the equation Mya
can use to determine her profit based on the number of breakfasts sold?
• What is being equated?
• The profit to the amount spent on supplies and amount charged.
• How do you show spent mathematically?
58. Mya organized a pancake breakfast to raise
money to donate to the Habitat for Humanity.
She spent $35.23 on supplies and plans to
charge $4.25 for each breakfast. If P is the
profit and n is number of breakfast’s sold, what is the equation Mya
can use to determine her profit based on the number of breakfasts sold?
• What is being equated?
• The profit to the amount spent on supplies and amount charged.
• How do you show spent mathematically?
• Spent indicates subtraction.
59. Mya organized a pancake breakfast to raise
money to donate to the Habitat for Humanity.
She spent $35.23 on supplies and plans to
charge $4.25 for each breakfast. If P is the
profit and n is number of breakfast’s sold, what is the equation Mya
can use to determine her profit based on the number of breakfasts sold?
• What is being equated?
• The profit to the amount spent on supplies and amount charged.
• How do you show spent mathematically?
• Spent indicates subtraction.
• Write the equation
60. Mya organized a pancake breakfast to raise
money to donate to the Habitat for Humanity.
She spent $35.23 on supplies and plans to
charge $4.25 for each breakfast. If P is the
profit and n is number of breakfast’s sold, what is the equation Mya
can use to determine her profit based on the number of breakfasts sold?
• What is being equated?
• The profit to the amount spent on supplies and amount charged.
• How do you show spent mathematically?
• Spent indicates subtraction.
• Write the equation
• P = 4.25n − 35.23
62. You try...
Aiden’s parent’s deposited $1250 into a savings account for him
when he was born and contributed $325 each year, y. Write the
equation that represents the total amount, T.
63. You try...
Aiden’s parent’s deposited $1250 into a savings account for him
when he was born and contributed $325 each year, y. Write the
equation that represents the total amount, T.
• What is being equated?
64. You try...
Aiden’s parent’s deposited $1250 into a savings account for him
when he was born and contributed $325 each year, y. Write the
equation that represents the total amount, T.
• What is being equated?
• The amounts put into the account and the total amount.
65. You try...
Aiden’s parent’s deposited $1250 into a savings account for him
when he was born and contributed $325 each year, y. Write the
equation that represents the total amount, T.
• What is being equated?
• The amounts put into the account and the total amount.
• What operation does deposited and contributed indicate?
66. You try...
Aiden’s parent’s deposited $1250 into a savings account for him
when he was born and contributed $325 each year, y. Write the
equation that represents the total amount, T.
• What is being equated?
• The amounts put into the account and the total amount.
• What operation does deposited and contributed indicate?
• Addition
67. You try...
Aiden’s parent’s deposited $1250 into a savings account for him
when he was born and contributed $325 each year, y. Write the
equation that represents the total amount, T.
• What is being equated?
• The amounts put into the account and the total amount.
• What operation does deposited and contributed indicate?
• Addition
• Write the equation
68. You try...
Aiden’s parent’s deposited $1250 into a savings account for him
when he was born and contributed $325 each year, y. Write the
equation that represents the total amount, T.
• What is being equated?
• The amounts put into the account and the total amount.
• What operation does deposited and contributed indicate?
• Addition
• Write the equation
• T = 1250 + 325y
70. You try...
Tyler receives $15 a week for school lunch, and the
cafeteria charges $2.35 for a lunch. If Tyler purchases a
lunch daily, write an equation to determine the amount
of money left, A, after d days.
71. You try...
Tyler receives $15 a week for school lunch, and the
cafeteria charges $2.35 for a lunch. If Tyler purchases a
lunch daily, write an equation to determine the amount
of money left, A, after d days.
• What are we equating?
72. You try...
Tyler receives $15 a week for school lunch, and the
cafeteria charges $2.35 for a lunch. If Tyler purchases a
lunch daily, write an equation to determine the amount
of money left, A, after d days.
• What are we equating?
• Amount left = money received minus amount spent
on lunch
73. You try...
Tyler receives $15 a week for school lunch, and the
cafeteria charges $2.35 for a lunch. If Tyler purchases a
lunch daily, write an equation to determine the amount
of money left, A, after d days.
• What are we equating?
• Amount left = money received minus amount spent
on lunch
• A = 15 − 2.35d
75. Key Points to Remember
• An equation has an = sign, an expression does not.
76. Key Points to Remember
• An equation has an = sign, an expression does not.
• When writing equations, determine what 2 things
are being equated.
77. Key Points to Remember
• An equation has an = sign, an expression does not.
• When writing equations, determine what 2 things
are being equated.
• Look for key words to determine the operation to
use.
