Vocabulary
What do we call a letter that represents an unknown number?
Variable
11y = 132
y=12
Sarah rented a stroller at Disney for $34. They charge $14 plus $5 an hour.
Write the equation that represents this scenario
34 = 14 + 5x
14 + 5x = 34
5x + 14 = 34
34 = 5x + 14
Sarah rented a stroller at Disney for $34. They charge $14 plus $5 an hour. How long did she rent the stroller?
4 hours
h + 12 = 36
Subtraction
The name of a number that stands alone in an equation or expression
Constant
4m - 2 = 26
m = 7
Da'mari bought a comic book for $2 and some erasers for $5 each. He spent a total of $27.
Write the equation that represents this scenario.
27 = 2 + 5x
27 = 5x + 2
5x + 2 = 27
2 + 5x = 27
Da'mari bought a comic book for $2 and some erasers for $5 each. He spent a total of $27. How many erasers did he get?
5 erasers
(p/4) = 25
Multiplication
The name of a number that is multiplied to a variable
Coefficient
.5w + 15 = 45
Rebecca has $500 in her checking account. Each week she spent money on her favorite coffee, but realized after 4 weeks, she only had $400 left in her account.
Write the equation that represents this scenario.
500 - 4x = 400
-4x + 500 = 400
400 = 500 - 4x
400 = -4x + 500
Rebecca has $500 in her checking account. Each week she spent money on her favorite coffee, but realized after 4 weeks, she only had $400 left in her account. How much was she spending on coffee each week?
$25
(Yes if you get Starbucks each week day, you could spend this much!)
16x = 64
Division
The name of we use for these: addition, subtraction, multiplication, and division
Operators or Operation
(x/3) - (2/3) = (3/3)
x = 5
For a field trip 8 students rode in cars and the rest filled 3 buses. There were 68 students in all.
Write the equation that represents this scenario.
3x + 8 = 68
8 + 3x = 68
68 = 3x + 8
68 = 8 + 3x
For a field trip 8 students rode in cars and the rest filled 3 buses. There were 68 students in all. How many students were on each bus?
20 students
20x - 13 = 67
Addition THEN Division
What we call opposite operator
Inverse Operator/Operation
(k/4) + .75 = 20.75
k = 80
You started out with some money in your savings account. Half of it is put into a checking account, and your parents gave you $50 for your birthday. The checking account came to a total of $384.
Write the equation to represent this scenario.
(x/2) + 50 = 384
50 + (x/2) = 384
384 = (x/2) +50
384 = 50 + (x/2)
You started out with some money in your savings account. Half of it is put into a checking account, and your parents gave you $50 for your birthday. The checking account came to a total of $384.
How much was in your savings account in the beginning?
$668
2(w/3) + 16 = 20
Subtraction THEN Division THEN Multiplication