Vocab
Like Terms
Solve: x + 2 = 8
x = 6
-2x + 4 = 18
x = -7
Adrian is paid $100 each month. How much money will he earn after 12 months?
x = $12,000
The average amount of time a worker finishes his work is 2 hours.
A. How much of his work does he finish in 6 hours?
B. How much of his work does he finish in 12 hours?
A. h = 3
B. h = 6
No like Terms and No parenthesis
Simplest Form
Solve: y - 10 = 5
y = 15
Subtract and Simplify: 3y - 1 + (-5y) - 2
-8y - 3
The elevation Damien is at now is 450 feet. He was dropped down by 300 feet. What is Damien's elevation prior to dropping down?
x = 750 ft
Tristan has 15 presents on his birthday. This is 3 more than the amount of presents he had his previous birthday.
A. Write down the equation
B. Solve the equation
A. x + 3 = 15
B. x = 12
What is the Algebraic Expression where exponents of the variable is one?
Linear Expression
Solve: 10 + x = 7
x = -3
12 + y/3 = 12
y = 0
The total money you have from your pocket after buying some Chipotle is $36. This is $44 less than the amount of money you had before buying Chipotle.
How much money did you have before buying Chipotle?
x = $80
The amount of money Hang Hui is given is $240.00. He bought clothes that each cost $30.00. He also bought some snacks that, in total, costs $60.00.
A. Write the equation
B. How many clothes does he buy?
A. 30x + 60 = 240
B. x=6
What do you call two problems with the same answer
Equivalent Equations
Solve: x/5 = 35
x = 7
-7(z + 5) = 49
z = -2
John wants to go to a sports arena. He was given $800. The entrance fee costs $20. He bought many clothes that each cost $30. Finally, he spends $180 by buying food. How many clothes did he buy?
x = 20
The amount of time Spencer uses her phone is 3 hours longer than twice the amount of time she does her work. The amount of time she used her phone now is 5 hours.
A. How many hours did she do her work?
B. If she was on her phone for only 4 hours, how long does she do her work now?
A. x = 1 hour
B. x = 0.5 hours
What do you call adding, subtracting, multiplying, and dividing the same number/s to each side of an equations to produce an equivalent equation?
Property of Equality
Solve: -6j = 33
j = -5.5
Add/Subtract and Simplify: 8z + 2 - 7z + (-3)
z - 1
You want to collect some unused items and put them into two different kinds of boxes. After "d" days, you have (10d + 2) items in your wooden box, and have (3d + 7) items in your cardboard box. Write an expression that represents the total amount of items you've collected in both boxes.
13d + 9
Tristan wants to go to an arcade but he doesn't know which arcade he should go to. Arcade X charges $3.10 for the entrance and $2 for each game a person play. Arcade Y charges $5.20 for the entrance and $4 for each game a person plays.
A. Write the expression that represents how much more Arcade Y charges than Arcade X
B. If you play 2 games in Arcade Y, and 3 games in Arcade X, which Arcade is cheaper?
A. 2x + 2.10
B. Arcade X