Concepts & Procedures
Evaluate:
3 + 4 × 2
11
You earn $5 per chore.
How much for 4 chores?
$20
Can you combine:
3x + 2x?
Yes
Table:
x | y
1 | 3
2 | 6
What is the rule?
y = 3x
2(x + 4) + 4x
6x + 8
Simplify:
2(x + 3)
2x + 6
You already have $10 and earn $5 per chore.
Write an equation.
y = 5x + 10
Can you combine:
4x + 3y?
No (without explanation=200)
No (with explanation=250)
You earn $4 per hour and already have $8.
Write an equation.
y = 4x + 8
Solve:
2(x + 4) + 3x = 28
x = 4
Combine like terms:
3x + 2x + 4
5x+4
A movie costs $12 plus $3 per snack.
You spend $27 total.
How many snacks?
5
Which is correct?
A: 2(x + 3) = 2x + 3
B: 2(x + 3) = 2x + 6
B
A phone plan costs $20 plus $3 per GB.
Write an equation.
y = 3x + 20
Solve:
4(x + 2) + 2x = 28
x = 3
Solve:
2x + 6 = 18
x=6
A gym charges $10 plus $5 per visit.
How much for 6 visits?
$40
What mistake was made?
4(x + 2) = 4x + 2
Did not distribute to BOTH terms correctly
(4x2=8, NOT 2)
A gym charges $10 plus $5 per visit.
Write an equation.
y = 5x + 10
Solve:
3(x + 5) + x = 31
x = 4
Solve:
3(x + 4) + 2x = 25
x=2
A student saves $2 per day and already has $6.
How many days to reach $20?
7 Days.
Why do we combine like terms before solving equations?
To simplify the equation / make it easier to solve
How much would 8 visits cost?
y = 5x + 10
$50
Solve:
5(x − 3) + 3x = 33
x=6