Writing Expressions & Equations
Write an expression for "six more than twice a number."
2x + 6
Solve:
x + 7 = 20
x=13
Solve:
x - 4 < 6
x < 10
What does the 200 represent in the expression
22.50h + 200?
The fixed rental fee
Simplify:
6x + 1 - 2(3x - 1)
6x + 1 - 6x + 2 = 3
Factor this expression:
36a - 16
4(9a - 4)
Solve:
-3x + 25 = 40
x= -5
Solve and graph:
-3x + 1 < 7
x > -2
(graph with open circle at -2 and arrow to the right)
Mia has $300. Can she afford to rent a hall for 3 hours if it costs 22.50/hour + $200? Support your response with an inequality.
Yes.
22.50 × 3 + 200 = 267.50 < 300
True or False:
-2(4 - 2x) = -8 - 2x
. If false, what should it be?
False. It should be -8 + 4x
Write an equation: A store charges $5 per item and a $3 service fee. If you paid $28 total, how many items did you buy?
5x + 3 = 28
Solve:
⅓(x - 10) = -4
x= -2
Write an inequality to represent: “A number times 4 is at most 24”?
4x ≤ 24
Mia has $300. Can she afford 6 hours at $22.50/hour plus $200? Support your response with an inequality.
No.
22.50 × 6 + 200 = 335 > 300
Valentina simplified
-2(4 - 2x) - 3 - 2x
as
-11x - 4x
. What was her mistake?
She incorrectly distributed the -2 and combined like terms incorrectly
What does the expression
22.50h + 200
represent in the context of hall rental?
Total cost to rent a hall for h hours (22.50 is the hourly rate, 200 is the fixed fee)
What is the first step to solve
6x + 1 - 2(3x - 1) = 0 ?
Distribute the -2: -2(3x - 1) becomes -6x + 2
True or False: The solution to
2x + 5 > 11
is
x > 3
. If false, correct the statement.
True
Write an equation to find the max number of hours Mia can rent the hall. The hall costs $22.50 per hour plus a rental fee of $200.
22.5h + 200 = 300
What’s the correct simplification of
-2(4 - 2x) - 3 - 2x ?
-8 + 4x - 3 - 2x = 2x - 11
Write an inequality for: "You have $50. You buy a $10 album and want to buy n songs for $1.29 each."
10 + 1.29n ≤ 50
Solve for x:
2(3x - 5) = 4x + 10
x = 10
Solve: 5x - 3 ≤ 2x + 9
x ≤ 4
Solve:
22.5h + 200 = 300
h = 4.44
hours
Simplify:
x + x²
?
x + x²
They are different degrees and can't be combined