True/False/Open
Is the following equation true, false, or open?
7+3 = 12-2
True
Solve:
x+5=10
x=5
Solve:
2x+1=5
x=2
Casey won 35 lollipops playing
horseshoes at the county fair. At school he
gave one to every student in his math
class. He only has 7 remaining. How
many did he give away?
Write the Equation AND Solve
35-x=7
x=28
Maria spent half of her weekly allowance
buying pizza. To earn more money her
parents let her mow the lawn for $10.
What is her weekly allowance if she ended
with $17?
Write the Equation AND Solve
(x/2)+10=17
x=14
$14
Is the following equation true, false, or open?
5x+3 = 4(8)-3
Solve:
n-3=7
n=10
Solve:
3n-9=-45
n=-12
Natalie wants to buy a hat for $6. She
gives the cashier $10. What is her
change?
Write the Equation AND Solve
6+x=10
x=4
$4
Jose had some candy to give to his five
children. He first took two pieces for
himself and then evenly divided the rest
among his children. Each child received
four pieces. With how many pieces did he
start?
Write the Equation AND Solve
(x-2)/5=4
x=22
22 Pieces of Candy
Explain how you know when an equation is False
The two expression are NOT equal
Solve:
4x=12
x=3
Solve:
3=(x/9)+4
x=-9
John spent $36 on nine toy cars. How
much did each toy car cost?
Write the Equation AND Solve
9n=36
n=4
$4 per car
For a field trip 19 students rode in cars
and the rest filled eight buses. How many
students were in each bus if 195 students
were on the trip?
Write an Equation AND Solve
8x+19=195
x=22
22 Students per bus
Explain how you know when an equation is TRUE?
The two expressions are equal
Solve:
n/6=2
n=12
Solve:
-n-6=-26
n=20
Find the price of one candy bar if six
candy bars cost $30.18.
Write the Equation AND Solve
6x=30.18
x=5.03
$5.03 per candy bar
Mofor was going to sell all of his stamp
collection to buy a video game. After
selling half of them he changed his mind.
He then bought eighteen more. How
many did he start with if he now has 34?
Write the Equation AND Solve
x=32
When we find the solution to an open equation, what does the solution do?
Makes the equation true
Solve:
7-x=3
x=4
Solve:
(-7+n)/3=4
x=19
At a restaurant, Jimmy and his four friends
decided to divide the bill evenly. If each
person paid $7.73, then what was the total
bill?
Write the Equation AND Solve
x/5=7.73
x=38.65
The bill was $38.65
Paul rented a bike from Castel's Bikes. It
cost $14 plus $4 per hour. If Paul paid
$42, then he rented the bike for how many
hours?
Write an Equation AND Solve
14+4x=42
x=7
7 Hours