Writing Equations
A number, x, increased by 12 is 15
x + 12 = 15
Solving Equations
Solve for x.
2x = 8
What is:
x = 4
What are two possible solutions for x?
2x < 4
x: 0,1, etc.
Addition is the inverse of division?
False
There are less than 20 minutes left in class.
x < 20
The product of 12 and j is equal to 75.6
12j = 75.6
Solving Equations
Solve for x.
5x = 25
What is:
x = 5
Write an inequality
S is at most 55
s <= 55
We use a closed circle to represent the inequalities < and > ?
False
There are more than 25 people on the bus today.
x > 25
A number divided by 6 is eight.
x/6 = 8
Solving Equations
Solve for x.
x + 3 = 7
What is:
x = 4
Solving Inequalities
Solve for c.
c - 11 > 22
What is:
c < 33
We use inverse operations to solve equations and inequalities?
True
John can spend at most $50 for Valentine's Day. Write an inequality to represent this situation.
x < 50
A large pizza with 15 slices is shared among p students so that each student's share is 3 slices.
15/p = 3
Solve for v.
v + 14 = 30
v = 16
Write an Inequality
J is less than 8
J < 8
Inequalities only have one solution, just like equations.
False. Inequalities have infinitely many solutions.
A family is taking a trip to a museum. They get a discounted ticket price if they have no fewer than 5 people purchasing a ticket. What inequality represents how many people need to purchase a ticket.
x > 5
Casey's sister is 3 times as old as he is. If his sister is 21, using c to represent how old Casey is, what equation could be used to find Casey's age?
3c = 21
Create an equation that represents the following expression and then solve it.
Harvey's age doubled is 6
2a = 6
a = 3
Modeling and Solving Inequalities
Create an inequality to represent the scenario and solve the inequality
Julie earns $7 for each car she washes. This week, she wants to save more than $56. How many cars must she wash?
What is:
7c > 56
Given c + 4 > 14
We use the inverse operation of subtraction to solve the inequality.
TRUE
x > 27
or
x + 8 > 45