Properties
Solving Equations
Solving Inequalities
Literal Equations
Modeling Inequalities/Equations
100
Multiplying over parenthesis is what property?
Distributive Property.
100
After you list the operations that happened to the variable you must _______ them to solve for the variable.
Reverse/invert/do opposite steps
100
Rule of Thumb! When solving linear inequalities, ALWAYS leave the variable on the ______ side.
LEFT!
100
A ______ is an example of a literal equation.
formula
100
At most c
No more than c
Maximum
Has $c to spend
What inequality symbol do we use for these terms?
Less than < or equal to.
200
Rearranging or swapping terms is considered which property?
Commutative Property
200
7x – 15 = 20
x = 5
200
What happens when you multiply by a negative number?
The inequality signs flips/switches.
200
When a problem says “express x in terms of a, b, and c,” it is telling you to
Isolate x or solve for x
200
Bryan's hockey team is purchasing jerseys. The company charges $250 for a onetime set-up fee and $23 for each printed jersey. Write an expression that represents the total cost of x number of jerseys for the team?
23x + 250
300
Grouping terms together or changing where we place our parenthesis is considered what property?
Associative Property
300
-5n - 3(1 - 4n)= 37 - n
n = 5
300
- ( -2x + 4 ) < 4 ( x + 2 )
x > -2
300
Solve for x
x = c - b
_____
a
300
The difference between twice a number and a number that is 5 more than the number is 3. Which of the following equations could be used to find the value of the number, n?
2n - ( n + 5 ) = 3
400
When solving w2 - 5 = 8w + 5,
Kate wrote w2 - 10 = 8w.
The property she used is
Subtraction Property
400
5(x - 3) + 2x = 4(x + 3)
x = 9
400
3600 + 1.02x < 2000 + 1.04x
x > 8,000
400
x = b( d + c ) - a
400
Connor wants to attend the town carnival. The price of admission to the carnival is $4.50, and each ride costs an additional 79 cents. If he can spend at most $16.00 at the carnival, what inequality can be used to solve for r, the number of rides Connor can go on, and what is the maximum number of rides he can go on?
r is less than or equal to 14.557
500
Which operations are not represented by the commutative property?
Subtraction Property / Division Property
500
List out the 5 steps to solving linear equations.
Distribution Prop.
Combine Like Terms
Add/Sub Prop.
Add/Sub Prop.
Multi/Division Prop.
500
4(x - 3) < 4(2x + 1)
x > - 4
500
y = mx + b
x = y - b
_____
m
500
What are the three steps when modeling linear equations?
Step 1 Annotate
Step 2 Define the unknowns
Step 3 Translate given info into equation