Simplify Expressions
Simplify
3(4x + 2)
12x + 6
Solve for x.
x + 3 = 7
x = 4
Solve for c.
c - 11 > 22
c > 33
We use inverse operations when solving equations and inequalities.
True
Our school principal
Mr. Meek
Simplify
3x + 2(5x - 7)
13x - 14
Solve for x.
2x + 4 = 12
x = 4
What are two possible solutions for x?
2x < 4
x: 0,1
Addition is the inverse of division.
False. Addition is the inverse of subtraction
College Mr. Hitchens attended
Emporia State University
Simplify
7x -2(3x + 1) -9
x - 11
Solve for x.
−15 + x = −9
x = 6
Write an inequality
S is at most 55
s <= 55
We use a closed circle to represent the inequalities < and >
False. We use an open circle to represent the inequalities < and >
What is 25% of 200?
50
Simplify
6(-5x + 1) -3(4x - 12)
-42x + 42
Solve for m.
2m − 9 = −5
m = 2
165 > -7(4n - 4)
-5 < n OR n > -5
Inequalities only have one solution, just like equations.
False. Inequalities have infinitely many solutions.
What year did Mr. Hitchens graduate from High School?
2020
Simplify
3(x + 2) + 2(4x - 6) + 2x
13x - 6
Modeling Equations
Create an equation that represents the following expression and then solve it.
Harvey's age doubled is 6
2a = 6
a = 3
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?
7c > 56
c > 8
Given 2c + 4 > 14
We will distribute the 2 to both c and 4 first
What is the difference between an equation and an expression?
An equation you can solve and an expression you can simplify