Simplify Expressions
Distribute
3(4x + 2) =12
x=1/2 or (0.5) or 6/12
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
True or False: The the following numbers {-pi, 0, 2} are solutions to the inequality -2 < x + 1 < 0.
False!
Combine like terms
-3x + 2(5x - 4)=13
x=3
Solving Equations
Solve for x.
2x = 8
What is:
x = 4
What are two possible solutions for x?
2x < 4
x: 0,1
Addition is the inverse of division.
False
In the following equation 3x + 12 = 14, what is the coefficient?
3
What is a shorter way to write x+x+x+x+x?
5x
Solving Equations
Solve for x.
−15 + x = −9
What is:
x = 6
Write an inequality
S is at most 55
s <= 55
We use a closed circle to represent the inequalities < and >
False
What is the difference between an "and" inequality and an "or" inequality.
"And" inequalities require BOTH conditions (or inequalities) to be true.
"Or" inequalities only require that ONE condition must be true.
Distribute, Then Combine like Terms
6(-5x + 1) -3(4x - 12)=0
x = 1
Solve for v.
m − 9 = −13
m = -4
Write an Inequality
Brianna, who is not yet 21 years old, is 2 years older than Lily.
x + 2 < 21
Inequalities only have one solution, just like equations.
False. Inequalities have infinitely many solutions.
For the inequality -5<x<2, how do you write this answer in interval notation?
(-5, 2)
Is 3x + 6 equivalent to 3(x+2)?
Yes--they are equivalent expressions by the distributive property.
Modeling Equations
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.
FALSE
Which of the following numbers ARE solutions to the inequality 5x>40?
{0, 0.75, 1, 5, 8, 11, 400)
{11, 400}