One-Step Equations
Solving Equations
Solve for x.
2x = 8
What is:
x = 4
If a number is NOT included in the solution set, do we use an open or closed circle on our graph?
open circle
Solving Inequalities
Solve for c.
c - 11 > 22
What is:
c > 33
Is the statement true or false?
2X > 6
x=5 is part of the solution set.
True
The inverse operation of addition
What is
"Subtraction"
Solve the equation
X + 4 = 88
What is:
X = 84
Name 3 numbers that are part of the solution set to:
x<2
Any integer, fraction, or decimal less than 2.
Example: 0, -7, 1/2, -2.5, 1
Solve the inequality
2x < 4
X < 2
Is the statement true or false?
2K + 30 = 10
K = 40
False
For the phrase "at least", we use this inequality symbol
"greater than or equal to"
solve the equation
z/30 = 70
z = 2,100
Draw a graph for the inequality:
8<p
open circle on 8
arrow pointing to the right
Write an inequality
S is at most 55
s <= 55
We use a closed circle to represent the inequalities < and > ?
False
What is 25% of 200?
What is:
50
solve the equation
4x = 14
What is:
x = 3.5
Write and graph an inequality to represent the solution set:
a number is at most -2
x less than or equal to -2
closed circle on -2, arrow pointing left.
Write an Inequality
j is less than 8
j < 8
Inequalities only have one solution, just like equations.
False. Inequalities have infinitely many solutions.
For the phrase "At most" we use this inequality symbol
"Less than or equal to"
Solve the Equation:
f - 9 = 58
What is:
f = 67
$20 is the minimum you can pay for dinner.
20<d or d>20
open circle on 20, arrow pointing to the right.
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
c>8
Julie must wash more than 8 cars.
Given c + 4 > 14
We use the inverse operation of subtraction to solve the inequality.
TRUE
Difference between an equation and an expression.
Equations have "=" and expressions do not