True or False
To solve a two-step problem, you usually will have to multiply or divide first
False, you usually have to add or subtract first
What is the first inverse in this problem?
4m - 5 = 11
+ 5 to both sides
What does inverse mean?
Opposite
Solve:
3f + 5 = 11
f = 2
Solve:
2d + 4 < 10
d < 3
Equations always have equal signs
True
What is the first inverse in this problem?
p/5 + 4 = 7
- 4 to both sides
Name one difference between equations and inequalities
The signs are different
OR
The amount of solutions are different
Solve:
9a - 6 = 21
a = 3
Solve:
10y - 4 > 36
y > 4
Equations have 1 solution only
True
What is the second inverse in this problem?
2b - 12 = 10
Divide 2 to both sides
Answer one of these questions:
1. What does + - mean?
2. What does - - mean?
+ - means -
- - means +
Solve:
c/4 + 10 = 26
c = 64
Solve:
s/6 - 9 ≥ 2
s ≥ 66
Inequalities have 2 possible solutions
False, infinitely many solutions
What is the second inverse of this problem?
-5k - 6 = 19
Divide -5 to both sides
If your inequality answer is x<2
can x = 2?
No, x cannot equal 2 because x has to be less than 2 from the inequality.
Solve:
-5w - 11 = 14
w = -5
Solve:
-7t + 7 ≥ 14
t ≤ -1
You always flip the inequality sign when you solve two-step inequalities
False, only if you multiply or divide a negative number
What are both inverses in this problem? IN ORDER
h/-3 + 17 = 16
First subtract 17 to both sides,
Second multiply -3 to both sides
If your inequality answer is x>-10
can x = -11?
No, x has to be greater than -10, and -11 is less than -10
Solve:
3(j - 8) = 12
j = 12
Solve:
-v - 1 ≤ 2
v ≥ -3