Combining Like Terms
Simplify: 5h + 2 + 2h
7h + 2
Simplify: 2(x + 5)
2x + 10
What does > mean?
Greater than
When graphing t > 5 would you use an open or closed circle?
Tracy's car can fit up to 5 friends. Which inequality represents the number of friends she can drive?
Let x be the number of friends Tracy can fit in her car.
A. x > 5 B. x < 5
C. x ≥ 5 D. x ≤ 5
D. Tracy can have 5 or less friends in her car.
Simplify: 3b - 2b + 23 - 11
b + 12
Simplify: 5(d - 2)
5d - 10
List 5 different answers for x if x < 0
Any negative numbers
Which graph matches the inequality
k < 3? (Slide 2)
A
WRITE AN EQUATION & SOLVE: Julie is 3 years older than her sister. Julie's age is 11 years old. How old is her sister?
n - Julie's sister's age n + 3 = 11 n = 8 Julie's sister is 8 years old.
Simplify: 8x + 5y + 9x - 3y + 41z
17x + 2y + 41z
Simplify: 7(4 - t)
28 - 7t
What does ≤ mean?
Less than or equal to
Which inequality matches the graph? (Slide 3)
C
Write an inequality, let s be your speed. The speed limit is 25 mph.
s ≤ 25
Simplify then solve: 2x + 3x = 10
x = 2
Distribute then solve: 6(2x + 1) = 30
12x + 6 = 30
x = 2
Solve: x + 13 > 35
x > 22
Write an inequality to match this graph (slide 4)
x > -5
You want to see a PG 13 movie, write an inequality to show how old you can be to watch the movie. Let a be your age.
a ≥ 13
19x - 9x + 2 = 42
10x + 2 = 42
x = 4
8(3t + 4) > 104
24t + 32 > 104
24t > 72
t > 3
Solve: 5x - 6 < 44
x < 10
Graph x ≤ 2
Closed circle over 2 and numbers to the left highlighted.
I have 5 pencils already. I am given 2 packs of pencils that contain x pencils. Now I have 33 pencils. How many pencils were in each pack?
2x + 5 = 33
2x = 28
x = 14