Integers Operations
−8+(−6)−5
-19
The temperature is −30 C in the morning. By noon, it rises 7 degrees. What is the new temperature?
−3+7=40 C
x + 4 > 9
x > 5
x+3 when x = 8
11
Simplify: 5x+3x
5x+3x=8x
−15−(−4)+9
-2
A submarine is 15 m below sea level. It rises 9 m. What is its new position relative to sea level?
−15+9=−6 m
3x ≤ 12
x ≤ 4
2x+ 5 when x = 10
25
Simplify: 7y−2y+4
7y−2y+4=5y+4
6+(−4)×(−3)
18
A hockey team loses 4 points in each of 6 games. What is the total change in points?
−4×6=−24
2x - 5 ≥ 9
x ≥ 7
3x+1 - (-2) when x = (-3)
-6
Expand: 3(x+4)
3(x+4)=3x+12
(−36)÷6+(−5)
-11
The temperature drops 4 degrees every hour for 5 hours, starting at 60 C.
What is the final temperature?
Drop per hour: −4
Total drop: −4×5=−20-
6+(−20)=−140 C
-4x < 20
x > -5
4(x−2)+ 6 - (1 + 3x) when x = 3
0
Expand and simplify: 2x+3(x−5)
2x+3(x−5)
=2x+3x−15
=5x−15
−18+4×(−6)÷3
-26
A hiker starts at an elevation of 120 m above sea level. They descend 35 m, then climb 18 m, and finally descend 60 m. What is the hiker’s final elevation relative to sea level?
Start: +120+120+120 m. Descend 35 m → 120−35=85. Climb 18 m → 85+18=103. Descend 60 m → 103−60=43.
The hiker ends 43 m above sea level.
A movie ticket costs $8. You have at most $40 to spend. Write and solve an inequality to find the maximum number of tickets you can buy.
8x ≤ 40
x ≤ 5
Which value of x makes the statement true: 3(x−1)=6? Does x=2 or does x=5
Trick question! Neither value makes the statement true. Correct value would be x=3
Factor completely:6x+12
6x+12=6(x+2)