Terms that have the same variable part are called like terms. Like terms can be added or subtracted to form a single term.
1.
16x - 4x = -48
First, combine the like terms 16x and -4x.
12x = -48
Now divide both sides by 12.
x = -4
2.
7m - 5 - 13m = 25
First, combine the like terms 7m and -13m.
-6m - 5 = 25
Now add 5 to both sides.
-6m = 30
Divide both sides by -6.
m = -5
3.
12.25 = 0.5q + 3.75
Subtract 3.75 from both sides.
8.5 = 0.5q
Multiply both sides by 2.
17 = q
q = 17
4.
2(2x - 4) + x = 7
Distribute the 2.
4x - 8 + x = 7
Combine 4x and x.
5x - 8 = 7
Add 8 to both sides.
5x = 15
Divide both sides by 5.
x = 3
5.
8 = 3(3x + 8) - x
Distribute the 3.
8 = 9x + 24 - x
Combine 9x and -x.
8 = 8x + 24
Subtract 24 from both sides.
-16 = 8x
Divide both sides by 8.
-2 = x
x = -2
Step-by-step explanation:
-3(2x-6)+4=-6x+18+4=-6x+22
Answer: 34,788967
Step-by-step explanation:
The answer would be C.
Hope this helps! (:
• The ball is at the same height as the building between 8 and 10 seconds after it is thrown. TRUE - the height is zero somewhere in that interval, hence the ball is the same height from which it was thrown, the height of the roof of the building.
• The height of the ball decreases and then increases. FALSE - at t=2, the height is greater than at t=0.
• The ball reaches its maximum height about 4 seconds after it is thrown. TRUE - the largest number in the table corresponds to t=4.
• The ball hits the ground between 8 and 10 seconds after it is thrown. FALSE - see statement 1.
• The height of the building is 81.6 meters. FALSE - the maximum height above the building is 81.6 meters. Since the ball continues its travel to a distance 225.6 meters below the roof of the building, the building is at least that high.
1. TRUE
2. False
3. TRUE
4. False
5. False
