Solving Equations
5 - 4a = a - 13
z = 18/5
A movie theater sold 240 tickets. It sold four times as many adult tickets as children’s tickets.
How many adult tickets were sold?
192 Adult tickets
-6x - 5< 13
x > -3
|x-3|=7
x = 11, -4
9/2 + 9x = 4
x = -1/18
A basketball team played thirty-two games and won three times as many games as it lost.
How many games did the team win?
x = 8
Team won 8 * 3 =24 Games
-y - 5 >= -12
y <= 7
|2x + 5| = 9
x = 2, -7
12 - 2m + 3/4 = 5m + 10
m = 11/28
3/5x = 15/9
x = 25/9
Write Interval notation for the solution
4y + 3 <= -6y - 9
y <= -6/5
(-infinity, -6/5]
|3x - 4| + 2 = 10
x = 4, -4/3
-40x + 45 = 3[7-2(7x-4)]
x = 0
A school library has 210 books. The number of fiction books is twice the number of nonfiction books, and the number of reference books is 30 more than the number of nonfiction books.
How many fiction books are in the library?
90
Write Interval notation for
2x + 5 < -17 or -4x + 10 <= 34
x < -11 or x>= -6
(-infinity, -11) U [-6, infinity)
|2x − 1| + 5 = 2
No solution
2[9-3(-2x-4)] = 12x + 42
Infinitely Many solutions
One hundred and sixty guests attended a banquet. Three servers provided their beverages.The first server helped three times as many people as the second server and the third server helped twice as many people as the first server. How many guests did each server help?
First = 3 * 16 = 48
Second = 16
Third = 6 * 16 = 96
Provide interval notation
-15 < -4x - 5 < 0
5/2 > x > -5/4
(-5/4, 5/2)
|4x + 1| = |2x - 7|
x = -4, 1