Operations and Absolute Value
A {2, 4, 6, 8, 10, 12}
Subset that is a multiple of 4
B {4, 8, 12}
-4x + 3x = 2
x = -2
5x - 4 = 4x
x = 4
-3x > 15
x < -5
2x - 5 > 3 or -4x + 7 < -25
x > 4
Order from least to greatest: 3.5, 10/3, sqroot(14)
10/3, 3.5, sqroot(14)
10(5 - n) - 1 = 29
x = 2
5(n - 7) = 2(n + 14)
n = 21
(1/4)x > 1/2
x > 2
8x + 3 > -13 and 2x + 6 < 16
-2 < x < 5
|x| - 4 = 9
x = -13, 13
(1/2)x + 2 = 1
x = -2
6y - 8 = 2(3y - 4)
identity (infinite solutions)
2(7x - 2) > 9x + 6
x > 2
-x + 1 > -2 or 6(2x - 3) (greaterthanorequalto) -6
all real numbers
|-2x + 8| = 20
x = -6, 14
34, 36, 38
5(5x + 1) = 25x - 7
no solution
(3/4)x + (3/4) - (1/2)x (greaterthanorequalto) -1
x (greaterthanorequalto) -7
-x + 1 > -2 and 6(2x - 3) (greaterthanorequalto) -6
1 (lessthanorequalto) x < 3
2 (less than or equal to) |x| - 8
x (less than or equal to) -10 or x (greater than or equal to) 10
Jacinta buys 8 pounds of turkey and 2 pounds of ham. She pays a total of $28, and the turkey costs $1.50 less per pound than the ham. What would be the combined cost of 1 pound of turkey and 1 pound of ham?
ham = $4, turkey = $2.50
3y = [(8-12y)/4] + 2
y = 2/3
Charlie can spend $8 on lunch. He buys a tuna sandwich for $4.25, apple juice for $2.25, and wants to buy x pounds of potato salad at $4 per pound. How much potato salad can he buy?
At most 0.375 pounds
Write a compound inequality: A quantity x is at least 10 and at most 20.
x (greaterthanorequalto) 10 and x (lessthanorequalto) 20, 10<x<20