Inequalities
Solve the inequality.
(3/8)x + 2 ≥3
x ≥ (8/3)
6p+8p−1.2p
12.8p
a(1+2+3)
1a + 2a + 3a or 6a
5x - 15
5(x - 3)
−7(h−6)=−63
h = 15
A cardboard box can hold no more than 18 pounds. A butcher is able to place 6 pounds of steaks and (1/2) of an order of ground beef into this box.
Write an inequality whose solution is the weight of the whole order of ground beef.
(1/2)x+6≤18
Write an equivalent expression: 9(p+6)−7(p+6)
2p - 12
−5(7m−2)
-35m +10
−9x+15y
-3(3x - 5y)
−9f−(−8)=35
f = -3
-6y−2 ≥ 10
Solve for y. Include a number line in your response.
y is less than or equal to -2.
Write an expression that is equivalent to -4(x+2)−2x+4
Answers vary. Some possible answers:
-6x - 4
-4x + -8 -2x + 4
2(3a + 5b)
6a + 10b
12a + 3b
3(4a + b)
−5m+(−17)=8
m=-5
Tyler has run 15 miles this month. For the rest of the month, he plans to run the same number of miles each day. There are 12 days left in the month. Before the end of the month, Tyler needs to run at least 35 miles to meet his goal.
Write an inequality that describes this situation, where m is the number of miles Tyler runs each day to meet his goal.
35 is less than or equal to 15 + 12m
Write an expression equivalent to -4(x+3)−12x+5 that only has two terms.
-16x + -7
(2/3) (15x - 18)
10x - 12
10a - 12
2(5a - 6)
(3/8)(p+2)=−6
p = -18