Sterling Middle School
Algebra 1
Homework #13 – solving Inequalities
NAME: ___________________________________DATE: __________________________
Solve the inequality.
1)
x – 7 ≥ -4
3)
12 + y > 12
5) 9z ≤ -7z + 14
7)
-2x – 7 ≥ 1
2)
4)
6)
8)
3x < -6
𝑦
2
≤
2
10 – 11d > -5d – 4
𝑦
−3
>
-1
Sterling Middle School
Algebra 1
Homework #13 – solving Inequalities
Translate the verbal sentence into an inequality and solve.
9) Three more than 2 times
a number x is greater
than 27.
10) The sum of 5q and 8q is
less than the difference of 4q
and 22.
11) Twice the sum of 4 and
p is less than -16.
12) A weaver spends $420 on supplies to make wall hangings and plans to sell the wall
hangings for $80 each. Write an inequality that gives the possible numbers (w) of wall
hangings the weaver needs to sell in order for the profit to be positive. What are these
possible numbers?
Solve the inequality, if possible.
13)
-2(y – 1) < -22
14) 4(3 – 2y) > 36
15) 4(c – 5) < 2(c – 10)
16)
6x + 2 ≤ 5x + 2
17) 2(5 – a) > 4a + 13 – 6a
18) 4m + 14 – 2m ≤ 2(m + 7)