Two-Step Inequalities: Algebra 1 Practice Problems, Summaries of Algebra

Period____. Date________________. Two-Step Inequalities. Solve each inequality and graph its solution. 1) −4 − 5v < −29. 1. 2.

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Kuta Software - Infinite Algebra 1 Name___________________________________
Period____Date________________
Two-Step Inequalities
Solve each inequality and graph its solution.
1)
−4
5
v
< −29
1 2 3 4 5 6 7 8 9 10
2)
−2
+
r
9
> −1
6 7 8 9 10 11 12 13 14
3)
−1
+
4
x
≤ 31
6 7 8 9 10 11
4)
−3
+
2
b
< 13
34567891011
5)
m
6
− 5
≥ −6
−8 −7 −6 −5 −4 −3 −2
6)
5
+
n
2
> 8
45678
7)
3
n
− 3
> 12
3 4 5 6 7 8 9 10
8)
−2
(
x
+ 3
) > −16
345678
9) −40
<
5
+
5
x
−12 −11 −10 −9 −8 −7 −6 −5
10) −6
>
m
2
− 4
−7 −6 −5 −4 −3 −2 −1
11)
9
(
x
+ 7
) ≥ 198
10 11 12 13 14 15 16 17 1 8 19
12)
p
2
+ 7
≤ 10
2 3 4 5 6 7 8 9
-1-
pf3
pf4

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Kuta Software - Infinite Algebra 1 Name___________________________________

Two-Step Inequalities Date________________Period____

Solve each inequality and graph its solution.

1) −4 − 5 v < −

r

3) −1 + 4 x ≤ 31

4) −3 + 2 b < 13

m

n

7) 3 n − 3 > 12

8) −2( x + 3) > −

9) −40 < 5 + 5 x

m

11) 9 ( x + 7) ≥ 198

p

13) 36 ≥ 6 (−4 + a )

14) −52 < 8 − 5 k

x + 6

16) 5 ( a + 2) > −

v

18) 18 > 2 ( v + 10)

−3 + m

9 + b

21) 7 n + 6 ≥ −

22) 143 ≤ 11 b + 11

v

24) 8 − 7 n > −

13) 36 ≥ 6 (−4 + a )

14) −52 < 8 − 5 k

x + 6

16) 5 ( a + 2) > −

v

18) 18 > 2 ( v + 10)

−3 + m

9 + b

21) 7 n + 6 ≥ −

22) 143 ≤ 11 b + 11

v

24) 8 − 7 n > −