Linear Inequality Graphing Worksheet
Algebra 1 • Unit 3
Linear Inequalities in One Variable
Solve multi-step inequalities algebraically and graph each solution set.
Name:
Date: Pd:
Directions Show all algebraic steps. Write your final inequality in the solution box, then graph it.
Page 1 of 2
1 \(3x - 7 > 8\)
Solution:
Show Algebraic Work
Graph Solution ∘ open / • solid
1 2 3 4 5 6 7 8 9
2 \(-4y + 6 \ge 22\)
Solution:
Show Algebraic Work
Graph Solution ∘ open / • solid
-8 -7 -6 -5 -4 -3 -2 -1 0
3 \(5m - 6 < 2m + 9\)
Solution:
Show Algebraic Work
Graph Solution ∘ open / • solid
1 2 3 4 5 6 7 8 9
4 \(3(2k - 4) \ge 18\)
Solution:
Show Algebraic Work
Graph Solution ∘ open / • solid
1 2 3 4 5 6 7 8 9
5 \(8 - 5w \le 2w + 29\)
Solution:
Show Algebraic Work
Graph Solution ∘ open / • solid
-7 -6 -5 -4 -3 -2 -1 0 1
Linear Inequalities in One Variable
Multi-Step Practice (Continued)
Name:
Page 2 of 2
6 \(-2(3x - 5) > 28\)
Solution:
Show Algebraic Work
Graph Solution ∘ open / • solid
-7 -6 -5 -4 -3 -2 -1 0 1
7 \(4(p + 3) - 7 \le 2p + 11\)
Solution:
Show Algebraic Work
Graph Solution ∘ open / • solid
-1 0 1 2 3 4 5 6 7
8 \(14 - 3(2n - 1) \ge 5\)
Solution:
Show Algebraic Work
Graph Solution ∘ open / • solid
-2 -1 0 1 2 3 4 5 6
9 \(8(x - 1) - 3x \le 2x + 7\)
Solution:
Show Algebraic Work
Graph Solution ∘ open / • solid
1 2 3 4 5 6 7 8 9
10 \(-3(2t + 5) < 5(1 - t) - 14\)
Solution:
Show Algebraic Work
Graph Solution ∘ open / • solid
-10 -9 -8 -7 -6 -5 -4 -3 -2
Rule Reminder When multiplying or dividing both sides by a negative number, always reverse the inequality symbol.
Algebra 1
