Download Algebra 1 Name Unit 6 Date 1. Graph the following inequalities on

Algebra 1
Name _____________________________
Unit 6
Date ______________
1. Graph the following inequalities on the given number lines.
a.
x≥4
b.
−6 ≤ m < −1
2. Write an inequality that represents the solutions on the number lines below.
a.
b. Write this one two different ways:
-4 -3 -2 -1 0 1 2 3 4 x
-5 -4 -3 -2 -1 0 1 2 3 4 x
3. The Saffir-Simpson Hurricane Scale is a 1-5 rating based on a
hurricane's intensity. The wind speeds for the five categories are
shown in the table on the right. Write an inequality to represent
the wind speed range for a category 3 hurricane and an inequality
for a category 5 hurricane. Then graph each on a number line.
4. Solve each inequality below. Represent your solutions algebraically and on a number line.
a.
5 − 3x ≤ 14
b.
7k + 3 > 3(k + 5)
5. Solve and graph the inequality below.
y
9
8
5x + 2y > 8
7
6
5
4
3
2
1
−9
−8
−7
−6
−5
−4
−3
−2
−1
x
−1
1
2
3
4
5
6
7
8
9
1
2
3
4
5
6
7
8
9
10
−2
−3
−4
−5
−6
−7
−8
−9
−10
6. Graph the system of inequalities below.
y
9
8
7
6
2
y ≥ x−5
3
y < −3 x + 3
5
4
3
2
1
−9
−8
−7
−6
−5
−4
−3
−2
−1
−1
x
−2
−3
−4
−5
−6
−7
−8
−9
−10
7. Write and solve an inequality to answer the following problem.
Best Buy is offering games on sale for $12.50, including tax. Sean wants to buy as many games
as he can, but spend no more than $80. What is the maximum number of games Sean can buy?
10
8. Solve each inequality below. Represent your solution algebraically and on a number line.
a. 3 x + 1 ≥ 13 or x < −2
c.
3 x − 4 < 14 and 3 x − 6 x < 12
b.
−9 < 4x + 7 < 15
d.
6 x > 4 x + 2 or 5 x > 15
9. Solve each inequality below. Represent your solution algebraically and on a number line.
a.
4 x − 2 > 10
b.
x +1 + 2 ≤ 8