WorksheetsSolving and Graphing Two-Step Inequalities
Total questions: 10
Worksheet time: 37mins
Name
Class
Date
1.
-4x + 14 ≤ 54
a)
x ≥ - 10
b)
x ≤ -10
c)
x ≥ 10
d)
x ≤ 10
2.
Match the graph with its inequality.
a)
b > –2
b)
b < –2
c)
b ≥ –2
d)
b ≤ –2
3.
Which graph matches the inequality
k < 3?
a)
A
b)
B
c)
C
d)
D
4.
Ross and Chandler go to Taco Land and order sodas for a total of $3.50. They also want to order some tacos (of course), which cost $1.75 each. If they have $20, how many tacos can they buy? Which inequality best represents the situation.
a)
3.50 + 1.75t > 20
b)
1.75 + 3.50t ≤ 20
c)
3.50 + 1.75t ≥ 20
d)
1.75t + 3.50 ≤ 20
5.
A local bakery has a daily operating cost of $1800 plus a cost of $10 per cake they make. If a cake sells for $15, which equation could be used to determine the minimum number of cakes, c, they must sell each day to earn a profit?
a)
15c < 1800 + 10c
b)
15c > 1800 + 10c
c)
15c = 1800 + 10c
d)
10c < 1800 + 15c
6.
Do I need to flip my sign?
-3x ≥ 12
-3x ≥ 12
a)
Yes, because I'll be dividing by a negative number
b)
No, because you never flip the sign.
7.
6+21x−4≤10
a)
x≤16
b)
x≤−16
c)
x≥16
d)
x≥−16
8.
When you graph an inequality, you use a closed dot when you use which symbols?
a)
≤, ≥
b)
<, >
c)
≤, <
d)
≥, >
9.
Which graph matches the inequality
-2 ≥ n?
-2 ≥ n?
a)
A
b)
B
c)
C
d)
D
10.
Jack wants to buy a Wii that costs $284. He has $80 and plans to save $25.50 each week. Which equation would represent this situation?
a)
25.50w + 80 = 284
b)
25.50 + 80w = 284
c)
284 - 25.50 = 80w
d)
25.50w + 284 = 80
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