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WorksheetsWeek 23 (period 3) Solving Inequalities/Integer Operations
Total questions: 20
Worksheet time: 1hrs 21mins
Name
Class
Date
1.
Solve:
6x+10>5x-12
6x+10>5x-12
a)
x>2
b)
x<2
c)
x<-22
d)
x>-22
2.
-4x + 14 ≤ 54
a)
x ≥ - 10
b)
x ≤ -10
c)
x ≥ 10
d)
x ≤ 10
3.
Solve:
7(x + 3) < 5x + 13
7(x + 3) < 5x + 13
a)
x>-4
b)
x < 17
c)
x<-4
d)
x > -17
4.
Solve the inequality.
- 3(9 + x) ≥ - 21
- 3(9 + x) ≥ - 21
a)
x ≤ 2
b)
x ≥ 2
c)
x ≥ - 2
d)
x ≤ - 2
5.
Match the graph with its inequality.
a)
a > 11
b)
a < 11
c)
a ≥ 11
d)
a ≤ 11
6.
Match the graph with its inequality.
a)
b > –2
b)
b < –2
c)
b ≥ –2
d)
b ≤ –2
7.
Which is the solution to the following inequality?
d - 5 > -4
-3
a)
d < 17
b)
d > 17
c)
d < 7
d)
d > -7
8.
4(2x−1)>−7+2x
a)
x<−2
b)
x<−21
c)
x>−2
d)
x>−21
9.
Solve the equation:
½ (2x + 6) = 3x + 13
½ (2x + 6) = 3x + 13
a)
no solution
b)
x = 8
c)
x = -5
d)
x = 7
10.
½x + ⅓x = 5
a)
x = ⅕
b)
x = 1
c)
x = 5
d)
x = 6
11.
Solve:
3(x - 2) < 2(x + 9)
3(x - 2) < 2(x + 9)
a)
x<24
b)
x>12
c)
x<12
d)
x>24
12.
What is the FIRST step to solving this inequality?
−4(x−9)+2x≥−27
a)
Subtract 2x on both sides
b)
Distribute: multiply -4 by x and by -9
c)
Add x to 2x
d)
Add 9 to both sides
13.
Solve the inequality. Don't forget to check your solution set.
12 ≥ 15 - 6y
12 ≥ 15 - 6y
a)
y ≤ ½
b)
y ≤ 2
c)
y ≥ ½
d)
y ≥ 2
14.
43x+5>11
a)
x>8
b)
x>−8
c)
x>−1
d)
x<4
15.
-11 - 15 + 19
a)
-7
b)
23
16.
-15 - 3
a)
12
b)
-12
c)
-18
d)
18
17.
Multiply -3 x (-5)
a)
-8
b)
-15
c)
15
d)
3
18.
-7 - (-7)
a)
0
b)
14
c)
-14
d)
7
19.
In Buffalo, New York, the temperature was -14°F in the morning. If the temperature dropped 7°F, what is the temperature now?
a)
-7°F
b)
-21°F
c)
7°F
d)
21°F
20.
A submarine was situated 800 feet below sea level. If it ascends 350 feet, what is its new position?
a)
450
b)
-450
c)
1150
d)
-1150
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