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Homework (Due 9-13-2019)

Total questions: 25

Worksheet time: 6hrs 15mins

Name
Class
Date
1.
|v + 8| − 5 = 2 
a)
{-1,-15}
b)
{-1,-5}
c)
{-15,15}
d)
No Solution
2.
|−4 + 5x| = 16
a)
{16/5,12/5}
b)
{4,-5}
c)
{-12/5, 4}
d)
4
3.
∣ 2x + 9 ∣ = 15
a)
x = 3 
b)
x = 3
x = -6
c)
x = 3
x = -12
d)
x = 6
x = -12
4.
|v + 8| − 5 = 2 
a)
{-15,-1}
b)
{-1,-5}
c)
{-15,15}
d)
No Solution
5.
What is the reason that absolute value is always written as a positive?
a)
Absolute value is talking about numbers so it must be positive.
b)
Absolute value does not always have to be positive.
c)
Absolute value is like a clock it has only positive numbers.
d)
Absolute value is talking about distance, distance is always measured by positive numbers.
6.
Order the numbers from least to greatest.
-2, I8I, 5, I-10I, 6
a)
-2, I8I, 5, I-10I, 6
b)
-10, -2, 5, 6, 8
c)
-2, 5, 6, 8, 10
d)
I-10I, -2, 5, 6. I8I
7.

Solve for p. 9|9 - 2p| = 81

a)

p = 0, p = -9

b)

p = -63/2, p = 99/2

c)

p = 0, p = 9

d)

No Solution

8.
Solve:
 |x + 3| > 8
a)
x > 5 or x < -11
b)
x > 5
c)
all real numbers
d)
no solution
9.
Solve:
3 | 2x + 7| - 7 < -4
a)
x < -3 and x > -5/3
b)
x < -3 and x > -4
c)
all real numbers
d)
no solution
10.
Solve.
|2x - 1| = 7
a)
x = -3 or x = 4
b)
x = 4
c)
x = 4 or x = -4
d)
no solution
11.
Solve.
-5|x - 4| > 20
a)
x < 8 and x > 0
b)
x > 8 or x < 0
c)
all real numbers
d)
no solution
12.
Simplify by combining like terms:
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
13.
3x-5x
a)
2x
b)
8x
c)
-2x
d)
15x2
14.
n -10 +9n -3=
a)
-3
b)
9n-3
c)
n
d)
10n -13
15.
5(a + 6)
a)
5a + 6
b)
a + 30
c)
5a + 30
d)
5a - 30
16.
2(c - 8)
a)
2c - 16
b)
2c + 16
c)
2c - 8
d)
c - 16
17.
-3(2c - 5)
a)
-6c - 15
b)
-6c + 15
c)
6c + 15
d)
6c - 15
18.
When graphing b< 6 would you use an open or closed circle?
a)
Open
b)
closed
19.
When graphing b ≤ 6 would you use an open or closed circle?
a)
Open
b)
closed
20.
Which graph matches the inequality
k < 3?
a)
A
b)
B
c)
C
d)
D
21.
Which graph matches the inequality
2 > p?
a)
A
b)
B
c)
C
d)
D
22.
Which graph matches the inequality
-2 ≥ n?
a)
A
b)
B
c)
C
d)
D
23.

Solve:
 −3 ≤ 2x−1 ≤ 5-3\ ≤\ 2x-1\ ≤\ 5  

a)

 −1 ≤ x ≤ 3-1\ ≤\ x\ ≤\ 3  

b)

 −2 ≤ x ≤ 6-2\ ≤\ x\ ≤\ 6  

c)

 −3 ≤ x ≤ 3-3\ ≤\ x\ ≤\ 3  

d)

 1 ≤ x ≤ 31\ ≤\ x\ ≤\ 3  

24.

Simplify the following compound inequality:
 16≤2x+6<3016\le2x+6<30  

a)

 x≥5x\ge5  and  x<12x<12  

b)

 x≥2x\ge2  and  x<11x<11  

c)

 x≥5x\ge5  or  x<12x<12  

d)

 x≥2x\ge2  or  x<11x<11  

25.
2c - 12 = 9c + 2
a)
14
b)
2
c)
-2