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Test #1 - Algebra 2

Total questions: 25

Worksheet time: 5hrs 5mins

Name
Class
Date
1.
∣ 2x + 9 ∣ = 15
a)
x = 3 
b)
x = 3
x = -6
c)
x = 3
x = -12
d)
x = 6
x = -12
2.

−2|−2r − 4| = -12

a)

x = 5 and x = 1

b)

x = -5 and x = -1

c)

x = -5 and x = 1

d)

No Solution

3.
3| −8x| + 8 = 80
a)

x = -7/3

x = 7/3

b)

x = -3

x = 3

c)

x = 11/3

x = -11/3

d)
No Solution
4.
-|−2r − 1| = 11
a)

x = -6

x = 5

b)

x = 5

x = -6

c)

x = -6

d)
No Solution
5.
What inequality does the number line graph represent?
a)
-x + 5 ≥ 9
b)
2x - 3 > 5
c)
-x + 3 ≤ 7
d)
-2x + 6 > -2
6.

Solve

a)

x ≤ 12

b)

x ≥ 12

c)

x ≥ 14

d)

x ≥ 23

7.

Solve


-2(x + 2) < 14

(a)  

8.

-4(5x + 3) - 6x > 11 - 3x

a)

x < -1

b)

x < -7

c)

x < 5

d)

x > 4

9.

Solve the following compound inequality:


−8 < 2(x + 4) or −3x + 4 > x − 4

a)

No solutions

b)

x < −8 or x < 2

c)

x > −8 or x < 2

d)

x < −8 and x < 2

10.

−6 < 2t − 5 < 3

a)

−0.5 < t < 4

b)

0.5 < t < −4

c)

−11/2 < t < 2

d)

11/2 < t < −2

11.
3x-4< -13 or 7x+1> 22
a)
All Real numbers
b)
  x>3   and x>-9
c)
The answer is not listed
d)
x<-3   or x>3
12.
Solve:  -3 ≤ 2x - 1 ≤ 5
a)
-1 ≤ x ≤ 3
b)
-1 < x < 3
c)
1 < x < 3
d)
1 ≤ x ≤ 3
13.
a)
v>5 or v<-5
b)
v≥5 or v≤-5
c)
v>-5 or v<5
d)
all real numbers
14.
a)
no solution
b)
-6 ≤ r ≥ 8
c)
6 > r > -8
d)
-6 < r < 8
15.
a)
n > 1 or n < -7
b)
n > -1 or n < -7
c)
-7 < n < -1
d)
no solution
16.
| x + 1 | ≥ 3
a)
No Solution
b)
All Real Numbers
c)
x ≤ -4  or  x ≥ 2
d)
-4 ≤ x ≤ 2
17.

Classify 0

a)

Irrational

b)

Rational

c)

Integer

d)

Whole

e)

Natural

18.
What is the MULTIPLICATIVE INVERSE of
8
a)
-8
b)
-1/8
c)
1/8
d)
1
19.

Add (11x + 2) + (9x - 4)

a)

20x - 6

b)

20x - 2

c)

2x - 6

d)

2x -2

20.

Solve the following for x:

dx + e = f

a)

x = (f + e)/d

b)

x = (f - e)/d

c)

x = d/(e - f)

d)

x = d/(e + f)

21.

Solve:

3(x5)=243\left(x-5\right)=24  



(a)  

22.

Solve:

0.3(5+y)=120.3\left(5+y\right)=12  



(a)  

23.

Solve:

45(c+12)=8\frac{4}{5}\left(c+12\right)=-8  



(a)  

24.

Solve:

8.7w3=5.5w+3.48.7w-3=5.5w+3.4  



(a)  

25.
Write an inequality for Graph 2.
a)
-2 ≤ x < 5
b)
x ≤ -2 AND x > 5
c)
x ≥ -2 OR x < 5
d)
-2 ≤ x ≤ 5