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1/12 Algebra 2 Quiz 1 Review

Total questions: 28

Worksheet time: 1hrs 26mins

Name
Class
Date
1.
Solve for x: 
4x + 1 = 7x - 5
a)
-1
b)
2
c)
6/11
d)
8
2.
Solve: -7(z - 6) = -70
a)
16
b)
-16
c)
8
d)
-1/2
3.

Solve:

5(v + 3) - 10v > -10

a)

v < 5

b)

v > 5

c)

v > -5

d)

v < -5

4.

Solve:

-8b - 8 > 56

a)

b > 6

b)

b < -8

c)

b > -8

d)

b > 7/2

5.

Solve for a.

-2( -4 + 2a) = 52

a)

a = 11

b)

a = -22

c)

a = -11

d)

a = 22

6.

What inequality is graphed?

a)

x > 2 and x < 4

b)

2 ≤ x ≤ 4

c)

x > 2 or x < 4

d)

x ≥ 2 or x ≤ 4

7.
What inequality is graphed? 
a)
x > 2 and x ≤ -3
b)
x > 2 and x < -3
c)
x > 2 or x ≤ -3
d)
x > 2 or x < -3
8.

Solve: -3 ≤ 2x - 1 ≤ 5

a)

-1 ≤ x ≤ 3

b)

-2 ≤ x ≤ 6

c)

-3 ≤ x ≤ 3

d)

1 ≤ x ≤ 3

9.
What is the range of this function?
a)
All real numbers.
b)
[2, infinity)
c)
[-2, infinity)
d)
[0, infinity)
10.
Determine the domain
a)
All real numbers
b)
(-∞, 6]
c)
[-6, 6]
11.
What is the range of the function shown below?
a)
0 < y < 12
b)
-2 < y < 5
c)
y > 0
d)
All Real Numbers 
12.

What are the x and y intercepts of the graph?

a)

x intercept: 4, y intercept 3

b)

x intercept: 3, y intercept 4

c)

x intercept: 4, y intercept -3

d)

x intercept: -4, y intercept 3

13.

Which mapping diagram is not a function?

a)
b)
c)
d)
14.
For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.
a)
D: {1, -3, -4,}
R: {0, 1, 2, -4}
b)
D: {-4, 0, 1, 2}
R:{-4, -3, 1}
c)
D: {0, 1, 2, 3, 4}
R:{1, -3, -4}
d)
D: {0, 1, 2, -4}
R: {1, -3, -4, 1}
15.

What is the increasing interval for the function below?

a)

(−∞,∞)\left(-\infty,\infty\right)

b)

(−∞,2]\left(-\infty,2\right]

c)

(−∞,6]\left(-\infty,6\right]

d)

(−6,6)\left(-6,6\right)

16.

What is/are the decreasing interval(s) for the function shown?

a)

(2, 4) and (8, ∞)\left(2,\ 4\right)\ and\ \left(8,\ \infty\right)

b)

(−∞, 1) and (8, ∞)\left(-\infty,\ 1\right)\ and\ \left(8,\ \infty\right)

c)

(−∞,1), (−3, 1) and (8, ∞)\left(-\infty,1\right),\ \left(-3,\ 1\right)\ and\ \left(8,\ \infty\right)

d)

(−∞, 1), (2, 4) and (8, ∞)\left(-\infty,\ 1\right),\ \left(2,\ 4\right)\ and\ \left(8,\ \infty\right)

17.
Where is the function positive?
a)
(6, ∞)
b)
(-∞, 6)
c)
(0, ∞)
d)
(-∞, 0)
18.
Where is the function negative?
a)
(6, ∞)
b)
(-∞, 6)
c)
(0, ∞)
d)
(-∞, 0)
19.
Is the graph increasing, decreasing or both?
a)
It is not increasing or decreasing
b)
increasing
c)
decreasing
d)
both
20.
Is the graph increasing, decreasing or both?
a)
It is not increasing or decreasing
b)
increasing
c)
decreasing
d)
both
21.
Is the graph increasing, decreasing or both?
a)
It is not increasing or decreasing
b)
increasing
c)
decreasing
d)
both
22.
|v + 8| − 5 = 2 
a)
{-1,-15}
b)
{-1,-5}
c)
{-15,15}
d)
No Solution
23.
-|−2r − 1| = 11
a)
{-6,5}
b)
{5,-6}
c)
-6
d)
No Solution
24.

∣x+5∣ = −3\left|x+5\right|\ =\ -3  

a)

−2 or −8-2\ or\ -8  

b)

no solution

c)

00  

25.

−2|−2r − 4| = −12

a)

{3, 1}

b)

{−5, 1}

c)

{−5, 5}

d)

No Solution

26.
Solve:
 |x + 3| > 8
a)
x > 5 or x < -11
b)
x > 5
c)
all real numbers
d)
no solution
27.
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
28.
Solve.
-5|x - 4| > -20
a)
x < 8 and x > 0
b)
x > 8 or x < 0
c)
all real numbers
d)
no solution