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Algebra 2A Unit 2 Test Review

Total questions: 29

Worksheet time: 1hrs 8mins

Name
Class
Date
1.

Write the algebraic expression: The product of 3 and the difference of twice a number and 4.

a)

2(4 - 3x)

b)

3(4 - 2x)

c)

2(3x - 4)

d)

3(2x - 4)

2.

12 less than five times a number

(a)  

3.
Solve:
2(a + 4) = 2a - 8 + 4a
a)
3
b)
-3
c)
-4
d)
4
4.

Solve the equation

(a)  

5.

Solve the equation

(a)  

6.

Solve the equation.

(a)  

7.

Solve the equation.

(a)  

8.

Solve the equation.

(a)  

9.
Solve the literal equation for the given variable.
a)
2A/h
b)
2/(h)
c)
2Ah
d)
Ah/2
10.

pV = nRT

solve for R

a)

R= p/n + V/T

b)

R= pV - nT

c)

R= (pV-n)/T

d)

R=(pV)/(nT)

11.

solve the inequality

a)

x < -1

b)

x < 1

c)

x > -1

d)

x > 1

12.
-3 − 6(4x + 6) > -111
a)
x > 3
b)
x < 3
c)
x < -3
d)
x > -3
13.

solve the inequality

a)

r \le -2

b)

r \le 0

c)

r \ge -4

d)

r \le 3

14.

 4+5x=16\left|-4+5x\right|=16  

a)

{16/5,12/5}

b)

{4,-5}

c)

{-12/5, 4}

d)

4

15.

 82x + 4= 968\left|-2x\ +\ 4\right|=\ 96  

a)

x = -4, x = 8

b)

x = -4

c)

x = -4, x = -8

d)

x = 4, x = 8

16.



(a)  

17.



(a)  

18.

 x  6+ 4 = 10\left|x\ -\ 6\right|+\ 4\ =\ 10  

Solve for x

a)

x = 12 and x = 0

b)

x = 3 and x = -3

c)

x = -12 and x = 0

d)

No Solution

19.

Solve for x
 34w  1   5 = 103\left|4w\ -\ 1\right|\ \ -\ 5\ =\ 10   

a)

x = 1.5 and x =-1

b)

x = -1.5 and x = 1

c)

x =1 and x = -1

d)

No Solution

20.

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

21.

Solve: -3 ≤ 2x - 1 ≤ 5

a)

-1 ≤ x ≤ 3

b)

-2 ≤ x ≤ 6

c)

-3 ≤ x ≤ 3

d)

1 ≤ x ≤ 3

22.

Solve:

3x + 2 < -7 or -4x + 5 < 1

a)

All real numbers

b)

x < 3 and x > 1

c)

x < -3 or x < 1

d)

x < -3 or x > 1

23.

Give the solution set for: -13<2x+5<15

a)

-9>x>5

b)

-9<x<5

c)

-4<x<5

d)

-4>x>5

24.

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

25.
a)
- 1/2 ≤ z ≤ 5/2
b)
1/2 ≤ z ≤ 5/2
c)
z ≥ 1/2 or z ≤ 5/2
d)
z ≤ 1/2 or z ≥ 5/2
26.
a)
- 1/3 < n or n > 5/3
b)
-1/3 < n < 5/3
c)
1/3 < n < 5/3
d)
n < -5/3 or n > 1/3
27.
Solve.
-5|x - 4| > -20
a)
x < 8 and x > 0
b)
x > 8 or x < 0
c)
all real numbers
d)
no solution
28.

For what value of x is |x - 5| + 3 equal to 3

a)

There is no such value for x

b)

0

c)

5

d)

-5

29.

Company ABC estimates the cost C, in dollars, of producing n items is C = 4n + 200. ABC sells each item for $8, ABC makes a profit when the total income from selling a quantity of items is greater than the total cost of producing that quantitiy of items. Which of the following inequalities gives all possible value of n for which ABC estimates that the company will make a profit?

a)

n < 50

b)

n > 50

c)

n < 20

d)

n > 20