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Algebra 2AB Unit 2 Quiz #1 Review

Total questions: 15

Worksheet time: 2hrs 44mins

Name
Class
Date
1.

|−4 + 5x| = 16

a)

{16/5,12/5}

b)

{4,-5}

c)

{-12/5, 4}

d)

4

2.
−2|−2r − 4| = -12
a)
{5,1}
b)
{-5, -1}
c)
{-5, 1}
d)
No Solution
3.

An extraneous solution is

a)

not a concern when solving absolute value equations

b)

an apparent solution that must be rejected because it does not satisfy the original equation

4.

What is the solution of ∣5x-2∣=7x+14?

a)

x=-1

b)

x=-1, x=-8

c)

x=-8

d)

no solutions

5.

Solve:
 3x+15=3(x+5)3x+15=3\left(x+5\right)  

a)

No Solution

b)

x = 15

c)

All Real Numbers

d)

x = 0

6.

Solve:
 3x+2<4 or 4x+4>243x+2<-4\ or\ 4x+4>24  

a)

x < -2 or x > 5

b)

x < 2 or x > 5

c)

x < -2 and x > 5

d)

x < 2 and x > 5

7.

Which number line represent the solution to the inequality −7x −13 ≥ 8?

a)

Line A

b)

Line B

c)

Line C

d)

Line D

8.
Solve for x:
a)
x = yb - v
b)
x = by - v
c)
x = by + v
9.


 Solve    cxb=ax+d Solve\ \ \ \ cx-b=ax+d\   for x and state any restrictions.

a)

 x=d+bca; a0, c0x=\frac{d+b}{c-a};\ a\ne0,\ c\ne0  

b)

 x=d+bca; cax=\frac{d+b}{c-a};\ c\ne a  

c)

 x=d+bca; ca0x=\frac{d+b}{c-a};\ ca\ne0  

d)

 x=d+bca; c=ax=\frac{d+b}{c-a};\ c=a  

10.

Solve xm=x+zxm=x+z  for x and state any restrictions.


a)

 x=zm1; m0 x=\frac{z}{m-1};\ m\ne0\   

b)

 x=zm1; no restrictionsx=\frac{z}{m-1};\ no\ restrictions  

c)

 x=zm1; m1x=\frac{z}{m-1};\ m\ne1  

d)

 x=zm; no restrictionsx=z-m;\ no\ restrictions  

11.

 9.2k+10(k+9)=8.6k+4.1(k+2.8)9.2k+10\left(k+9\right)=8.6k+4.1\left(k+2.8\right)  

a)

k = -15.9

b)

k = -12.08

c)

No solution

d)

k = -6

12.

 16n+237=12n+14542\frac{1}{6}n+\frac{23}{7}=-\frac{1}{2}n+\frac{145}{42}  

a)

 710\frac{7}{10}  

b)

 109\frac{10}{9}  

c)

 14\frac{1}{4}  

d)

 5316\frac{53}{16}  

13.

The sides of a triangle are in the ratio of 7:12:13. If the perimeter of the triangle is 96 in, what is the length of the longest side?

a)

3

b)

21

c)

39

d)

45

14.

 Solve x+3=x11Solve\ \left|x+3\right|=\left|x-11\right|  

a)

 x=3, x=11x=-3,\ x=11  

b)

 All real numbersAll\ real\ numbers  

c)

 x=4x=4  

d)

 No solutionNo\ solution  

15.

 Solve 3x1=2x+4Solve\ \left|3x-1\right|=\left|2x+4\right|  

a)

 x=35, x=5x=-\frac{3}{5},\ x=5  

b)

 x=13, x=5x=\frac{1}{3},\ x=-5  

c)

 x=53, x=5x=\frac{5}{3},\ x=5  

d)

No solution