Algebra 2 Chapter 1 Review

Order of Operations

100

5+2(10-2ˆ3)

9

200

4+1/3[(12+6)÷3]

6

300

If a=1, b=-2, and c=5, what is 5b-4c÷(2a)

-20

400

[12(52÷2ˆ2)]/6

26

500

If w=6, x=.4, and y=-3, what is (x-y)ˆ2-2wy

47.56

Solving Equations

100

3d+7=19

d=4

200

-6(p+5)=18

p=-8

300

x+9x-6x+4x=24

x=3

400

3(2c+25)-2(c-1)=78

c=1/4 or .25

500

b/4=2/3(b+5)

b=-8

Absolute Values

100

|2v+1|=7

v=-4, 3

200

4|x+5|=8

x=-3, -7

300

-5|3x+4|=20

no solution

400

2|3a-5|+7=21

a=-2/3 , 4

500

|x+5|=1-3x

x=-1

Absolute Value Inequalities

100

Solve and graph 

|x+2|≤8

x≤6

x≥-10

200

Solve and graph 

8|x-3|>16

x>5

x<1

300

Solve and graph 

|-5x|≥2

x≤-2/5

x≥2/5

400

Solve and graph 

3-|2x|>11

x<-4

x>4

500

Solve and graph 

|3x+1|/4≥-2

x≥-3

x≤7/3

Inequalities

100

Solve and graph 2x+3<11

x<4

200

Solve and graph 2(3-2w)≥18

w≥-6

300

Solve and graph 2≤2w+4<12

-1≤w<4

400

Solve and graph 2|3t-12|+3>21

t<1 or t>7

500

Write and solve an inequality for the following statement: Four less than the quotient of a number and two is at least ten.

n/2 - 4 ≥ 10 n≥28