Algebra 2 Chapter 1 Review

Order of Operations

100

5+2(10-2^3)

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÷2^2)]/6

26

500

If w=6, x=0.4, and y=-3, what is 

(x-y)^2-2wy

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

-3 is extraneous (8 ≠ -8)

Solving for a Variable

100

P=IV for I

I= P/V

200

w = (-3c)/d

for d

d = (-3c)/w

300

Q= 1/4 wj^2

for w

w=(4Q)/j^2

400

A = 1/3 g (2x+y)

for y

y=(3A)/g -2x

 or 

y= (3A-2xg)/(2x)

500

(c(x+4))/(d+3)=1/g

for d

d = cg(x+4)-3

Inequalities

100

Solve and graph 

2x+3<11

x<4   

Interval Notation: (-∞, 4) 

200

Solve and graph 2(3-2w)≥18

w≥-6

Interval Notation: [-6, ∞ )

300

Solve and graph 2≤2w+4<12

-1≤w<4

Interval Notation: [-1, 4)

400

Solve and graph 

2|3t-12|+3>21

t<1 or t>7

IN: (-∞, 1) U (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