Algebra 2 Honors - Equations and Inequalities Review

Order of Operations

100

a^2-2(b-6)-17, a=-7, b=2

40

200

(4c+9d)^2/{c^2+3d^2}, c=3, d=-2

12/7

300

((sqrt(225)-11)*12)/{-12-(8-6^2)}-abs(-3)

0

400

(1/4)((5/6)^2-(1/2)^2)

1/9

500

sqrt(abs(-sqrt(((7*3)+((3^2-2^2)*2)^2))-(-7*-2)

5

Equations

100

2(2-7y)-5=111

y=-8

200

(3(5-3x))/-4=-15

x=-5

300

5/6w+21=-1/3(2w-9)

w=-12

400

Solve the following equation for v.

2v={wh-iv}/{3z}

v={wh}/{6z+i}

500

8/(3x-2)=-3/(2x+1)

x=-2/25

Abs. Value Equations

100

-5=abs(8-p)-11

p=2, p=14

200

abs({y+9}/4)=5

y=-29, y=11

300

-20=-abs({2k}/5)-8

k=-30, k=30

400

3z-8=abs((1/2)z-6)

z=4/5,z=4

500

-4abs(-(2/3)n+4)=-64

n=-8,n=30

Inequalities

100

Solve the inequality. Write your answer in interval notation.

-7a-11<1-4a

(-4,oo)

200

Solve the inequality. Write your answer in interval notation.

r+10le-3(2r-3)+6(r+3)

(-oo,17]

300

Solve the following set of inequalities. Write your answer in interval notation.

10n-9> -59, n-6le3

(-5,9]

400

Solve the inequality. Write your answer in interval notation.

-8<(6-c)/-5le10

(-34,56]

500

Solve the following inequality. Write your answer in interval notation.

-1/8ge-4x-1/2, 3/5>1/4(x-2)

[-3/32,22/5)

Abs. Value Ineq.

100

Solve the inequality. Write your answer in interval notation.

abs(x-4)ge8

(-oo,-4]cup[12,oo)

200

Solve the inequality. Write your answer in interval notation.

abs(7-4n)le27

[-5, 17/2]

300

Solve the inequality. Write your answer in interval notation.

-10abs(2r-1)<60

(-oo, -5/2)cup(7/2,oo)

400

Solve the inequality. Write your answer in interval notation.

6abs(-5k)+7>37

(-oo,-1)cup(1,oo)

500

Solve the following inequality. Write your answer in interval notation.

-2/3abs(3x-4)ge-4

[-2/3,10/3]