Unit 2 Review

Solving Equations

100

x + 8 = -2

x = -10

{ -10 }

200

y - 5 = -14

y= -11

{ -11 }

300

-12 x = 132

x= -11

{ -11 }

400

p/4 = -8

p = -32

{ -32 }

500

-5 + w = -2

w = 3

{ 3 }

Solving Harder Equations

100

2x + 5 = 23

x = 9

{ 9 }

200

m/-2 + 7 = 21

m= -28

{ -28 }

300

49 = 5y - 26

y = 15

{ 15 }

400

-2w + 1 = -9

w= 5

{ 5 }

500

-5 + 10b = -75

b=-7

{ -7 }

Solving Rational Equations

100

1 / (x + 1) = 1 / 2

x ≠ -1

x = 1

200

3/(x - 4) = 1/4

x ≠ 4

x = 16

300

2/(x+2) = 1 / (x - 1) 

x ≠ 1 

x ≠  -2

x = 4

400

3/(s-10) = 1 / 10

s ≠ 10

s = 40

500

4 / (y-2) = 1

y ≠ 2

y = 6

Solving Inequalities

100

5t - 4 < t - 8

t < -1

{ t ∈ ℝ| t < -1 }

200

7 + 3h ≥ -1 -5h

h ≥ -1

{ h ∈ ℝ| h ≥ -1 }

300

6d + 1 > 15 - d

d > 2

{ d ∈ ℝ| d > 2 }

400

5(t+2) ≥ 25 + 2t

t ≥ 5

{ t ∈ ℝ| t ≥ 5 }

500

-5k ≥ 20

k ≤ -4

{ k ∈ ℝ| k ≤ -4 }

Solving Literal Equations

100

Solve for x

ax + b = c

x = (c - b)/a

200

Solve for a

ax + b = c

a = (c - b)/x

300

Solve for b

ax + b = c

b = c - ax

400

Solve for c

a + (c/d) = b

c = d (b - a)

OR

c = db - da

500

Solve for x

y = mx + b

x = (y - b)/m

OR

x = y/m = b/m