Linear Equations and Inequalities

Solving Equations

100

3(x+1)=12

x=3

200

4(x+6) = 10x 

x=4

300

-2(x-2)-6 = 3(x+5)

x=-5

400

(1/2)*(x+2) = (1/4)*(x-2)

x = -6

500

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

x=60

Solving Inequalities

100

2x + 5 < 3

x < -1

200

-2x + 27 < 5x + 6

x > 3

300

Provide three solutions to the following equation

2(x+4) > 5x + 7

x < 1

400

Provide three solutions to the following inequality

(1/2)(x+3) < -2x +5

x < (7/5)

500

(x/5) - (x/3) > (8/15)

x < -4

Solving Formulas

100

The formula for work is

W = dF

Derive an equation for F in terms of W and d

F = W/d

200

The formula to convert between Celsius and Fahrenheit is

F = (9/5)(C + 32)

Derive an equation for C in terms of F

C = (5/9)F - 32

300

The volume of a pyramid is given by the equation 

V = (1/3)*Bh

Derive an equation for h in terms of B and V

h = 3V/B

400

The equation for distance is 

d = v(t₂-t₁)

Derive an equation for t₁ in terms of d, v, and t₂

t₂ = t₁ - d/v

500

The equation for light reflecting in a mirror is

(1/d₁) + (1/d₂) = (1/f)

Derive an equation for d₂ in terms of d₁ and f

d₂ = (-d₁f)/(f-d₁)

Solving for Variables

100

A = B + 2C

Derive an equation for B in terms of C and A

B = A - 2C

200

(2a+2c)/4 = b

Derive an equation for c in terms of a and b

c = 2b - a

300

(1/2)(a+b) = (1/4)(c+d)

Derive an equation for b in terms of a, c, and d

b = (c+d-2a)/2

400

(fm/2) + c = 2d

Derive an equation for m in terms of c, d, and f

m = (4d-2c)/f

500

(a/c) + (1/2) = (2d/e)

Derive an equation for c in terms of a,d, and e

c = a/((2d/e) - (1/2))

Misc

100

What elective do Mr. Barrow and Ms. Hogness teach?

Robotics

200

What is the address of AMS? 

1595 Bathgate Avenue

300

What animal did Ms. Hogness's family raise on their farm? 

Goats

400

What states did Mr. Barrow and Ms. Hogness grow up in? (Two answers)

Mr. Barrow: Florida

Ms. Hogness: Washington

500

How many squares are in a hershey bar?

12