Solving Equations

Solving Linear Equations

100

Solve for x:    10 + x = 46

x = 36

200

Solve for y:     y - (-12) = 68

y = 56

300

Solve for t:   17t = 51

t = 3

400

Solve for m:    6m + 2m - m - 2m = 65

m = 13

500

A group of 8 friends went to the movies one evening. The total cost of their tickets was $68. What was the cost of each movie ticket?

Each ticket costs $8.50

Solving Multi-Step Equations

100

Solve for g 3g + 8 = 50

g = 14

200

Solve for b 3(b - 12) = 63

b = 33

300

Solve for k 10(k + 9) - 3k = 111

k = 3

400

Solve for v 6v + 8 +12v - 7 = 10v - 3v + 11

v = .90

500

Solve for z 10(z + 5) - 2 + 8z = 5(z - 3) + 7 - z

z = -2.857

Solving Equations with variables on both sides

100

Solve for n and graph the solutions 4n + 4 = 2n + 12

n = 4

200

Solve for h and graph the solutions 15h - 10 = 10h + 75

h = 17

300

Solve for q and graph the solutions 4( q - 3) = -2q + 36

q = 8

400

6n - 10 = 4n - 42

n = -16

500

5n - 7 = -3n + 41

n = 6

Writing Equations

100

One phone plan costs $60 for 1000 minutes and $.50 for each minute you go over your allowance. Define your vairables, and write an equation that represents your total monthly cost.

x = minutes over allowance y = total monthly cost y = 60 + .5x

200

To attend a Nickelback concert, tickets cost $75 plus $20 to park. Define your variables, then write an equation that represents the total cost to attend the concert.

x = number of tickets purchased y = total cost to attend concert y = 20 + 75x

300

Write the equation for a line that contains the points (0, 3) and (3, 15 ) 

y = 4x + 3

400

Write an equation for the line that contains the points (-1, 2) and (2, 8)

y = 2x =4

500

A car is traveling down a long steep hill. At 0 seconds the car is 7500 feet above above sea level. At 8 seconds the car is 5500 feet above sea level. At 15 seconds the car is at 3750 feet above sea level. Define your variables, and write an equation that represents the height above sea level (in feet) that the car is at.

x = seconds y = height of car y = 7500 - 250x

Potpourri

100

Harry Potter has a white owl. What is the name of this white owl?

Hedwig

200

What mountain range is Mt Everest in? 

The Himalayas

300

What NFL team did John Elway play for?

Denver Broncos

400

What state is home to Zion National Park

Utah

500

Complete the quote from Star Wars Epsiode 3: Revenge of the Sith. Obi-Wan: "You were the chosen one! It was said that you would destroy the sith, not ________ ________!"

"join them"