Linear Equations

Solve for Unknown Variable

100

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

x=-33

200

6x - 0.2(10 - 8x) = 5.6

x=1

300

Leave as a fraction: 3(5x - 4) = 20(2 + 4x)

x= -52/65

Solve for Unknown Variable - Fractions

100

(3x-6)/12 + (4+x)/6 = 1/3

x = 2/5

200

1/4(x-4) = 1/4x - 1

Infinite Solutions

Create a table of values

100

Create an x & y table for the equation y=1/3(9-x), using the values for x of -1 to 1

x: -1, 0, 1

y: 10/3, 3, 8/3

200

Complete the chart for 4x + y = 8

x: 2,   ? ,   ?

y: ? , -8, -12

x: 2 ,   4 ,   5

y: 0 ,   -8,  -12

Express x in terms of y and solve

100

-5(x+3) = 8y

a) Express x in terms of y

b) Find the value of x when y = -1

a) x = -8/5y - 3

b) x = 23/5

200

(2x+3)/4 = y

a) Express x in terms of y

b) Find the value of x when y = 1

a) x = (4y-3)/2

b) x = 1/2

Word Problem

500

Yankel wants to spend his Chanukah vacation biking at the beach. The chart below shows the relationship between the rental hours and total cost of biking. 

Rental Hours (h): 0,   1,   2,   3

Total Cost (C):    45, 55, 65, 75

a) Write a linear equation describing the relationship between the rental hours and total cost of biking:

b) If Yankel decided to rent the bike for 8 hours, what would be his total cost?

a) C = 10h + 45

b) C = 125