Linear Equation

Variables on Both Sides

100

Solve -2y + 1 = y - 5

y = 2

200

5/8 + 6a/11 = 7a/11 + 3/4

a = -11/8

300

x + 3 = -x - 5

x = -4

400

1 - 2x = -x - 3

x = 4

500

x - 2 = -3x + 2

x = 1

Rational Numbers

100

2/5 + a/2 = 4/5 +2a

a = -4/15

200

1/2b + 1/4b = -3/4

b = -1

300

x/2 + x/6 = 2

x = 3

400

1/4b + 1/5b - 3 = 15

b = 40

500

x/3 + 6 + 5x/6 =27

x = 18

Distributive Property

100

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

-4 = -12

200

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

x = 35

300

2( x+6) - 3 = 1/2x + 9

x = 0

400

1/6 (x - 9) = 5/6x + 17/2

x = -15

500

4/7x - 4 = 1/7 (x + 14)

x = 14

No or Many Solutions

100

How many solutions does this equation have? a + 2 = a - 2

None

200

How many solutions? b + 2 = b + 2

Many solutions

300

How many solutions? c = -c + 2

one

400

How many solutions? 5x +17 = 4(3x - 1)

one solution

500

4(x - 2) = 4x + 10

-8 = 10 No solution

Random

100

Company A rents copy machines for $300 a month plus $0.05 per copy. Company B charges $600 a month plus $0.01 per copy. For which number of copies do the two companies charge the same amount?

7500 Copies

200

What are the steps to solve this equation 3/8x + 15/2 = 18

Subtract 15/2 from both sides, and then multiply both sides of the equation by 8/3

300

4(x - 2) = x + 10

x = 6

400

-2(y + 12) = y - 9

y = -5

500

6(x - 1) = 6x - 1

-6 = -1 No solution