Solve for X
One Solution, No Solution and Infinite Solution
Distributing with Fractions
Solve for y when x = 3
Word Problems
100

3x = 24

x = 8

100

3x = 3x

Infinite Solution

100

1/2(4x + 8) = 12

x = 4

100

y = x + 5   

y = 8

100

Layla is x years old.  Her brother is 4 years older than her.  Their combined age is 34.  How old is Layla?

Layla is 15 years old. 

200

5x + 16 = 76

x = 12

200

4x + 5 = 4x - 5

No Solution

200

1/3(9 - 24x) = 2(2x + 3)

x = -1/4

200

y = 2x - 16

y = -10

200

Yianni is x years old.  His brother is 3 years older than him.  In 5 years their combined age is 43. How old Is Yianni's brother now?

Yianni's brother is 18 years old. 

300

3x - 12 + 4x = -47

x = -5

300

3(x + 11) - 12 + 5x = -3

x = -3

300

3/4(12 + 4x) -10 = 5x + 4

x = -2/5

300

y = 3x - 15 

y = -6

300

Willie was ordering pizza.  Frank's Pizzeria had a deliver charge of $10 plus each pizza costs $14.  If Willie orders 7 pizzas for delivery, what is his bill?

Willie's bill is $108.

400

2(x + 9) + 7x - 15 = 7.5

x = 1/2

400

4x + 8 + 2 = 4(x - 3)

No Solution

400

3/5(15 - 25x) - 6 = 33

x = -2

400

6 + y = 2x + 7

y = 7

400

A cell phone company charges $26 as a base rate per month with a charge of $5.50 for each gigabyte used.  If Jennie used 8 gigabytes last month, what was the total of her bill?

Jennie's total bill was $70. 

500

3(y + 7) - 2(y - 12) = 30

y = -15

500

3(x - 5) - x + 7 = 2(x + 4)

Infinite Solutions

500

1/4(2x - 12) + 8 = -2/3(9 + 3x)

x = -4 2/5

500

4x + y = -3 + 2x

y = -9

500
Mr. G is hanging a sign up in his new office.  The wall is 17ft tall.  The sign is 5ft.  The distance from the ceiling to the sign is 1/2 the distance from the sign to the floor.  How far is the sign from the floor?

The sign is 8ft from the floor. 

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