Solving for a Variable
Fraction Busters
Equal Values Method
What is the solution?
Trivia
100

Solve for y. 

5x + 3y = 15

y = -5/3 x + 5

100

3/4 x = 60

x = 80

100

Find the point of intersection. 

y = 5x+1 

y= -3x - 15

(-2, -9)

100

Google Slide 1 

(1, -3)


100

What is the second planet from the sun?

Venus

200

Solve for x. 

5x + 3y = 15

y = -3/5 y + 3

200

− 8/3 m = 6

m = 66 2/3

200

Find the point of intersection. 

y = x-6 

y = 12- x

(9, 3)

200

Google Slide 2

(3, -1) 

200

How many great lakes are there?

300

Solve for a. 

b - 2a = c

a = (b+c)/2

300

(3x+1)/2 = 5

x = 3

300

y = 3x - 5

y = 2x + 14

(19, 52) 

300

Google Slide 3

(1, 2)

300

What is the population of Rootstown? 

*Closest estimate gets points*

8,232

400

Solve for p. 

6 - 2(q - 3p) = 4p

p = q - 3

400

1/3 x + 1/4 x = 4

x = 48/7

400

Larry and his sister, Betty, are saving money to buy their own laptop computers. Larry has $215 and can save $35 each week. Betty has $380 and can save $20 each week. When will Larry and Betty have the same amount of money?

11 weeks

400

Google Slide 4


(-2, 1)

400

How long has Ms. Lindsey been teaching at Rootstown?

3 years

500

Solve for r. 

4(r - 3s) = r - 5s

r = 7/3 s

500

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

x = 36/7

500

Ginny is raising pumpkins to enter a contest to see who can grow the heaviest pumpkin. Her best pumpkin weighs 22 pounds and is growing at the rate of 2.5 pounds per week. Martha planted her pumpkins late. Her best pumpkin weighs 10 pounds but she expects it to grow 4 pounds per week. Assuming that their pumpkins grow at these rates, in how many weeks will their pumpkins weigh the same? 

How much will they weigh? 

If the contest ends in seven weeks, who will have the heavier pumpkin at that time?

8 weeks

42 pounds

Ginny will have the heavier pumpkin

500

Google Slide 5 

No Solution

500

What’s more: the number of feet in a mile, or the number of pounds in two tons?

Feet in a mile!

5,280 vs 4,000