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Substitution
Solve for X
Word problems, Substitution
Word Problem, Solve for X
Rules Of Math
100

y=x+2

x+y=8

x=3

y=5

100

x+9=18

9
100

Emma has 10 pieces of fruit. She has apples and oranges. She has 4 more apples than oranges.

Questions:

  • Write a system of equations.
  • Use substitution to find how many apples and oranges Emma has. 
  • Apples = 7
  • Oranges = 3
100

A number is 5 more than another number. Together, the two numbers add up to 17.


x=6

100

Whatever you do to one side----

You do to the other!

200

y=2x−1

3x+y=19


x=4

y=7

200

4x−7=29

9

200

A school play sold 40 tickets. Adult tickets cost $8, and student tickets cost $5. The play earned $260.

Questions:

  • Let aaa = adult tickets and sss = student tickets.
  • Write a system of equations.
  • Solve using substitution. 
  • Adult tickets = 20
  • Student tickets = 20
200

Sarah has twice as many stickers as Mia. Together, they have 36 stickers

x=12

200

Whats the rule called when you subtract by a negative?

Keep Change Change

300

x=3y−2

2x+y=18

y=22/7

x=52/7

300

5(x−2)=40

10

300

A pet store has 32 animals, made up of dogs and cats. There are 8 more dogs than cats.

Questions:

  • Let ddd = dogs and ccc = cats.
  • Write a system of equations.
  • Solve using substitution.
  • Dogs = 20
  • Cats = 12


300

A rectangle has a length that is 7 cm longer than its width. The perimeter is 54 cm.

x=10

300

A negative multiplied by another negative is always a..

positive

400

y=4−2x

5x−3y=22

x= 34/11

y=-24/11

400

3(x+4)−7=2x+10

5

400

A farmer has chickens and goats. There are 25 animals altogether. Together, they have 70 legs.

Questions:

  • Let ccc = chickens and ggg = goats.
  • Write a system of equations.
  • Solve using substitution.

Hint: Chickens have 2 legs, goats have 4 legs.

  • Chickens = 15
  • Goats = 10 
400

At a concert, the number of adults was 15 more than three times the number of children. There were 95 people altogether.

x=20

400

Whenever you divide a positive and a negative, it always equals a...

Negative
500

x=2y+5

4x−3y=46

y= 26/5

x= 77/5

500

4(2x−3)+5=3(x+7)+2x−8

20/3

500

A movie theater sold 180 tickets for one showing. Child tickets cost $7, and adult tickets cost $12. The theater collected $1,690 in ticket sales.

Questions:

  • Let ccc = child tickets and aaa = adult tickets.
  • Write a system of equations.
  • Solve using substitution.


  • Child tickets = 94
  • Adult tickets = 86



500

A father is 4 years younger than three times his son's age. In 6 years, the father's age will be twice his son's age plus 28 years.


x=38

500

What do you do when you're dividing a fraction by another fraction?

Keep Change Flip

KCF