Substitution
y=x+2
x+y=8
x=3
y=5
x+9=18
Emma has 10 pieces of fruit. She has apples and oranges. She has 4 more apples than oranges.
Questions:
A number is 5 more than another number. Together, the two numbers add up to 17.
x=6
Whatever you do to one side----
You do to the other!
y=2x−1
3x+y=19
x=4
y=7
4x−7=29
9
A school play sold 40 tickets. Adult tickets cost $8, and student tickets cost $5. The play earned $260.
Questions:
Sarah has twice as many stickers as Mia. Together, they have 36 stickers
x=12
Whats the rule called when you subtract by a negative?
Keep Change Change
x=3y−2
2x+y=18
y=22/7
x=52/7
5(x−2)=40
10
A pet store has 32 animals, made up of dogs and cats. There are 8 more dogs than cats.
Questions:
A rectangle has a length that is 7 cm longer than its width. The perimeter is 54 cm.
x=10
A negative multiplied by another negative is always a..
positive
y=4−2x
5x−3y=22
x= 34/11
y=-24/11
3(x+4)−7=2x+10
5
A farmer has chickens and goats. There are 25 animals altogether. Together, they have 70 legs.
Questions:
Hint: Chickens have 2 legs, goats have 4 legs.
At a concert, the number of adults was 15 more than three times the number of children. There were 95 people altogether.
x=20
Whenever you divide a positive and a negative, it always equals a...
x=2y+5
4x−3y=46
y= 26/5
x= 77/5
4(2x−3)+5=3(x+7)+2x−8
20/3
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:
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
What do you do when you're dividing a fraction by another fraction?
Keep Change Flip
KCF