Solving 2-Step Equations
2y + 5 = 11
A baker makes x batches of cookies, with 8 cookies per batch, then gives 16 cookies away.
Write an equation for how many cookies the baker has leftover. (You are not solving)
(x times 8) - 16
You bring donuts to school. You decide to give 3 to your best friends, and share the remaining donuts with your 5 classmates.
How many donuts does each classmate get if you brought 18 donuts to school?
(x -3) divide 5
(18 -3) divide 5
15 divide 5
3
y + 3 = 15
Does the solution y = 12 work?
Yes, 12 + 3 = 15
What is a group of lizards called?
A lounge -- the lay in the sun together also called a "mess"
y/5+2 =1
y = -5
You are helping the school clean-up the trash. You find 5 pieces of trash per classroom, and 2 pieces in 1 of the commons
Write an equation to solve for the total amount of trash you will find when cleaning. (You are not solving)
5 times c + 2
A zombie steals x candy bars. Then after attacking some people he gets double the amount, then 12 candy bars melt.
How many does the zombie have if he originally stole 8?
2x - 12
(2 times 8) - 12
16 - 12
4
Solution: y = 5, is it valid
y/5 + 4 = 2
5/5 + 4 = 2
1 + 4 = 2
5 = 2, no it is not valid
(-5) times 2 + 4 divide 2
(-5) times 2 + 4 divide 2
-10 + 2
-8
y/6 + 3 =5
y = 12
You join the cross country team. One lap around the field is 2.2 miles, and one length is 0.5 miles.
Write an equation to represent how many total miles you would run. (You are not solving)
2.2 x m + 0.5 x p
where m = laps and p = lengths
A dragon started off with y gold coins. After giving away 20 coins, the remaining coins are split equally among 5 treasure chests.
How many gold coins are in each treasure chest if the dragon started of with 880 gold coins.
(x - 20) divide 5
(880 - 20) divide 5
860 divide 5
172
Equation: 3y + 5 = 20
3 x 5 + 5 = 20
15 + 5 = 20
20 = 20, yes the solution does work
If the radius is 5.7 centimeters, what is the Circumference?
C = 2 times pi times radius
C = 2 times 3.14 times 5.7
C = 35.796
3 - 2y = 33
y = -15
A wizard brews x gallons of a potion. After spilling 3 gallons, he pours the remaining potions evenly into 5 bottles.
Write an equation for how much of the potion the wizard has in each bottle. (you are not solving)
(x -3) divide 5
A haunted library starts with x books.
The books are cut in half, then 5 books magically appear.
If you started off with 112 books, how many do you have left after the magic?
(y divide 2) + 5
(112 divide 2) + 5
56 + 5
61
Solution: y = -3
Equation:
-4y + 2 = 14
-4 times y + 2 = 14
-4 times (-3) + 2 = 14
12 + 2 = 14
14 = 14
-10 - 3 = ???
-10 - 3 = -13
-4y + 7 = 15
y = -2
You are shopping with some friends at the mall, and buy sodas, where each costs $6. You then spend $45 at the mall.
Write an equation to see how much money you spent if you bought y sodas. (You are not solving)
6y + 45
A cat types x homework pages.
The copy machine triples the pages, then 9 pages jam and disappear.
How many pages do you end up if you typed 50 pages of homework?
3x - 9
(3 times 50) - 9
150 - 9
141
Solution: y = -5
Equation:
y / 5 + 2 = 3
y divide 5 + 2 = 3
(-5) divide 5 + 2 = 3
(-1) + 2 = 3
1 = 3
If the Circumference is 12.7 inches, what is the diameter?
D = Circumference divide pi
D = 12.7 divide 3.14
D = 4.044