1. Use inverse operations. Check your answer.
1. x – 17 = = y + 11
3. 12x =
5. x – 9 = -21
Math Fact!!
Chinese mathematicians had developed a decimal system by 100 BCE. It included fractions, zero, and negative numbers
Y = 30
X = 49
X = 9
W = 90
X = -12

2. Use inverse operations. Check your answer.
1. x – 17 = = y + 11
3. 12x =
5. x – 9 = -21
X = 49
x = 49
30 = y
y = 30
1x = 9
x = 9
∙ ∙5
90 = 1w
w = 90
X = -12
x = -12

3. Multiply/Divide Equations Equations
Solve each equation using inverse operations. Use substitution to check your solution. * Model all starred equations
1. 3d = q = 45
4. -8p =
9. Fred gathered 150 eggs in a week. This is half the number he normally gathers. Write and solve an equation to describe, e, the amount of eggs he normally gathers.
10. On Black Friday, Mrs Shaw spent $56.80 on headphones for her $14.20 each. Write and solve an equation to describe h, the number of headphones she bought.
q = 30
d = 19
x = 9
p = -11
h = 54
m = 30
b = -24
d = 3
e/2 = 150
E = 300
14.20h = 56.80
H = 4

4. Learn to solve two-step equations.
Here’s a quick video for you to watch

5. You can model two step equations using Algebra tiles and the teeter totter.
negative x = -x
positive x = x
positive 1 = 1
negative 1 = -1

6. So, what would 2x + 3 = 7 look like?
= -1
= 1
Our goal is to isolate x so that we can find out its size.
2x =
Subtract 3 from both sides
2x =
Divide both sides by 2 so that we can find out what 1x is equal to
x =

7. So, what would 2x - 5 = -3 look like?
= -1
= 1
Integer wars!!!!
Our goal is again to isolate x,
but… if we push off 5 reds on the left, we are going to have issues on the right.
2x =
Instead, let’s add 5 to both sides
Now, we need to know how much each x weighs (divide by 2).
2x =
2 2
X =

8. Let’s see how Ms Powell does it!
Click here!

9. Solve. Check each answer.
– 3 –3
Subtract 3 from both sides.
9c = 36 9c 9
= 36
Divide both sides by 9.
c = 4

10. Reverse the order of operations when solving equations that have more than one operation.
Helpful Hint

11. Let’s do a problem from your homework…1 2
k is being divided by -5 and having 1 subtracted
To undo this… 2 1
multiply by -5 and add 1
add 1

12. 2 Step Equations Day One
Solve each equation using inverse operations. Use substitution to check your solution. * Model all starred equations * *
7. Miss Ault’s furnace broke. A1 charged her $220 to fix it. Their website says they charge $30 hour and a that they have a service call fee of $40. Write and solve an equation to describe the number of hours, h, it took to fix her furnace.
Get to work!!!!! 