Solving Two Step Operations

Solving Two-Step Equations Lesson

By: J. Deberry

Integers Review!

• Examples:

  • 5 + (-12) =

  • 9 - (-3) =

  • -4 x (-2) =

  • -12 / 4 =​

Multiple Choice

Quick Check:

When you add numbers with DIFFERENT signs you....

• Subtract, then take the sign of the BIGGER number

• Add, then take the sign of the SMALLER number

• Add normally

• Do nothing

Multiple Select

Quick Check:

Same signs = POSITIVE answer

This is the rule for...

• Adding integers

• Subtracting integers

• Multiplying integers

• Dividing integers

Multiple Choice

Quick Check:

Choose the EQUIVALENT expression for 14 - 25

• 14 + 25

• 14 - (-25)

• 14 + (-25)

​Solving Equations Check-list

• ​The OPPOSITE of the Order of Operations

• Ask yourself... "Do I see [operation]? If so, do the OPPOSITE!

• You aren't finished unless you have a checkmark for all four operations!​

Multiple Choice

The goal of solving two-step equations is to:

• francine

• Find the coefficient 

• Find the value of the variable

Multiple Choice

Quick Check:

What comes first when solving the equation 5x + 3 = -7?

• Divide by 5

• Add 3

• Subtract 3

• Multiply by 5

Multiple Choice

-4x+1=21

• x=120

• x=5

• x=30

• x=-5

Multiple Choice

Quick Check:

What comes first when solving the equation x/6 - 4 = -10?

• Add 4

• Subtract 4

• Divide by 6

• Multiply by 6

Multiple Choice

19  + a  =  -50

• a = -950
• a =  -69
• a = -31
• a = -50/19

How do I know if I'm correct?!

• Remember substituting variables?

• Whatever solution you find, plug it back into your equation.

• If the sentence is TRUE, your answer is correct!​

• Example: Who is correct?

  • Sally says the solution to 6x + 3 = 27 is x=7

  • Sam says the solution to 6x + 3 = 27 is x=4​

Multiple Choice

Quick Check:

-3x - 5 = -11

Solution: x = 2

True or False?

• True

• False

Multiple Choice

x - 8 = -5 

• 13

• -13

• 3

• -3

Multiple Choice

Solve for x:
-6x + 1 = -11

• x = 2
• x = 1.2
• x = 12
• x = -2

Multiple Choice

10.    x / 2  - 5 = 3

• x = -2

• x = 2

• x = 16

• x = 8

Multiple Choice

Using the "opposite operation" to "undo" and isolate the variable when solving an equation is more commonly called...

• Inverse operations

• math

• variable

• PEMDAS

Multiple Choice

What is the first step in solving this equation:
5x + 7 = 12

• Divide by 5

• Subtract 5

• Multiply by 7

• Subtract 7

Multiple Choice

What is the first step to complete when solving this equation?
10 - 3y = 4

• Add 10

• Subtract 10

• Add 3

• Divide by -3

Multiple Choice

Solve for d:
-7(6 + d) = 49

• 13

• 1

• -1

• -13

Multiple Choice

Solve for x.
3/5x = 6

• x = 10
• x = 33
• x = 11 1/3
• x = 90

Multiple Choice

Solve for W:

• 9

• 11

• 15

• 10

Multiple Choice

What is the first step in solving this equation:
5x + 7 = 12

• Divide by 5
• Subtract 5
• Add 7
• Subtract 7

Multiple Choice

Solve: 3(x-4) = -3

• 3

• -3

• 5

• -5

Multiple Choice

Solve for x.

• x = -13
• x = -5
• x = -4
• x = 4

Poll

After working with solving equations and integers today, how are you feeling about your progress?

• I have NO CLUE what I'm doing

• I'm getting better but need more help

• It's so easy I can do this in my sleep!