One Step Equations: Addition and Subtraction

One Step Equations Addition and Subtraction Guided Practice

• Graded Assignment

• Switches to Independent Practice when 80% accuracy reached

• No Side Conversations during Guided Practice

One Step Equations

• Step 1: Determine your inverse operation.

• Step 2: Complete your one step to balance both sides.

• Step 3: Check your work by plugging your answer for the variable.

Adding One Step Equations

• x + 6 = 18

• Step one: subtract 6 from both sides.

• Step two: now you have x = 18 - 6

• Step three: x = 12

• Step four: Check your work by replacing your answer into the original equation

Subtracting One Step Equations

• x - 6 = 18

• Step one: add 6 from both sides.

• Step two: now you have x = 18 + 6

• Step three: x = 24

• Step four: Check your work by replacing your answer into the original equation

Multiple Choice

7 = b - 8

• b=15

• b=8

• b=1

• b=14

Multiple Choice

What step should you take first in order to isolate the variable?

b - 9 = 23

• Add 9 from both sides of the equation.

• subtract 9 from both sides of the equation

• Add 9 to the left side of the equation

• Subtract 9 from the right side of the equation

Multiple Choice

What is the inverse of addition?

• Multiplication

• Subtraction

• Addition

• Division

Multiple Choice

What is the purpose of doing the inverse operation?

• make things difficult

• isolate the variable

• move numbers around

• set it equal to zero

Review: Distributive property

• "Distribute" means to give out.

• You "give out" the number outside of the parentheses to the numbers inside of the parentheses by multiplying.

• Ex. 2 ( 5 + 6) = 2 (5) + 2 (6)

• Notice each number inside parentheses received a 2.

Multiple Choice

What is the simplified version of this expression? $$7\left(5x-1\right)$$  

• $$35x+7$$  

• $$35x-1$$  

• $$35x-7$$  

• $$-35x-7$$  

Multiple Choice

2(c - 8)

• 2c - 16
• 2c + 16
• 2c - 8
• c - 16

Multiple Choice

Use the distributive property to solve:

6(y + 4)

• 6y + 24

• 6y + 4

• y + 24

• 6 + y + 4

Review: Combining Like Terms

• Have the same variable, or letter, and the same base, or exponent

• Can be added or subtracted together

• Ex. 1 + 2 + 3 - 4 + n = 15

• 1, 2, 3, and 4 are all constants and like terms

• So it simplifies to 2 + n = 15

Multiple Choice

Which expression is equivalent to:
d + d + d + 3 + 2

• 3d + 5
• d + 5
• 2d + 7
• 3d + 4

Multiple Choice

Simplify by combining like terms:
5a + 2b - 3a + 4

• 8a + 2b + 4
• 2a + 2b + 4
• 8ab
• 4ab + 4

Multiple Choice

Combine like terms

21a + 9-3a

• 6a+9

• 18a+9

• 19a-34

• 10a-3

Multiple Choice

y + x + y + y + x 

• 2 + 3 
• x + y 
• 2x + 3y 
• 5xy