Solving one step equations with addition and subtraction

Solving One Step Equations with Addition and Subtraction

Expression

A math sentence with a number, variable or a combination of numbers and variables. There is NO equal sign.

Examples: 

 3x

4p + 8

-2x -3 + 9h

Equation

A math sentence stating that two mathematical expressions are equal.

Examples:

5x + 9 = 24

-6y + 12 = y - 18

Dropdown

Which of the following has an equal sign?

Select answer

Drag and Drop

Drag and drop each equation.

Placeholder

Placeholder

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4x + 9 =2 - 3

x - 3 = 12

3f + 7

12.4m

Solution

The value of a variable that makes an equation true.

Example:

x + 5 = 7

Solution:

x = 2

Solving Equations

• Use INVERSE OPERATIONS to isolate the variable

  INVERSE OPERATIONS "undo" each other

  • Addition and Subtraction

  • Multiplication and Division

• Keep the equation balanced by performing the same operation on both sides of the equal sign.

Z + 6 = 3

• subtract 6 from both sides

Subtraction Property of Equality:

two sides of an equation remain equal when you subtract the same number from both sides.

Addition Property of Equality:

two sides of an equation remain equal when you add the same number from both sides.

m - 9 = 4

• add 9 to both sides

Drag and Drop

What is the first step to solve this equation?
z - 55 = 10

Placeholder

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Add 55 to both sides

Subtract 10 from both sides

Subtract 55 from both sides

Subtract 10 from one side

Drag and Drop

What is the first step to solve this equation?
m + 5 = 18

Placeholder

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Subtract 5 from both sides

Add 5 to both sides

Subtract 5 from one side

Add 18 to one side

Drag and Drop

What is the first step to solve this equation?
19 = x - 5

Placeholder

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Add 5 to both sides

Subtract 5 from both sides

Subtract 5 from one side and add 5 to the other

Subtract 5 from one side

Drag and Drop

What is the first step to solve this equation?
y + 5 = 12

Placeholder

Drag these tiles and drop them in the correct blank above

Subtract 5 from both sides

Subtract 5 from one side

Add 5 from both sides

Add 5 to one side and subtract 5 from the other

Drag and Drop

Solve for s algebraically.

24 = s - 8

Placeholder

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32

16

8

24

Drag and Drop

Solve for y algebraically. 

12 = y + 6

Placeholder

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6

18

4

20

Drag and Drop

Solve for m algebraically.

16 = m + 4 

Placeholder

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12

20

16

4

Drag and Drop

Solve for y algebraically. 

y - 35 = 50

Placeholder

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85

25

15

35

Drag and Drop

Solve for c algebraically. 



14 = c - 7

Placeholder

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21

7

14

28

Multiple Choice

Solve for x algebraically.

x + 5 = 23

• 28

• 18

• 23

• 20