Solving One-Step Equations
Objectives
- Solve equations involving addition and subtraction
- Solve equations involving multiplication and division
Start
Zoom Poll
x - 3 = 11
A. x = -14
B. x = 14
C. x = 8
Next
Zoom Poll
4x = 32
A. x = -14
B. x = 14
C. x = 8
Next
Equation
States two expressions are equal
In order to solve equations, we use
Inverse Operations
Operations that "undo" each other Multiplication and Division Addition and Subtraction
Solution
A value for the variable that makes the equation true.
Next
Look!
x - 3 = 11
x + 7 = 11
Next
Look!
4x = 32
Next
Properties of Equality
Addition Property of Equality
Adding the same value to each side of an equation does not change the relationship between the two expressions.
Subtraction Property of Equality
Subtracting the same value to each side of an equation does not change the relationship between the two expressions.
Multiplication Property of Equality
Multiplying each side of the equation by the same value does not change the relationship between the two expressions.
Division Property of Equality
Dividing each side of the equation by the same value does not change the relationship between the two expressions.
Next
Look!
Next
Zoom Poll
If a question is given in fraction form, state your answer in fraction form.
A. k = -1
B. k = -7/3
C. k = 7/3
Next
Zoom Poll
Multiplyby the reciprocal!
A. m = -16
B. m = 16
C. x = -9
Next
The temperature at 5 A.M was −5°F.During the morning, the temperature increased. At 10 A.M, the temperature was 20°F. How many degrees did the temperature rise?
Next
One-Step Equations
Gable C Rhoads
Created on October 7, 2025
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Transcript
Solving One-Step Equations
Objectives
Start
Zoom Poll
x - 3 = 11
A. x = -14
B. x = 14
C. x = 8
Next
Zoom Poll
4x = 32
A. x = -14
B. x = 14
C. x = 8
Next
Equation
States two expressions are equal
In order to solve equations, we use
Inverse Operations
Operations that "undo" each other Multiplication and Division Addition and Subtraction
Solution
A value for the variable that makes the equation true.
Next
Look!
x - 3 = 11
x + 7 = 11
Next
Look!
4x = 32
Next
Properties of Equality
Addition Property of Equality
Adding the same value to each side of an equation does not change the relationship between the two expressions.
Subtraction Property of Equality
Subtracting the same value to each side of an equation does not change the relationship between the two expressions.
Multiplication Property of Equality
Multiplying each side of the equation by the same value does not change the relationship between the two expressions.
Division Property of Equality
Dividing each side of the equation by the same value does not change the relationship between the two expressions.
Next
Look!
Next
Zoom Poll
If a question is given in fraction form, state your answer in fraction form.
A. k = -1
B. k = -7/3
C. k = 7/3
Next
Zoom Poll
Multiplyby the reciprocal!
A. m = -16
B. m = 16
C. x = -9
Next
The temperature at 5 A.M was −5°F.During the morning, the temperature increased. At 10 A.M, the temperature was 20°F. How many degrees did the temperature rise?
Next