Lesson 5.2: Solve Two-Step Equations

Lesson 5.2

Solve Two-Step Equations

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Definition:

Isolating the Variable: To isolate the variable you will cancel out terms using opposite operations. This is what people mean when they say "solve for x".

Opposite Operations: Opposite operations are used to cancel out terms so that we can isolate the variable. The opposite of adding is subtracting and the opposite of multiplication is division.
Properties of Equality: When working with equations, whatever you do on one side of the equation you must do the exact same on the other side.

Subject | Subject

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​Key Concept: Real world problems can be expressed using equations, and these equations can be solved by using properties of equality.

​Ex: 2x + 4 = 8. Solve for x:

​Ex: -3x - 4 = 8

Multiple Choice

2x + 5 = 15

• x = 15

• x = 10

• x = 5

• x = 0

Multiple Choice

-4x - 8 = 8

• x = 4

• x = -4

• x = 2

• x = -2

Multiple Choice

Solve $$\frac{x}{3}+\ 2=\ 9$$

• x = 3

• x = 7

• x = 21

• $$x\ =\ \frac{7}{3}$$

Multiple Choice

Solve $$\frac{1}{2}x\ -\ 6\ =\ 4$$

• x = 10

• x = 5

• x = 20

• x = -1

​Conclusion: Write two complete sentences about what you learned.