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Solving Equations

Date post: 19-Jan-2015
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These cards review the five step method for solving equations, some notions about inverses and cross-multiplication.
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These flashcards are meant to help the student drill on essential facts needed to solve equations in one variable. The following method will be referenced on several cards. 1. Distribute 2. Collect Like Terms 3. "Get" all your variables onto one side. 4. Undo all additions/subtractions with the inverse. 5. Undo all multiplication/divisions with the inverse.
Transcript
Page 1: Solving Equations

These flashcards are meant to help the student drill on essential facts needed to solve equations in one 

variable.

The following method will be referenced on several cards.

1.  Distribute

2.  Collect Like Terms

3.  "Get" all your variables onto one side.

4.  Undo all additions/subtractions with the inverse.

5.  Undo all multiplication/divisions with the inverse.

Page 2: Solving Equations

Please supply the missing step(s) in the following list.

1.  

2.  Collect Like Terms

3.  "Get" all your variables onto one side.

4.  Undo all additions/subtractions with the inverse.

5.  Undo all multiplication/divisions with the inverse.

Page 3: Solving Equations

Please supply the missing step(s) in the following list.

1.  Distribute

2.  Collect Like Terms

3.  "Get" all your variables onto one side.

4.  Undo all additions/subtractions with the inverse.

5.  Undo all multiplication/divisions with the inverse.

Page 4: Solving Equations

True or False

According to the 5 step method, the first thing you should do to solve the equation above is... 

add 7 to both sides of the equation

Page 5: Solving Equations

True or False

According to the 5 step method, the first thing you should do to solve the equation above is... 

divide both sides of the equation by ­3

You should undo the ­7 by adding 7 to both sides of the equation, then divide by ­3 on both sides.

Page 6: Solving Equations

What is the inverse operation of addition?

Page 7: Solving Equations

What is the inverse operation of addition?

Subtraction

Page 8: Solving Equations

Please supply the missing step(s) in the following list.

1.  Distribute

2.  Collect Like Terms

3.  

4.  Undo all additions/subtractions with the inverse.

5.  Undo all multiplication/divisions with the inverse.

Page 9: Solving Equations

Please supply the missing step(s) in the following list.

1.  Distribute

2.  Collect Like Terms

3.  "Get" all your variables onto one side.

4.  Undo all additions/subtractions with the inverse.

5.  Undo all multiplication/divisions with the inverse.

Page 10: Solving Equations

What is the inverse operation of division?

Page 11: Solving Equations

What is the inverse operation of division?

Multiplication

Page 12: Solving Equations

Please supply the missing step(s) in the following list.

1.  Distribute

2.  Collect Like Terms

3.  "Get" all your variables onto one side.

4.  

5.  

Page 13: Solving Equations

Please supply the missing step(s) in the following list.

1.  Distribute

2.  Collect Like Terms

3.  "Get" all your variables onto one side.

4.  Undo all additions/subtractions with the inverse.

5.  Undo all multiplication/divisions with the inverse.

Page 14: Solving Equations

In which of the following problem(s) can you perform cross­multiplication to solve for the variable?

A. B. C. D.

Page 15: Solving Equations

In which of the following problem(s) can you perform cross­multiplication to solve for the variable?

A. B. C. D.

Although there are 2 fractions in each of these problems, neither can be SOLVED at all.  They are not equations.

Page 16: Solving Equations

True or False

According to the 5 step method, the first thing you should do to solve the equation above is... 

Combine Like Terms

Page 17: Solving Equations

True or False

According to the 5 step method, the first thing you should do to solve the equation above is... 

Combine Like Terms

You really need to"Get" all of your variables onto one side.

You cannot combine like terms at all here.  All the like terms are on different sides of the equation.

Page 18: Solving Equations

Please supply the missing step(s) in the following list.

1.  Distribute

2.  

3.  "Get" all your variables onto one side.

4.  Undo all additions/subtractions with the inverse.

5.  Undo all multiplication/divisions with the inverse.

Page 19: Solving Equations

Please supply the missing step(s) in the following list.

1.  Distribute

2.  Collect Like Terms

3.  "Get" all your variables onto one side.

4.  Undo all additions/subtractions with the inverse.

5.  Undo all multiplication/divisions with the inverse.

Page 20: Solving Equations

True or False

According to the 5 step method, the first thing you should do to solve the equation above is... 

Combine Like Terms

Page 21: Solving Equations

True or False

According to the 5 step method, the first thing you should do to solve the equation above is... 

Combine Like Terms


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