Important Concepts
Important Concepts
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Solving Equations with Variables on Both Sides of the Equal Sign
Solving Equations with Variables on Both Sides of the Equal Sign
Start by moving the smaller coefficient!
Goal: Move the variables to one side of the equal sign and the constants to the other
If there are parentheses, you MUST apply the distributive property first!
Then solve the equation for the given variable!
Number of Solutions
Number of Solutions
There is only ONE number that can be plugged into the equation that would work!
The equation has DIFFERENT coefficients
The equation has DIFFERENT coefficients
There is NO number that can be plugged into the equation that would work!
The equation has the SAME coefficients, DIFFERENT constants
The equation has the SAME coefficients, DIFFERENT constants
There INFINITELY MANY numbers that can be plugged into the equation that would work!
The equation has the SAME coefficients, SAME constants
The equation has the SAME coefficients, SAME constants
Solving Multi-Step Word Problems
Solving Multi-Step Word Problems
- Read the question carefully and highlight important information
- Write a let statement to define the variable
- Write an expression for each side of the equal sign
- Solve the equation by using inverse operations
- Write your answer as a sentence
- Evaluate each expression if the questions asks!
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