Course Content
Radical Laws and Notation
0/2
Units and Quantitative Reasoning
0/1
One Step Equations
0/1
Two Step Equations
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Multi Step Equation
0/1
Coordinate Plane
0/1
Understanding Slope
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Slope Intercept Form
0/1
Point Slope Form
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Standard Form
0/1
Transformations of Linear Functions
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Parallel Lines
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Perpendicular Lines
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Understanding Inequalities
0/1
One Step Inequalities
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Two Step Inequalities
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Multi Step Inequalities
0/1
Compound Inequalities
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System of Equations
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Solving System of Equations
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System of Inequalities
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Understanding Functions
0/1
Function Notation
0/1
Interpret and Model Functions
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Operations on Functions
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Composite Functions
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Inverse Functions
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Arithmetic Sequence
0/1
Geometric Sequences
0/1
Mixed Sequence
0/1
Recursive Formulas For Sequences
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Exponential Growth and Decay
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Algebra

Simplifying means:

➡️ rewriting an expression in a cleaner, shorter, easier-to-read form
without changing its value.

You are not finding one number as the final answer (unless the expression has no variables).

Common simplifying actions:

Combine like terms
Use the distributive property
Reduce fractions
Remove parentheses
Put in standard form


🔥 Example of simplifying

Expression:

4x + 2x – 3

Combine like terms:

6x – 3

✅ Simplified form:

6x – 3


Another example (with distributing)

3(x + 4)

Distribute the 3:

3x + 12

✅ Simplified form:

3x + 12


✅ What Does It Mean to Evaluate an Expression?

Evaluating means:

➡️ plugging in a number for the variable(s) and getting a final number answer

So you replace the variable with the given value, then do the math.


🔥 Example of evaluating

Expression:

2x + 5

Evaluate when x = 3:

Substitute:

2(3) + 5

Solve:

6 + 5 = 11

✅ Final answer: 11


⭐ Simplifying vs Evaluating (Easy Comparison)

Simplifying

  • You keep the variables

  • You make it shorter/cleaner

  • Example:

7x + 2x = 9x

Evaluating

  • You plug in numbers

  • You get one final number

  • Example:

9x when x=2=18

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