Foundations Level
Algebra
Build a strong foundation in algebraic concepts essential for SAT success.
What You'll Learn
Linear Equations
Solve and manipulate linear equations in one and two variables.
Linear Inequalities
Understand and solve inequalities, including graphing on number lines.
Systems of Equations
Solve systems of linear equations using substitution and elimination.
Basic Functions
Work with linear functions and understand slope-intercept form.
Key Concepts
- •Solving for Variables: Isolate variables using inverse operations
- •Slope-Intercept Form: Understanding y = mx + b and its components
- •Substitution Method: Replace one variable with an expression
- •Combining Like Terms: Simplify expressions by grouping similar terms
- •Distributive Property: Apply a(b + c) = ab + ac
Example Problem
If 3x + 7 = 22, what is the value of x?
Solution:
3x + 7 = 22
3x = 22 - 7 (subtract 7 from both sides)
3x = 15
x = 5 (divide both sides by 3)
Study Tips
- ✓Always perform the same operation on both sides of an equation
- ✓Check your answers by substituting back into the original equation
- ✓Remember to flip the inequality sign when multiplying or dividing by a negative number
- ✓Practice identifying which method (substitution or elimination) is more efficient for each problem
Start Practicing
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