SAT Math Strategies and Tips

Introduction

• The speaker has achieved perfect scores on SAT math sections.
• Video provides 54 practical tips and strategies for the digital SAT math section.
• All tips are demonstrated using questions from a digital SAT practice test.

Quick Question Solving Techniques

Simple Percentage Calculation

• Question: What is 10% of 470?
  • Express 10% as a decimal (0.1) and multiply by 470.
  • Solution: 47 (Answer choice B).

Solving Equations Quickly

• Question: Which equation has the same solution as the given equation?
  • Solution Steps:
    • Subtract 6 from both sides to simplify to 4x = 12.
    • Answer: C.

Word Problem Strategy

• Question: Writing inequalities for word problems.
  • Example: Rental cost problem - $25 service fee + $10 per hour.
  • Solution: Write inequality and solve.
  • Answer: D.

Function and Polynomial Questions

• Question: For G(x) = x² + 9, find x where G(x) = 25.
  • Solution Steps:
    • Set equation to 25 = x² + 9.
    • Solve for x: 16 = x², x = 4.
  • Answer: A.
• Probability Question
  • 14-sided die, probability of rolling a two.
  • Solution: 1/14 (Answer A).

Unit Conversion and Rates

• Question: Convert posters per minute to posters per hour.
  • Solution: Multiply 42 posters/minute by 60 minutes.
  • Answer: 2520 posters/hour.

Function Evaluation

• Question: For f(x) = 7x + 2, find f(4).
  • Solution: Substitute x with 4.
  • Answer: 30.

Linear and Exponential Growth

• Question: Assignment with 1-point and 3-point questions totaling 70 points.
  • Set equation: x + 3y = 70.
  • Answer: D.
• Exponential Growth
  • Bacteria growth: 300,000 cells, doubling every 3 hours.
  • Solution: Use exponential growth formula.
  • Answer: 9.6 million.

Geometry and Similar Triangles

• Question: Similar triangles, find measure of angle Q.
  • Solution: Angle M corresponds to angle Q, both 53 degrees.
  • Answer: B.

Systems of Equations and Scatterplots

• Question: Systems of equations, find value of x.
  • Use substitution or elimination.
  • Scatterplot: Identify linear model.
  • Solution: Draw line, compare slopes and intercepts.
  • Answer: B.

Problem Solving Strategies

• Graphing Calculator: Use for complex equations or intersections.
• Inequality Representation: Write out inequalities during word problem reading.
• SAT Tricks: Use calculator on difficult calculations.

Advanced Topics

Polynomial Functions

• Question: Number of x-values where f(x) = 0.
  • Solution: Count intersections with x-axis.
  • Answer: 3.

Perpendicular Lines

• Concept: Understanding negative reciprocal slopes.
• Strategy: Identify perpendicular relationships in equations.

Quadratic Equations

• Concept: Number of real solutions.
  • Use discriminant (b² - 4ac) to determine solutions.
  • Apply conditions for no real solutions.

Conclusion

• Summary of the importance of using these strategies effectively.
• Encouragement to practice and apply these techniques to improve SAT math performance.